Exploring the Fundamental Properties of Matter with an Electron-Ion Collider
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Asymptotic Freedom, Quark Confinement, Proton Spin Crisis, Neutron Structure, Dark Matters, and Relative Force Strengths
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 17 February 2021 doi:10.20944/preprints202102.0395.v1 Asymptotic freedom, quark confinement, proton spin crisis, neutron structure, dark matters, and relative force strengths Jae-Kwang Hwang JJJ Physics Laboratory, Brentwood, TN 37027 USA Abstract: The relative force strengths of the Coulomb forces, gravitational forces, dark matter forces, weak forces and strong forces are compared for the dark matters, leptons, quarks, and normal matters (p and n baryons) in terms of the 3-D quantized space model. The quark confinement and asymptotic freedom are explained by the CC merging to the A(CC=-5)3 state. The proton with the (EC,LC,CC) charge configuration of p(1,0,-5) is p(1,0) + A(CC=-5)3. The A(CC=-5)3 state has the 99.6% of the proton mass. The three quarks in p(1,0,-5) are asymptotically free in the EC and LC space of p(1,0) and are strongly confined in the CC space of A(CC=-5)3. This means that the lepton beams in the deep inelastic scattering interact with three quarks in p(1,0) by the EC interaction and weak interaction. Then, the observed spin is the partial spin of p(1,0) which is 32.6 % of the total spin (1/2) of the proton. The A(CC=-5)3 state has the 67.4 % of the proton spin. This explains the proton spin crisis. The EC charge distribution of the proton is the same to the EC charge distribution of p(1,0) which indicates that three quarks in p(1,0) are mostly near the proton surface. -
Hep-Th/9609099V1 11 Sep 1996 ⋆ † Eerhspotdi Atb O Rn DE-FG02-90ER40542
IASSNS 96/95 hep-th/9609099 September 1996 ⋆ Asymptotic Freedom Frank Wilczek† School of Natural Sciences Institute for Advanced Study Olden Lane Princeton, N.J. 08540 arXiv:hep-th/9609099v1 11 Sep 1996 ⋆ Lecture on receipt of the Dirac medal for 1994, October 1994. Research supported in part by DOE grant DE-FG02-90ER40542. [email protected] † ABSTRACT I discuss how the basic phenomenon of asymptotic freedom in QCD can be un- derstood in elementary physical terms. Similarly, I discuss how the long-predicted phenomenon of “gluonization of the proton” – recently spectacularly confirmed at HERA – is a rather direct manifestation of the physics of asymptotic freedom. I review the broader significance of asymptotic freedom in QCD in fundamental physics: how on the one hand it guides the interpretation and now even the design of experiments, and how on the other it makes possible a rational, quantitative theoretical approach to problems of unification and early universe cosmology. 2 I am very pleased to accept your award today. On this occasion I think it is appropriate to discuss with you the circle of ideas around asymptotic freedom. After a few remarks about its setting in intellectual history, I will begin by ex- plaining the physical origin of asymptotic freedom in QCD; then I will show how a recent, spectacular experimental observation – the ‘gluonization’ of the proton – both confirms and illuminates its essential nature; then I will discuss some of its broader implications for fundamental physics. It may be difficult for young people who missed experiencing it, or older people with fading memories, fully to imagine the intellectual atmosphere surrounding the strong interaction in the 1960s and early 1970s. -
Arxiv:2012.15102V2 [Hep-Ph] 13 May 2021 T > Tc
