Hadron Structure Proceedings Smolenice Czechoslovakia Physics and щ! Applications jjp^ Vol. 14 1 Hadron Structure '87 Proceedings Smolenice Czechoslovakia November 16-20, 1987 Physics and Applications Vol. 14 Present volume of Physics and Appli­ cations contains most of the contribu­ tions delivered at the 1987 Hadron Struc­ ture Conference held in Smolenice, Cze­ choslovakia. The conference was de­ voted mainly to the nonperturbative i methods in QCD, to the theory and experiment of high energy particle pro­ duction and to the hadron-nucleus and heavy ion collisions. The book is of interest to scientists wor­ king in the subnuclear physics research and to the senior research students. 7 С1Я23А%ЪЛ*~ЯЪ** INSTITUTE OF PHYSICS EPRC Slovak Academy of Sciences Slovak Academy of Sciences Institute of Physics of the Electro-Physical Research Centre Scientific Editor Š. Luby Distributed by: Institute of Physics EPRC SASc. 842 28 Bratislava Czechoslovakia Hadr on Structure '87 Proceedings of the Conference Smolenice November 16—20,1987 Physics and Applications Vol. 14 Edited by D. Krupa INSTITUTE OF PHYSICS EPRC Slovak Academy of Sciences Bratislava 1988 % ' © Institute of Physics, EPRC, Slovak Academy of Sciences, 1988 Contents Lectures W.Kummer: Status of Noncovariant Supergauges II C.Cronstrom: Rcgularization of the Yang-Mills Action and Energy *** P .Hnsrnfrntz : Sin^i'lir Kcnormal i znt ion Group Transformation *** G.Tripiccione: Mass Spectrum of Glueballs in Lattice SU(3) QCD *** J.Greensitc: Computer Measurements of the Yang-Mills Vacuum and String Havefunctionals 25 M.Campostrini: Monte Carlo Studies of Lattice QCD with Dynamical Quarks *** H.-C.Pauli: Discretized Light-Cone Quantization .... *** C.M.Bender: Nonperturbative Perturbation Theory .... 40 A.V.Turbiner: Quasi-Exactly-Solvable Problem"- in Quantum Mechanics 51 i e "To L.Ramello: Results on 0- and S- Nucleus Collisions from the HELIOS Collaboration 60 I.Derado: Results on Hadron Production in O+Au at 200 GeV/Nucleon from NA35 Experiment *** R.Haroutunian: Results on 3/f- Production in 0-U Interactions at 200 GeV/Nucleon from the NA38 Experiment *** N.N.Nikolaev: Matter and Energy Density in Central Heavy Ion Collisions *** N.Pišútová, J.Plšút: Space-Time Evolution of Proton- Proton, Proton-Nucleus and Nucleus-Nucleus Collisions and the Dilepton Production .... 70 S.Yu.Shmakov. V.V.Uzhinskii: New Realization of the Hadron-Hadron, Hadron-Nucleus and Nucleus- Nucleus Fragmentation Model 85 E.M.Levin, M.G.Ryskin: Hadron Interactions at High Energy in QCD 95 A.Bialas: Oscillations оГ the Qunrk-Gluon-Plasmn .... *** П.В.Levchonfco: Correlation Phenomena in Particle Production on Nuclei lie M.Kutchera: Particle Production in Ultrorclativis tic Proton-Proton and Proton-Nucleus Collisions in a Parton String Model 123 A.V.Efremov: Nuclear Structure Functions and Cumulative Processes 133 (i.Eckcr: Non-Leptonic Weak Interactions in Chiral Perturbation Theory 145 Short Communications V.K.Petrov. G.M.Zinoviev: Deconfincment Analysis in Exactly Solvable Model for Lattice QCD .... 158 C.B.Lang, M.Salmhofer: Optimization of Renormalization Group Transformations 166 M.L.Laurscn, M.Miiller-Preussker: Monopole Excitations in the 3D Gcorgi-Glushow Model on Lattice. , . 