Field theoretical tools for polymer and particle physics

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Veröffentlicht: Berlin [u.a.] Springer 1998
Schriftenreihe:Lecture notes in physics 508
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Datensatz im Suchindex

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adam_text HILDEGARD MEYER-ORTMANNS ANDREAS KLUEMPER (EDS.) FIELD THEORETICAL TOOLS FOR POLYMER AND PARTICLE PHYSICS R M SPRINGER ~ FF 4VR J CONTENTS RANDOM WALKS IN POLYMER PHYSICS ERICH EISENRIEGLER 1 1 INTRODUCTION 1 2 MODELLING A POLYMER CHAIN IN A GOOD SOLVENT AND RELATION TO FIELD THEORY 2 3 THE UNIVERSAL SCALING BEHAVIOR OF A LONG POLYMER CHAIN 8 4 POLYMERS INTERACTING WITH BOUNDARIES 11 5 PLANAR BOUNDARY AND DENSITY-FORCE RELATIONS 11 6 SPHERICAL AND CYLINDRICAL PARTICLES AND EXPANSION FOR SMALL RADIUS 14 7 SUMMARY 20 A DENSITY-FORCE AMPLITUDE IN D = 2 20 RANDOM WALKS IN FIELD THEORY ANDREAS PORDT 25 1 INTRODUCTION AND DEFINITION OF A RANDOM WALK MODEL 25 2 CLASSIFICATION OF RANDOM WALK MODELS 27 3 EUCLIDEAN LATTICE FIELD THEORY 29 4 GAUSSIAN MODEL AND SIMPLE RANDOM WALKS 30 5 RANDOM WALK REPRESENTATION AND EUCLIDEAN FIELD THEORY . . . . 32 6 SYMANZIK S COMPLETE POLYMER REPRESENTATION 34 7 INEQUALITIES 36 8 TRIVIALITY 38 POLYMER EXPANSION IN PARTICLE PHYSICS ANDREAS PORDT 45 1 INTRODUCTION AND DEFMITIONS 45 2 EXAMPLES 48 2.1 HIGH TEMPERATURE EXPANSION, ISING MODEL 48 2.2 LOW TEMPERATURE EXPANSION, CONTOUR EXPANSION 49 2.3 AT-COMPONENT LATTICE FIELD THEORY 50 2.4 LATTICE GAUGE FIELD THEORY 52 2.5 RANDOM WALKS 54 X 2.6 MONOMER-DIMER SYSTEM, POLYMER SYSTEMS 55 3 EXPONENTIAL FUNCTION AND POLYMER REPRESENTATION 55 4 KIRKWOOD-SALSBURG AND MAYER-MONTROLL EQUATIONS 57 5 CLUSTER EXPANSION FORMULA 58 6 CONVERGENCE CRITERIA 59 7 POLYMER EXPANSIONS FOR GREEN FUNCTIONS AND EXPECTATION VALUES 60 8 THERMODYNAMIC LIMIT 64 POLYMERS, SPIN MODELS AND FIELD THEORY BO SOEDERBERG 68 1 INTRODUCTION 68 2 IDEALIZED REPRESENTATIONS OF FREE POLYMERS 68 2.1 REALISTIC MODEL 68 2.2 CONTINUOUS MODEL 69 2.3 LATTICE MODEL 70 3 INTERACTING WALKS AND SPIN MODELS 70 3.1 MODIFIED WALK ENSEMBLE 70 3.2 RELATION TO A SPIN MODEL 70 4 INTERACTING CONTINUOUS POLYMERS AND FIELD THEORIES 71 4.1 GENERIC INTERACTING POLYMER 71 4.2 THE RELATION TO A FIELD THEORY 72 4.3 EXAMPLE 1: CONTACT INTERACTION 74 4.4 EXAMPLE 2: THE POLYELECTROLYTE 74 5 RELATION IN TERMS OF PERTURBATION THEORY 75 6 CONCLUSIONS 77 REACTION-DIFFUSION MECHANISMS AND QUANTUM SPIN SYSTEMS GUNTER M. SCHUETZ 78 1 CLASSICAL STOCHASTIC MANY-BODY DYNAMICS IN THE QUANTUM HAMILTONIAN FORMALISM 78 1.1 THE MASTER EQUATION 79 1.2 MANY-BODY SYSTEMS 83 1.3 STATIONARY STATES 85 2 DIFFUSION OF HARD-CORE PARTICLES 85 3 COARSENING AND DOMAIN GROWTH 90 3.1 GLAUBER DYNAMICS FOR THE ISING MODEL AND THE VOTER MODEL 90 3.2 ORDER/DISORDER COMPETITION: A SIMPLE BIOLOGICAL MODEL . . 