Confinement of Fermions in Tachyon Matter at Finite Temperature Adamu Issifu,1, ∗ Julio C.M. Rocha,1, y and Francisco A. Brito1, 2, z 1Departamento de F´ısica, Universidade Federal da Para´ıba, Caixa Postal 5008, 58051-970 Jo~aoPessoa, Para´ıba, Brazil 2Departamento de F´ısica, Universidade Federal de Campina Grande Caixa Postal 10071, 58429-900 Campina Grande, Para´ıba, Brazil We study a phenomenological model that mimics the characteristics of QCD theory at finite temperature. The model involves fermions coupled with a modified Abelian gauge field in a tachyon matter. It reproduces some important QCD features such as, confinement, deconfinement, chiral symmetry and quark-gluon-plasma (QGP) phase transitions. The study may shed light on both light and heavy quark potentials and their string tensions. Flux-tube and Cornell potentials are developed depending on the regime under consideration. Other confining properties such as scalar glueball mass, gluon mass, glueball-meson mixing states, gluon and chiral condensates are exploited as well. The study is focused on two possible regimes, the ultraviolet (UV) and the infrared (IR) regimes. I. INTRODUCTION Confinement of heavy quark states QQ¯ is an important subject in both theoretical and experimental study of high temperature QCD matter and quark-gluon-plasma phase (QGP) [1]. The production of heavy quarkonia such as the fundamental state ofcc ¯ in the Relativistic Heavy Iron Collider (RHIC) [2] and the Large Hadron Collider (LHC) [3] provides basics for the study of QGP. Lattice QCD simulations of quarkonium at finite temperature indicates that J= may persists even at T = 1:5Tc [4] i.e. -
Supersymmetric and Conformal Features of Hadron Physics
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 16 October 2018 doi:10.20944/preprints201810.0364.v1 Peer-reviewed version available at Universe 2018, 4, 120; doi:10.3390/universe4110120 Supersymmetric and Conformal Features of Hadron Physics Stanley J. Brodsky1;a 1SLAC National Accelerator Center, Stanford University Stanford, California Abstract. The QCD Lagrangian is based on quark and gluonic fields – not squarks nor gluinos. However, one can show that its hadronic eigensolutions conform to a repre- sentation of superconformal algebra, reflecting the underlying conformal symmetry of chiral QCD. The eigensolutions of superconformal algebra provide a unified Regge spec- troscopy of meson, baryon, and tetraquarks of the same parity and twist as equal-mass members of the same 4-plet representation with a universal Regge slope. The predictions from light-front holography and superconformal algebra can also be extended to mesons, baryons, and tetraquarks with strange, charm and bottom quarks. The pion qq¯ eigenstate has zero mass for mq = 0: A key tool is the remarkable observation of de Alfaro, Fubini, and Furlan (dAFF) which shows how a mass scale can appear in the Hamiltonian and the equations of motion while retaining the conformal symmetry of the action. When one applies the dAFF procedure to chiral QCD, a mass scale κ appears which determines universal Regge slopes, hadron masses in the absence of the Higgs coupling. One also 2 −Q2=4κ2 predicts the form of the nonperturbative QCD running coupling: αs(Q ) / e , in agreement with the effective charge determined from measurements of the Bjorken sum rule. One also obtains viable predictions for spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions. -
Asymptotic Freedom and Higher Derivative Gauge Theories Arxiv
Asymptotic freedom and higher derivative gauge theories M. Asoreya F. Falcetoa L. Rachwałb aCentro de Astropartículas y Física de Altas Energías, Departamento de Física Teórica Universidad de Zaragoza, C/ Pedro Cerbuna 12, E-50009 Zaragoza, Spain bDepartamento de Física – ICE, Universidade Federal de Juiz de Fora, Rua José Lourenço Kelmer, Campus Universitário, Juiz de Fora, 36036-900, MG, Brazil E-mail: [email protected], [email protected], [email protected] Abstract: The ultraviolet completion of gauge theories by higher derivative terms can dramatically change their behavior at high energies. The requirement of asymp- totic freedom imposes very stringent constraints that are only satisfied by a small family of higher derivative theories. If the number of derivatives is large enough (n > 4) the theory is strongly interacting both at extreme infrared and ultraviolet regimes whereas it remains asymptotically free for a low number of extra derivatives (n 6 4). In all cases the theory improves its ultraviolet behavior leading in some cases to ultraviolet finite theories with vanishing β-function. The usual consistency problems associated to the presence of extra ghosts in higher derivative theories may not harm asymptotically free theories because in that case the effective masses of such ghosts are running to infinity in the ultraviolet limit. Keywords: gauge theories, renormalization group, higher derivatives regulariza- tion, asymptotic freedom arXiv:2012.15693v3 [hep-th] 11 May 2021 1 Introduction Field theories with higher derivatives were first considered as covariant ultraviolet regularizations of gauge theories [1]-[3]. However, in the last years there is a renewed interest in these theories mainly due to the rediscovery that they provide a renormal- izable field theoretical framework for the quantization of gravity [4,5]. -