171 M.Faber, IV.Feilmajr. H.Markům: Quark-Polarization Effects from Dynamical Quarks 175 J.Wosiek: On the Space Structure of Confining Strings. *** S.G.Gorishny, A.L.Kataev. S.A.Larin: Next-Next-to- Leading 0(ots ) QCD Correlations to T. (e+e *Hadrons): Analytical Calculations and Estimation оГ the Parameter Л гт-„ ,8° MS F.Schoberl: Influence of Strong Interactions on Electromasuetic Mass Differences I92 L.Turko: Condensation of Hadronic Matter 198 Z.Fodor: Infrared AFymptotics of the Quark Propagator in Gauge Theories 202 G.V.Efimov, M.A.Ivanov: Confinement and Quark Structure of Hadrons 210 P.Kolář: The QCD Sum Rules, their Validity and Applicability 218 M.Schepkin: Masses of High Spin Hadrons 223 A.N.Ivanov: Physics оГ Low Energy Hadronic Interactions in the Quark Model оГ Supercoductivity Type. *** M.Nagy. M.K.Volkov; Decay of Gluonium in the Gene­ ralized Quark Model of Superconductivity Type 235 H.J.Kaiser, K.Scharnhorst, E.Wieczorek: Yang-Mills Propagators in Background Fields 239 V.V.Bazhanov: Critical Exactly Solvable Models and Conformal Field Theory 244 J.Dittrich, P.Exner: A Non-Relativistic Model of Two- Particle Decoy: Resonance and Bound States • . 247 M.Zno.Ul. M.F.Fiyin, R.F.Bishop: The Triple Problem of Convergence in the Perturbation Expan­ sions with Non-Diagonal Propagators 252 M.Blažek: Remarks on Angular Distributions of Muon Pairs in High Energy Hadronic Collisions . 257 V.zimák. M.šumbera, I.Zborovský: Entropy in the Multiparticle Production ..... 264 M.Plutner. S.Raha, R.M.Weiner: Cohrernce, Chaos and Entropy Scaling in High Energy Collisions . 272 P.Malecki: Long-Range Correlations in Hadron-Nucleus Interactions 278 J.Ftáčnik: Transverse Energy Distribution in Hadron- Nucleus and Nucleus-Nucleus Collisions 284 O.Pavlenko: Quark-Hadron Phase Transition in High Energy Hadronic and Nuclear Collisions *** P.Závada: Nuclear Response and Hadron Formation Length • in Hadron-Nucleus Interactions *** B.Rsman: Charged Particle Multiplicity Distributions at 200 GeV and 900 GeV 289 W.Lohman: New Results on Proton Structure Functions from Deep Inelastic Muon Scattering at High Q2 294 D.Křupa. V.A.Mashcheryakov, Yu.S.Surovtsev: Scalar Glueball Indication in Pion Scattering .... 299 D.S.Bngdasarynn, G.B.Kazaryan, H.G.Mkrtchyan, I.A.Troshcnkova: Investigation of (e,e') Scattering on Electron Synchrotron at Yerevan Physics Institute 305 V.Kundrát. M.Lokaj íček, D.Křupa: High Energy Hadron Scattering in Forward Direction ЗЮ IV.Grimus: A Model of Massive Neutrinos with a Conservrd Lepton Number ... 3 i 7 H.Neufeld: Spontaneous CP Violation and Neutral Flavour Conservation in SUU^xUd)1 324 ll.Perlt: String Thermodynamics and Cosmology *** K.Lewin, G.B.Motz: On Quark Masses in (QQ) Potential Models 320 M."haichian, J.Fischer: Unitarity Bounds for High Energy Scattering in Many Dimensions 334 J.Szwed: The Square Root of the Dirac Equation within Supersynmetry ..... *** A.R.Kereseiidze, A.G.Liparteliaoi, G.G.Volkov: Superstring Inspired Left-Right Models .... 339 P.Miibius: Nonlinear Field Equations and Infinite Dimensional Lie Algebras ........... 342 H.Pcrez-Ro.ias. R.Gonzáles: Phase Transitions of W-Condensation in the Hot Universe 350 I.Lukác: On the Geometry of Group Space of Group of Motion of Three-Dimensionnl Quadratic Form . 