What If Quantum Vacuum Fluctuations Are Virtual Gravitational Dipoles?
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Dispersion Relations in Loop Calculations
LMU–07/96 MPI/PhT/96–055 hep–ph/9607255 July 1996 Dispersion Relations in Loop Calculations∗ Bernd A. Kniehl† Institut f¨ur Theoretische Physik, Ludwig-Maximilians-Universit¨at, Theresienstraße 37, 80333 Munich, Germany Abstract These lecture notes give a pedagogical introduction to the use of dispersion re- lations in loop calculations. We first derive dispersion relations which allow us to recover the real part of a physical amplitude from the knowledge of its absorptive part along the branch cut. In perturbative calculations, the latter may be con- structed by means of Cutkosky’s rule, which is briefly discussed. For illustration, we apply this procedure at one loop to the photon vacuum-polarization function induced by leptons as well as to the γff¯ vertex form factor generated by the ex- change of a massive vector boson between the two fermion legs. We also show how the hadronic contribution to the photon vacuum polarization may be extracted + from the total cross section of hadron production in e e− annihilation measured as a function of energy. Finally, we outline the application of dispersive techniques at the two-loop level, considering as an example the bosonic decay width of a high-mass Higgs boson. arXiv:hep-ph/9607255v1 8 Jul 1996 1 Introduction Dispersion relations (DR’s) provide a powerful tool for calculating higher-order radiative corrections. To evaluate the matrix element, fi, which describes the transition from some initial state, i , to some final state, f , via oneT or more loops, one can, in principle, adopt | i | i the following two-step procedure. -
The Vacuum Polarization of a Charged Vector Field
SOVIET PHYSICS JETP VOLUME 21, NUMBER 2 AUGUST, 1965 THE VACUUM POLARIZATION OF A CHARGED VECTOR FIELD V. S. VANYASHIN and M. V. TERENT'EV Submitted to JETP editor June 13, 1964; resubmitted October 10, 1964 J. Exptl. Theoret. Phys. (U.S.S.R.) 48, 565-573 (February, 1965) The nonlinear additions to the Lagrangian of a constant electromagnetic field, caused by the vacuum polarization of a charged vector field, are calculated in the special case in which the gyromagnetic ratio of the vector boson is equal to 2. The result is exact for an arbri trarily strong electromagnetic field, but does not take into account radiative corrections, which can play an important part in the unrenormalized electrodynamics of a vector boson. The anomalous character of the charge renormalization is pointed out. 1. INTRODUCTION IN recent times there have been frequent discus sions in the literature on the properties of the charged vector boson, which is a possible carrier virtual photons gives only small corrections to the of the weak interactions. At present all that is solution. If we are dealing with a vector particle, known is that if such a boson exists its mass must then we come into the domain of nonrenormal be larger than 1. 5 Be V. The theory of the electro izable theory and are not able to estimate in any magnetic interactions of such a particle encounters reasonable way the contribution of the virtual serious difficulties in connection with renormali photons to the processes represented in the figure. zation. Without touching on this difficult problem, Although this is a very important point, all we can we shall consider a problem, in our opinion not a do here is to express the hope that in cases in trivial one, in which the nonrenormalizable char which processes of this kind occur at small ener acter of the electrodynamics of the vector boson gies of the external field the radiative corrections makes no difference. -
The Lamb Shift Experiment in Muonic Hydrogen