Thermodynamics of Generalizations of Quantum Chromodynamics
Fantastic Gauge Theories and Where to Find Them: Thermodynamics of Generalizations of Quantum Chromodynamics by Daniel C. Hackett B.A., University of Virginia, 2012 A thesis submitted to the Faculty of the Graduate School of the University of Colorado in partial fulfillment of the requirements for the degree of Doctor of Philosophy Department of Physics 2019 This thesis entitled: Fantastic Gauge Theories and Where to Find Them: Thermodynamics of Generalizations of Quantum Chromodynamics written by Daniel C. Hackett has been approved for the Department of Physics Prof. Thomas DeGrand Prof. Ethan Neil Prof. Anna Hasenfratz Prof. Paul Romatschke Prof. Markus Pflaum Date The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. iii Hackett, Daniel C. (Ph.D., Physics) Fantastic Gauge Theories and Where to Find Them: Thermodynamics of Generalizations of Quantum Chromodynamics Thesis directed by Prof. Thomas DeGrand Over the past few decades, lattice gauge theory has been successfully employed to study the finite-temperature phase structure of quantum chromodynamics (QCD), the theory of the strong force. While this endeavor is well-established, QCD is only one strongly-coupled quantum field theory in a larger family of similar theories. Using the lattice toolkit originally invented to investigate QCD, we have begun exploring the phase structures of these cousins of QCD. This thesis focuses on generalizations of QCD with multiple different species of fermions charged under distinct representations of the gauge group. I present the results of the first-ever lattice study of the thermodynamics of one such theory, as well as an analytic calculation which predicts the order of the phase transition for all such theories. -
Color Symmetry and Quark Confinement
COLOR SYMMETRY AND QUARK CONFINEMENT Proceedings of the TWELFTH�ENCONTRE DE MORIOND. I 2�. Flaine - Haute-Savoie (France) March 6-March 18, 1977 VOL III COLOR SYMMETRY AND QUARK CONFINEMENT edited by TRAN THANH VAN SPONSORED BY INSTITUT NATIONAL DE PHYSIQUE NUCLEAIRE • ET DE PHYSIQUE DES PARTICULES • COMMISSARIAT A L'ENERGIE ATOMIQUE 3 The " Color Symmetry and Quark Confinement ,, Session was organ ized by G. KANE and TRAN THANH VAN J. With the active collaboration of M. CHANOWITZ ...... ___, \. (/ Permanent SecrCtariat . Rencontre de Moriond Laboratoire de Physique Theoriquc B<."ttiment Universite de Paris-Sud 211 - ORSA Y (France) 91405 Tel. 941-73-72 - 941-73-66 4 FOREWORD The Xllth Rencontre de Moriond has devoted a two-day session to the problem of Color Symmetry and Quark Confinement. The talks given at that session are collected in this book with an added pedagogical introduction. It is hoped that this book will be useful to learn about color and how it can be tested experimentally. The review papers summarize the current situation at April-May 1977. I wish to thank all the contributors for the ir efforts in making the ir papers as pedagogical as possible. TRAN THANH VAN J. 5 CONTENTS G. KANE Pedagogi.cal introduction to color calculations 9 CHANOWITZ Color and experiments M. 25 O.W. GREENBERG Unbound color 51 J.D. JACK SON Hadronic wid ths in charmonium 75 J. KRIPFGANZ Parton mode l structure from a confining theory 89 C. �IGG Dilepton production in hadron-hadron collisions and .the "factor of three" from color 93 M. -
Basics of QCD for the LHC