92 3.3 DIFFUSION-LIMITED ANNIHILATION REVISITED 93 4 EXPERIMENTAL REALIZATIONS OF INTEGRABLE REACTION-DIFFUSION SYSTEMS 95 4.1 GEL-ELECTROPHORESIS OF DNA 95 4.2 KINETICS OF BIOPOLYMERIZATION 97 4.3 EXCITON DYNAMICS ON POLYMER CHAMS 99 5 CONCLUSIONS 100 XI BOSONIZATION IN PARTICLE PHYSICS DIETMAR EBERT 103 1 INTRODUCTION 103 2 NJL MODEL AND A MODEL 106 2.1 LINEAR A MODEL 106 2.2 NONLINEAR A MODEL 110 3 CONCLUSIONS AND OUTLOOK 112 HADRONIZATION IN PARTICLE PHYSICS DIETMAR EBERT 115 1 INTRODUCTION 115 2 HADRONIZATION OF A QUARK-DIQUARK TOY MODEL 115 3 FURTHER EXTENSIONS 118 3.1 HEAVY BARYONS WITH SCALAR AND AXIAL-VECTOR DIQUARKS . . . . 118 3.2 COMPOSITE DIQUARKS 119 THE HYBRID MONTE CARLO ALGORITHM FOR QUANTUM CHROMODYNAMICS THOMAS LIPPERT 122 1 INTRODUCTION 122 2 ELEMENTS OF LATTICE QCD 124 3 HYBRID MONTE CARLO 126 3.1 0{V) ALGORITHMS FOR FUELL QCD 126 3.2 HYBRID MONTE CARLO: QUENCHED CASE 127 3.3 INCLUDING DYNAMICAL (WILSON) FERMIONS 129 3.4 NUMERICAL INTEGRATION AND IMPROVEMENTS 130 4 EFFICIENCY AND SCALING 131 THE HYBRID MONTE CARLO METHOD FOR POLYMER CHAINS ANDERS IRBAECK 133 1 INTRODUCTION 133 2 THE MODELS 134 3 HMC 136 4 FOURIER ACCELERATION 136 5 NUMERICAL TESTS 138 SIMULATIONS OF TOY PROTEINS ANDERS IRBAECK 143 1 INTRODUCTION 143 2 THE MODELS AND THE ALGORITHM 144 3 GOOD FOLDING SEQUENCES 146 4 NONRANDOM HYDROPHOBICITY PATTERNS 148 XII 5 LOCAL INTERACTIONS 150 6 SUMMARY 152 TWO LECTURES ON PHASE MIXING: NUCLEATION AND SYMMETRY RESTORATION MARCELO GLEISER 155 1 HOMOGENEOUS NUCLEATION 155 2 NONPERTURBATIVE CORRECTIONS TO DECAY RATES 158 2.1 MODELING NONPERTURBATIVE FLUCTUATIONS: SYMMETRY RESTORATION AND PHASE MIXING 159 2.2 MODELING NONPERTURBATIVE FLUCTUATIONS: INHOMOGENEOUS NUCLEATION 164 3 MATCHING NUMERICAL SIMULATIONS TO CONTINUUM FIELD THEORIES . . 166 NEURAL NETWORKS AND CONFLDENCE LIMIT ESTIMATES BERND A. BERG AND ION-OLIMPIUSTAMATESCU 173 1 VIEWS AND FEATURES OF NEURAL NETWORKS 173 2 THE MODELING PROBLEM FOR NEURAL NETWORKS 175 2.1 ARCHITECTURE 176 2.2 FUNCTIONING 177 2.3 LEARNING 178 3 THE PHYSICS OF NEURAL NETWORKS 180 4 MULTILAYER PERCEPTRONS AND DATA ANALYSIS 183 5 FROM MLP OUTPUT TO CONFIDENCE LIMITS 186 5.1 GENERALIZED CLOPPER-PEARSON APPROACH 187 5.2 SIGNAL PROBABILITY DISTRIBUTIONS 188 6 CONCLUSIONS 190 THE GROSS-NEVEU MODEL AND QCDS CHIRAL PHASE TRANSITION THOMAS REISZ 192 1 INTRODUCTION - QCD AND THE CHIRAL PHASE TRANSITION 192 1.1 TWO-FLAVOUR QCD 194 1.2 WHY STUDYING THE GROSS-NEVEU MODEL? 196 2 THE 3-DIMENSIONAL GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE 197 2.1 THE MODEL 197 2.2 MANY FLAVOURS. THE LARGE N EXPANSION 201 2.3 PHASE STRUCTURE IN THE N = OO LIMIT 205 2.4 WHAT HAPPENS FOR FINITE N? 207 3 DIMENSIONAL REDUCTION IN QUANTUM FIELD THEORY 208 3.1 A SHORT SURVEY OF DIMENSIONAL REDUCTION 209 3.2 APPLICATION TO THE THREE-DIMENSIONAL GROSS-NEVEU MODEL AT FINITE TEMPERATURE 214 XIII 4 PHASE TRANSITION FOR FINITE NUMBER OF FLAVOURS N 215 4.1 CONVERGENT SERIES EXPANSION - LCE 218 4.2 THE NATURE OF THE PARITY TRANSITION 224 5 SUMMARY 226 THE TBA, THE GROSS-NEVEU MODEL, AND POLYACETYLENE ALANCHODOS AND HISAKAZU MINAKATA 231 SOLITONS IN POLYACETYLENE SIEGMAR ROTH 240 1 INTRODUCTION 240 2 CONJUGATED POLYMERS 242 3 SOLITONS AND CONDUCTIVITY 243 4 SOLITONS: OPTICAL FINGERPRINTS 247 5 METAL-INSULATOR TRANSITION 248 6 PARTICLES AND ANTIPARTICLES, SPIN-CHARGE INVERSION, FRACTIONAL CHARGES 250 7 POLARONS, CONFMEMENT 252 8 TECHNICAL APPLICATIONS OF CONDUCTING POLYMERS 256