The Lamb Shift Experiment in Muonic Hydrogen Dissertation submitted to the Physics Faculty of the Ludwig{Maximilians{University Munich by Aldo Sady Antognini from Bellinzona, Switzerland Munich, November 2005 1st Referee : Prof. Dr. Theodor W. H¨ansch 2nd Referee : Prof. Dr. Dietrich Habs Date of the Oral Examination : December 21, 2005 Even if I don't think, I am. Itsuo Tsuda Je suis ou` je ne pense pas, je pense ou` je ne suis pas. Jacques Lacan A mia mamma e mio papa` con tanto amore Abstract The subject of this thesis is the muonic hydrogen (µ−p) Lamb shift experiment being performed at the Paul Scherrer Institute, Switzerland. Its goal is to measure the 2S 2P − energy difference in µp atoms by laser spectroscopy and to deduce the proton root{mean{ −3 square (rms) charge radius rp with 10 precision, an order of magnitude better than presently known. This would make it possible to test bound{state quantum electrody- namics (QED) in hydrogen at the relative accuracy level of 10−7, and will lead to an improvement in the determination of the Rydberg constant by more than a factor of seven. Moreover it will represent a benchmark for QCD theories. The experiment is based on the measurement of the energy difference between the F=1 F=2 2S1=2 and 2P3=2 levels in µp atoms to a precision of 30 ppm, using a pulsed laser tunable at wavelengths around 6 µm. Negative muons from a unique low{energy muon beam are −1 stopped at a rate of 70 s in 0.6 hPa of H2 gas. -
THE STRONG INTERACTION by J
MISN-0-280 THE STRONG INTERACTION by J. R. Christman 1. Abstract . 1 2. Readings . 1 THE STRONG INTERACTION 3. Description a. General E®ects, Range, Lifetimes, Conserved Quantities . 1 b. Hadron Exchange: Exchanged Mass & Interaction Time . 1 s 0 c. Charge Exchange . 2 d L u 4. Hadron States a. Virtual Particles: Necessity, Examples . 3 - s u - S d e b. Open- and Closed-Channel States . 3 d n c. Comparison of Virtual and Real Decays . 4 d e 5. Resonance Particles L0 a. Particles as Resonances . .4 b. Overview of Resonance Particles . .5 - c. Resonance-Particle Symbols . 6 - _ e S p p- _ 6. Particle Names n T Y n e a. Baryon Names; , . 6 b. Meson Names; G-Parity, T , Y . 6 c. Evolution of Names . .7 d. The Berkeley Particle Data Group Hadron Tables . 7 7. Hadron Structure a. All Hadrons: Possible Exchange Particles . 8 b. The Excited State Hypothesis . 8 c. Quarks as Hadron Constituents . 8 Acknowledgments. .8 Project PHYSNET·Physics Bldg.·Michigan State University·East Lansing, MI 1 2 ID Sheet: MISN-0-280 THIS IS A DEVELOPMENTAL-STAGE PUBLICATION Title: The Strong Interaction OF PROJECT PHYSNET Author: J. R. Christman, Dept. of Physical Science, U. S. Coast Guard The goal of our project is to assist a network of educators and scientists in Academy, New London, CT transferring physics from one person to another. We support manuscript Version: 11/8/2001 Evaluation: Stage B1 processing and distribution, along with communication and information systems. We also work with employers to identify basic scienti¯c skills Length: 2 hr; 12 pages as well as physics topics that are needed in science and technology. -
On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics
entropy Article On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics Theodorus M. Nieuwenhuizen 1,2 1 Institute for Theoretical Physics, P.O. Box 94485, 1098 XH Amsterdam, The Netherlands; [email protected]; Tel.: +31-20-525-6332 2 International Institute of Physics, UFRG, Av. O. Gomes de Lima, 1722, 59078-400 Natal-RN, Brazil Academic Editors: Gregg Jaeger and Andrei Khrennikov Received: 19 February 2016; Accepted: 31 March 2016; Published: 13 April 2016 Abstract: De la Peña 1980 and Puthoff 1987 show that circular orbits in the hydrogen problem of Stochastic Electrodynamics connect to a stable situation, where the electron neither collapses onto the nucleus nor gets expelled from the atom. Although the Cole-Zou 2003 simulations support the stability, our recent numerics always lead to self-ionisation. Here the de la Peña-Puthoff argument is extended to elliptic orbits. For very eccentric orbits with energy close to zero and angular momentum below some not-small value, there is on the average a net gain in energy for each revolution, which explains the self-ionisation. Next, an 1/r2 potential is added, which could stem from a dipolar deformation of the nuclear charge by the electron at its moving position. This shape retains the analytical solvability. When it is enough repulsive, the ground state of this modified hydrogen problem is predicted to be stable. The same conclusions hold for positronium. Keywords: Stochastic Electrodynamics; hydrogen ground state; stability criterion PACS: 11.10; 05.20; 05.30; 03.65 1. Introduction Stochastic Electrodynamics (SED) is a subquantum theory that considers the quantum vacuum as a true physical vacuum with its zero-point modes being physical electromagnetic modes (see [1,2]). -