Basics of QCD for the LHC Lecture I Fabio Maltoni Center for Particle Physics and Phenomenology (CP3) Université Catholique de Louvain 2011 School of High-Energy Physics 1 Fabio Maltoni Claims and Aims LHC is live and kicking!!!! There has been a number of key theoretical results recently in the quest of achieving the best possible predictions and description of events at the LHC. Perturbative QCD applications to LHC physics in conjunction with Monte Carlo developments are VERY active lines of theoretical research in particle phenomenology. In fact, new dimensions have been added to Theory ⇔ Experiment interactions 2011 School of High-Energy Physics 2 Fabio Maltoni Claims and Aims Five lectures: 1. Intro and QCD fundamentals 2. QCD in the final state basics 3. QCD in the initial state 4. From accurate QCD to useful QCD 5. Advanced QCD with applications at the LHC apps 2011 School of High-Energy Physics 3 Fabio Maltoni Claims and Aims • perspective: the big picture • concepts: QCD from high-Q2 to low-Q2, asymptotic freedom, infrared safety, factorization • tools & techniques: Fixed Order (FO) computations, Parton showers, Monte Carlo’s (MC) • recent progress: merging MC’s with FO, new jet algorithms • sample applications at the LHC: Drell-Yan, Higgs, Jets, BSM,... 2011 School of High-Energy Physics 4 Fabio Maltoni Claims and (your) Aims Think Ask Work Mathematica notebooks on a “simple” NLO calculation and other exercises on QCD applications to LHC phenomenology available on the MadGraph Wiki. http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/CernSchool2011 2011 School of High-Energy Physics 5 Fabio Maltoni Minimal References • Ellis, Stirling and Webber: The Pink Book • Excellent lectures on the archive by M. -
The Discovery of Asymptotic Freedom
The Discovery of Asymptotic Freedom The 2004 Nobel Prize in Physics, awarded to David Gross, Frank Wilczek, and David Politzer, recognizes the key discovery that explained how quarks, the elementary constituents of the atomic nucleus, are bound together to form protons and neutrons. In 1973, Gross and Wilczek, working at Princeton, and Politzer, working independently at Harvard, showed that the attraction between quarks grows weaker as the quarks approach one another more closely, and correspondingly that the attraction grows stronger as the quarks are separated. This discovery, known as “asymptotic freedom,” established quantum chromodynamics (QCD) as the correct theory of the strong nuclear force, one of the four fundamental forces in Nature. At the time of the discovery, Wilczek was a 21-year-old graduate student working under Gross’s supervision at Princeton, while Politzer was a 23-year-old graduate student at Harvard. Currently Gross is the Director of the Kavli Institute for Theoretical Physics at the University of California at Santa Barbara, and Wilczek is the Herman Feshbach Professor of Physics at MIT. Politzer is Professor of Theoretical Physics at Caltech; he joined the Caltech faculty in 1976. Of the four fundamental forces --- the others besides the strong nuclear force are electromagnetism, the weak nuclear force (responsible for the decay of radioactive nuclei), and gravitation --- the strong force was by far the most poorly understood in the early 1970s. It had been suggested in 1964 by Caltech physicist Murray Gell-Mann that protons and neutrons contain more elementary objects, which he called quarks. Yet isolated quarks are never seen, indicating that the quarks are permanently bound together by powerful nuclear forces. -
Advanced Information on the Nobel Prize in Physics, 5 October 2004
Advanced information on the Nobel Prize in Physics, 5 October 2004 Information Department, P.O. Box 50005, SE-104 05 Stockholm, Sweden Phone: +46 8 673 95 00, Fax: +46 8 15 56 70, E-mail: [email protected], Website: www.kva.se Asymptotic Freedom and Quantum ChromoDynamics: the Key to the Understanding of the Strong Nuclear Forces The Basic Forces in Nature We know of two fundamental forces on the macroscopic scale that we experience in daily life: the gravitational force that binds our solar system together and keeps us on earth, and the electromagnetic force between electrically charged objects. Both are mediated over a distance and the force is proportional to the inverse square of the distance between the objects. Isaac Newton described the gravitational force in