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spelling Field theoretical tools for polymer and particle physics Hildegard Meyer-Ortmanns ... (Eds.)
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Lecture notes in physics 508
Física geral larpcal
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Polymères - Modèles mathématiques
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Particles (Nuclear physics) Mathematical models
Polymers Mathematical models
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Polymere (DE-588)4046699-1 gnd rswk-swf
Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf
Elementarteilchenphysik (DE-588)4014414-8 gnd rswk-swf
Physik (DE-588)4045956-1 gnd rswk-swf
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spellingShingle Field theoretical tools for polymer and particle physics
Lecture notes in physics
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Elementarteilchenphysik (DE-588)4014414-8 gnd
Physik (DE-588)4045956-1 gnd
subject_GND (DE-588)4016698-3
(DE-588)4046699-1
(DE-588)4047984-5
(DE-588)4014414-8
(DE-588)4045956-1
(DE-588)1071861417
title Field theoretical tools for polymer and particle physics
title_auth Field theoretical tools for polymer and particle physics
title_exact_search Field theoretical tools for polymer and particle physics
title_full Field theoretical tools for polymer and particle physics Hildegard Meyer-Ortmanns ... (Eds.)
title_fullStr Field theoretical tools for polymer and particle physics Hildegard Meyer-Ortmanns ... (Eds.)
title_full_unstemmed Field theoretical tools for polymer and particle physics Hildegard Meyer-Ortmanns ... (Eds.)
title_short Field theoretical tools for polymer and particle physics
title_sort field theoretical tools for polymer and particle physics
topic Física geral larpcal
Particules (Physique nucléaire) - Modèles mathématiques
Polymères - Modèles mathématiques
Mathematisches Modell
Particles (Nuclear physics) Mathematical models
Polymers Mathematical models
Feldtheorie (DE-588)4016698-3 gnd
Polymere (DE-588)4046699-1 gnd
Quantenfeldtheorie (DE-588)4047984-5 gnd
Elementarteilchenphysik (DE-588)4014414-8 gnd
Physik (DE-588)4045956-1 gnd
topic_facet Física geral
Particules (Physique nucléaire) - Modèles mathématiques
Polymères - Modèles mathématiques
Mathematisches Modell
Particles (Nuclear physics) Mathematical models
Polymers Mathematical models
Feldtheorie
Polymere
Quantenfeldtheorie
Elementarteilchenphysik
Physik
Konferenzschrift 1997 Wuppertal
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007968226&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000003166
work_keys_str_mv AT meyerortmannshildegard fieldtheoreticaltoolsforpolymerandparticlephysics
AT workshoponfieldtheoreticaltoolsforpolymerandparticlephysicswuppertal fieldtheoreticaltoolsforpolymerandparticlephysics