Muonium-Antimuonium Conversion Abstract
SciPost Phys. Proc. 5, 009 (2021) Muonium-antimuonium conversion Lorenz Willmann? and Klaus Jungmann Van Swinderen Institute, University of Groningen, 9747 AA, Groningen, The Netherlands ? [email protected] Review of Particle Physics at PSI doi:10.21468/SciPostPhysProc.5 Abstract The MACS experiment performed at PSI in the 1990s provided an yet unchallenged upper bound on the probability for a spontaneous conversion of the muonium atom, + + M =(µ e−), into its antiatom, antimuonium M =(µ−e ). It comprises the culmination of a series of measurements at various accelerator laboratories worldwide. The experimen- tal limits on the process have provided input and steering for the further development of a variety of theoretical models beyond the standard theory, in particular for mod- els which address lepton number violating processes and matter-antimatter oscillations. Several models beyond the standard theory could be strongly disfavored. There is inter- est in a new measurement and improved sensitivity could be reached by exploiting the time evolution of the conversion process, e.g., at intense pulsed muonium sources. Copyright L. Willmann and K. Jungmann. Received 16-02-2021 This work is licensed under the Creative Commons Accepted 28-04-2021 Check for Attribution 4.0 International License. Published 06-09-2021 updates Published by the SciPost Foundation. doi:10.21468/SciPostPhysProc.5.009 9.1 Introduction + The bound state of a positive muon (µ ) and an electron (e−) is an exotic atom which has been named muonium (M) by V.Telegdi. This exotic atom was first produced and observed by V.W. Hughes and collaborators in 1960 [1]. -
The Casimir-Polder Effect and Quantum Friction Across Timescales Handelt Es Sich Um Meine Eigen- Ständig Erbrachte Leistung
THECASIMIR-POLDEREFFECT ANDQUANTUMFRICTION ACROSSTIMESCALES JULIANEKLATT Physikalisches Institut Fakultät für Mathematik und Physik Albert-Ludwigs-Universität THECASIMIR-POLDEREFFECTANDQUANTUMFRICTION ACROSSTIMESCALES DISSERTATION zu Erlangung des Doktorgrades der Fakultät für Mathematik und Physik Albert-Ludwigs Universität Freiburg im Breisgau vorgelegt von Juliane Klatt 2017 DEKAN: Prof. Dr. Gregor Herten BETREUERDERARBEIT: Dr. Stefan Yoshi Buhmann GUTACHTER: Dr. Stefan Yoshi Buhmann Prof. Dr. Tanja Schilling TAGDERVERTEIDIGUNG: 11.07.2017 PRÜFER: Prof. Dr. Jens Timmer Apl. Prof. Dr. Bernd von Issendorff Dr. Stefan Yoshi Buhmann © 2017 Those years, when the Lamb shift was the central theme of physics, were golden years for all the physicists of my generation. You were the first to see that this tiny shift, so elusive and hard to measure, would clarify our thinking about particles and fields. — F. J. Dyson on occasion of the 65th birthday of W. E. Lamb, Jr. [54] Man kann sich darüber streiten, ob die Welt aus Atomen aufgebaut ist, oder aus Geschichten. — R. D. Precht [165] ABSTRACT The quantum vacuum is subject to continuous spontaneous creation and annihi- lation of matter and radiation. Consequently, an atom placed in vacuum is being perturbed through the interaction with such fluctuations. This results in the Lamb shift of atomic levels and spontaneous transitions between atomic states — the properties of the atom are being shaped by the vacuum. Hence, if the latter is be- ing shaped itself, then this reflects in the atomic features and dynamics. A prime example is the Casimir-Polder effect where a macroscopic body, introduced to the vacuum in which the atom resides, causes a position dependence of the Lamb shift. -
Hadronic Light-By-Light Contribution to $(G-2) \Mu $ from Lattice QCD: A