his Principia in 1687, and in 1915 Albert Einstein (Nobel Prize, 1921 for the photoelectric effect) presented his General Theory of Relativity for the gravitational force, which generalized Newton’s theory. Einstein’s theory is perhaps the greatest achievement in the history of science and the most celebrated one. The laws for the electromagnetic force were formulated by James Clark Maxwell in 1873, also a great leap forward in human endeavour. With the advent of quantum mechanics in the first decades of the 20th century it was realized that the electromagnetic field, including light, is quantized and can be seen as a stream of particles, photons. In this picture, the electromagnetic force can be thought of as a bombardment of photons, as when one object is thrown to another to transmit a force. -
The Confinement Problem in Lattice Gauge Theory
The Confinement Problem in Lattice Gauge Theory J. Greensite 1,2 1Physics and Astronomy Department San Francisco State University San Francisco, CA 94132 USA 2Theory Group, Lawrence Berkeley National Laboratory Berkeley, CA 94720 USA February 1, 2008 Abstract I review investigations of the quark confinement mechanism that have been carried out in the framework of SU(N) lattice gauge theory. The special role of ZN center symmetry is emphasized. 1 Introduction When the quark model of hadrons was first introduced by Gell-Mann and Zweig in 1964, an obvious question was “where are the quarks?”. At the time, one could respond that the arXiv:hep-lat/0301023v2 5 Mar 2003 quark model was simply a useful scheme for classifying hadrons, and the notion of quarks as actual particles need not be taken seriously. But the absence of isolated quark states became a much more urgent issue with the successes of the quark-parton model, and the introduction, in 1972, of quantum chromodynamics as a fundamental theory of hadronic physics [1]. It was then necessary to suppose that, somehow or other, the dynamics of the gluon sector of QCD contrives to eliminate free quark states from the spectrum. Today almost no one seriously doubts that quantum chromodynamics confines quarks. Following many theoretical suggestions in the late 1970’s about how quark confinement might come about, it was finally the computer simulations of QCD, initiated by Creutz [2] in 1980, that persuaded most skeptics. Quark confinement is now an old and familiar idea, routinely incorporated into the standard model and all its proposed extensions, and the focus of particle phenomenology shifted long ago to other issues. -
Pos(LC2019)030
Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography Stanley J. Brodsky∗y PoS(LC2019)030 Stanford Linear Accelerator Center, Stanford University, Stanford, CA, 94309 E-mail: [email protected] I review applications of superconformal algebra, light-front holography, and an extended form of conformal symmetry to hadron spectroscopy and dynamics. QCD is not supersymmetrical in the traditional sense – the QCD Lagrangian is based on quark and gluonic fields – not squarks nor gluinos. However, its hadronic eigensolutions conform to a representation of superconfor- mal algebra, reflecting the underlying conformal symmetry of chiral QCD. The eigensolutions of superconformal algebra provide a unified Regge spectroscopy of meson, baryon, and tetraquarks of the same parity and twist as equal-mass members of the same 4-plet representation with a universal Regge slope. The pion qq¯ eigenstate is composite but yet has zero mass for mq = 0: Light-Front Holography also predicts the form of the nonperturbative QCD running coupling: 2 2 2 as(Q ) ∝ exp Q =4k , in agreement with the effective charge determined from measurements − of the Bjorken sum rule. One also obtains viable predictions for tests of hadron dynamics such as spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions. The combined approach of light-front holography and su- perconformal algebra also provides insight into the origin of the QCD mass scale and color con- finement. A key tool is the dAFF principle which shows how a mass scale can appear in the Hamiltonian and the equations of motion while retaining the conformal symmetry of the action.