357 M.Bonesini: Prompt Gamma Physics: New Experimental Results - 362 Author Index 369 List of Participants 371 *** Oral presentation only. The names of speakers are underlined. Preface It became a good tradition that Czechoslovak physicists interested in elementary particle physics meet together with their colleagues from abroad at the lladron Structure confe­ rences evry year. The present book represents the proceedings of the Hadron Structure '87 conference whirh was held in Smolenice Castle near Bratislava on November 16-20, this year The programme of the conference consisted of lectures and short communications. The main topics covered were: - nonperturbative calculations in field theory ( QCD in Particular ) - Particle production in hadron-nucleus and nucleus- nucleus collisions and the quark-gluon plasma - recent experimental results. The arrangement of papers follows closely chronology of talks us they were presented at the conference with the exception that lectures (presented during morning sessions) and short communications arc grouped together separately. ГП the coiiLv«.iL:s wc list all papers presented at the conference specifying those which were not made available for publication in the present volume. The editors would like to th&nk all authors submitting their papers for printing in the camera ready form. V»e are also grateful to the Vela Publishing Ho'ise for their interest to Publish this proceedings and for their assistance. F.d i tor STATUS OF NONCOVARIANT SUPERGAUGES* (Lecture at "Hadron Structure 1987" , 16. - 20,11.1987, Smolenice, CSSR) W. KUMMER Institut fur Theoretische Physik der Technischen Univereitat Wien Abstract» Supersynunetric gauge theories can be suitably quantized in non- supersymmetric gauges without abolishing the advantages of supergraph techniques. The state of the art now encompasses the proof of renormalization and of gauge-independence and super- symmetry for observable physical quantities. Karlsplatz 13, A-1040 Wien Supported by "Ponds zur wissenschaftlichen Forschung", Proj. Nr. 5485 It 1 • Introduction The general superfield treatment of renormalization problem in eupersymmetric gauge-theories £lj cannot evade the choice of a gauge which breaks super symmetry, at least softly Q2]. This suggests the study of general noncovariant supergaugee which, on the other hand, allow the inclusion of celebrated gauges like the Wess-Zumino gauge [3,4,5^ in a supergraph formalism. 2. Gauge-Superfield and Notation The ordinary gauge-field v in supersymmetry becomes a component of a hermitian superfield [6/73 V = V (2.1) which contains powers of the Lorentz 2-spinor Grassmann-varia- bles eQ and ?• (a, & =1,2). The basic anticommutatór for the Bplnor charges Q< and Q^ in supersymmetry reads (Pm is the generator of the translations) (2.2) Supereymmetric covarlant derivatives ( ^a УлВ* ' anticommute with QK and 5* , but obey the same relation (2.2) with Pm„ = 1Эm . The supergraph-renormalization problem [2] is a consequence of the (mass-) dimension zero of V which in turn follows from 12 the dimension 1 of the vector-fiold v_ and from the dimension 1 m - •£ for e. The scalar component of V has dimension zero too and, for purely dimensional reasons, the c-propagator must bo- have like 1/k . Thus a now type of infrared (IR) divergence appears, except the "unphysical" components of V are fixed appropriately. Only vm and one spinor-field are physical de­ grees of freedom. Fixing the gauge in a way which does not break supersymmetry will not provide a solution of this problem. Sufficient for such a solution is the choice of the Wess-Zumino gauge [ij which eliminates all fields except v, \ and £) Such a gauge clearly breaks supersymmetry.