MITP/21-019 CERN-TH-2021-047 Hadronic light-by-light contribution to (g − 2)µ from lattice QCD: a complete calculation En-Hung Chao,1 Renwick J. Hudspith,1 Antoine G´erardin,2 Jeremy R. Green,3 Harvey B. Meyer,1, 4, 5 and Konstantin Ottnad1 1PRISMA+ Cluster of Excellence & Institut f¨urKernphysik, Johannes Gutenberg-Universit¨atMainz, D-55099 Mainz, Germany 2Aix Marseille Univ, Universit´ede Toulon, CNRS, CPT, Marseille, France 3Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland 4Helmholtz Institut Mainz, Staudingerweg 18, D-55128 Mainz, Germany 5GSI Helmholtzzentrum f¨urSchwerionenforschung, Darmstadt, Germany (Dated: April 7, 2021) We compute the hadronic light-by-light scattering contribution to the muon g 2 − from the up, down, and strange-quark sector directly using lattice QCD. Our calcu- lation features evaluations of all possible Wick-contractions of the relevant hadronic four-point function and incorporates several different pion masses, volumes, and lattice-spacings. We obtain a value of aHlbl = 106:8(14:7) 10−11 (adding statistical µ × and systematic errors in quadrature), which is consistent with current phenomenolog- ical estimates and a previous lattice determination. It now appears conclusive that the hadronic light-by-light contribution cannot explain the current tension between theory and experiment for the muon g 2. − I. INTRODUCTION The anomalous magnetic moment of the muon, aµ (g 2)µ=2, is one of the most precisely measured quantities of the Standard Model (SM)≡ of− particle physics. Its value is of considerable interest to the physics community as, currently, there exists a 3:7σ tension between the experimental determination of Ref. -
1 the LOCALIZED QUANTUM VACUUM FIELD D. Dragoman
1 THE LOCALIZED QUANTUM VACUUM FIELD D. Dragoman – Univ. Bucharest, Physics Dept., P.O. Box MG-11, 077125 Bucharest, Romania, e-mail: [email protected] ABSTRACT A model for the localized quantum vacuum is proposed in which the zero-point energy of the quantum electromagnetic field originates in energy- and momentum-conserving transitions of material systems from their ground state to an unstable state with negative energy. These transitions are accompanied by emissions and re-absorptions of real photons, which generate a localized quantum vacuum in the neighborhood of material systems. The model could help resolve the cosmological paradox associated to the zero-point energy of electromagnetic fields, while reclaiming quantum effects associated with quantum vacuum such as the Casimir effect and the Lamb shift; it also offers a new insight into the Zitterbewegung of material particles. 2 INTRODUCTION The zero-point energy (ZPE) of the quantum electromagnetic field is at the same time an indispensable concept of quantum field theory and a controversial issue (see [1] for an excellent review of the subject). The need of the ZPE has been recognized from the beginning of quantum theory of radiation, since only the inclusion of this term assures no first-order temperature-independent correction to the average energy of an oscillator in thermal equilibrium with blackbody radiation in the classical limit of high temperatures. A more rigorous introduction of the ZPE stems from the treatment of the electromagnetic radiation as an ensemble of harmonic quantum oscillators. Then, the total energy of the quantum electromagnetic field is given by E = åk,s hwk (nks +1/ 2) , where nks is the number of quantum oscillators (photons) in the (k,s) mode that propagate with wavevector k and frequency wk =| k | c = kc , and are characterized by the polarization index s. -
Dynamic Quantum Vacuum and Relativity
Dynamic Quantum Vacuum and Relativity Davide Fiscaletti*, Amrit Sorli** *SpaceLife Institute, San Lorenzo in Campo (PU), Italy **Foundations of Physics Institute, Idrija, Slovenia [email protected] [email protected] Abstract A model of a three-dimensional quantum vacuum with variable energy density is proposed. In this model, time we measure with clocks is only a mathematical parameter of material changes, i.e. motion in quantum vacuum. Inertial mass and gravitational mass have origin in dynamics between a given particle or massive body and diminished energy density of quantum vacuum. Each elementary particle is a structure of quantum vacuum and diminishes quantum vacuum energy density. Symmetry “particle – diminished energy density of quantum vacuum” is the fundamental symmetry of the universe which gives origin to mass and gravity. Special relativity’s Sagnac effect in GPS system and important predictions of general relativity such as precessions of the planets, the Shapiro time delay of light signals in a gravitational field and the geodetic and frame-dragging effects recently tested by Gravity Probe B, have origin in the dynamics of the quantum vacuum which rotates with the earth. Gravitational constant GN and velocity of light c have small deviations of their value which are related to the variable energy density of quantum vacuum. Key words: energy density of quantum vacuum, Sagnac effect, relativity, dark energy, Mercury precession, symmetry, gravitational constant. PACS numbers: 04. ; 04.20-q ; 04.50.Kd ; 04.60.-m. 1. Introduction The idea of 19th century physics that space is filled with “ether” did not get experimental prove in order to remain a valid concept of today physics. -
Arxiv:1202.1557V1
The Heisenberg-Euler Effective Action: 75 years on ∗ Gerald V. Dunne Physics Department, University of Connecticut, Storrs, CT 06269-3046, USA On this 75th anniversary of the publication of the Heisenberg-Euler paper on the full non- perturbative one-loop effective action for quantum electrodynamics I review their paper and discuss some of the impact it has had on quantum field theory. I. HISTORICAL CONTEXT After the 1928 publication of Dirac’s work on his relativistic theory of the electron [1], Heisenberg immediately appreciated the significance of the new ”hole theory” picture of the quantum vacuum of quantum electrodynamics (QED). Following some confusion, in 1931 Dirac associated the holes with positively charged electrons [2]: A hole, if there were one, would be a new kind of particle, unknown to experimental physics, having the same mass and opposite charge to an electron. With the discovery of the positron in 1932, soon thereafter [but, interestingly, not immediately [3]], Dirac proposed at the 1933 Solvay Conference that the negative energy solutions [holes] should be identified with the positron [4]: Any state of negative energy which is not occupied represents a lack of uniformity and this must be shown by observation as a kind of hole. It is possible to assume that the positrons are these holes. Positron theory and QED was born, and Heisenberg began investigating positron theory in earnest, publishing two fundamental papers in 1934, formalizing the treatment of the quantum fluctuations inherent in this Dirac sea picture of the QED vacuum [5, 6]. It was soon realized that these quantum fluctuations would lead to quantum nonlinearities [6]: Halpern and Debye have already independently drawn attention to the fact that the Dirac theory of the positron leads to the scattering of light by light, even when the energy of the photons is not sufficient to create pairs. -
Charm Meson Molecules and the X(3872)
Charm Meson Molecules and the X(3872) DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Masaoki Kusunoki, B.S. ***** The Ohio State University 2005 Dissertation Committee: Approved by Professor Eric Braaten, Adviser Professor Richard J. Furnstahl Adviser Professor Junko Shigemitsu Graduate Program in Professor Brian L. Winer Physics Abstract The recently discovered resonance X(3872) is interpreted as a loosely-bound S- wave charm meson molecule whose constituents are a superposition of the charm mesons D0D¯ ¤0 and D¤0D¯ 0. The unnaturally small binding energy of the molecule implies that it has some universal properties that depend only on its binding energy and its width. The existence of such a small energy scale motivates the separation of scales that leads to factorization formulas for production rates and decay rates of the X(3872). Factorization formulas are applied to predict that the line shape of the X(3872) differs significantly from that of a Breit-Wigner resonance and that there should be a peak in the invariant mass distribution for B ! D0D¯ ¤0K near the D0D¯ ¤0 threshold. An analysis of data by the Babar collaboration on B ! D(¤)D¯ (¤)K is used to predict that the decay B0 ! XK0 should be suppressed compared to B+ ! XK+. The differential decay rates of the X(3872) into J=Ã and light hadrons are also calculated up to multiplicative constants. If the X(3872) is indeed an S-wave charm meson molecule, it will provide a beautiful example of the predictive power of universality.