Perturbative quantum electrodynamics and axiomatic field theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2000
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Schriftenreihe: | Texts and monographs in physics
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | IX, 355 S. graph. Darst. |
ISBN: | 3540670246 |
Internformat
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Datensatz im Suchindex
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adam_text | OTHMAR STEINMANN PERTURBATIVE QUANTUM ELECTRODYNAMICS AND AXIOMATIC
FIELD THEORY WITH 37 FIGURES SPRINGER CONTENTS 1 INTRODUCTION PART I
WHAT IS QUANTUM ELECTRODYNAMICS? 2 RELATIVISTIC COVARIANCE 7 2.1 THE
LORENTZ GROUP 7 2.2 REPRESENTATIONS 9 2.3 COVARIANT FIELDS 16 3
ELECTRODYNAMICS AS A CLASSICAL FIELD THEORY 19 4 THE BASIC PRINCIPLES OF
RELATIVISTIC QUANTUM FIELD THEORY 25 4.1 THE WIGHTMAN AXIOMS 25 4.2 THE
WIGHTMAN FUNCTIONS 32 5 FREE FIELDS 39 5.1 THE HERMITIAN SCALAR FIELD 39
RELATION TO THE CANONICAL FORMALISM 45 5.2 DIRAC SPINORS 47 5.3 THE
ELECTROMAGNETIC FIELD 53 5.4 THE FUNCTIONS A+, D+, AND RELATED FUNCTIONS
61 6 AN OUTLINE OF INTERACTING QED 67 6.1 GENERAL DESCRIPTION 67 6.2
SOLVING THE FIELD EQUATIONS 73 6.3 RENORMALIZATION AND THE UV PROBLEM 75
7 THE ELECTRIC CHARGES 85 VIII CONTENTS PART II PERTURBATION THEORY 8
THE PROGRAM OF PERTURBATION THEORY 95 8.1 THE PROBLEM 95 (A) EQUATIONS
OF MOTION 95 (B) W-PROPERTIES 97 (C) RENORMALIZATION CONDITIONS 97 8.2
PERTURBATION THEORY 98 8.3 UNIQUENESS 100 8.4 TIME-ORDERED PRODUCTS 103
9 UNRENORMALIZED SOLUTION 109 9.1 GENERALITIES 109 9.2 SPECIAL EXAMPLES
IN LOW ORDERS 110 9.3 THE GENERAL SOLUTION 115 CONFIGURATION SPACE 115
MOMENTUM SPACE 120 9.4 VERIFICATIONS 123 9.5 CURRENT CONSERVATION AND
THE CHARGE IDENTITY 131 10 RENORMALIZATION AND THE UV PROBLEM 135 10.1
LOW ORDERS 135 THE PHOTON 2-POINT FUNCTION 135 THE ELECTRON 2-POINT
FUNCTION 142 THE VERTEX FUNCTION 147 10.2 THE GENERAL CASE 151 10.3
RENORMALIZATION IN CONFIGURATION SPACE 156 11 THE IR PROBLEM FOR
WIGHTMAN FUNCTIONS 165 11.1 THE PROBLEM 165 11.2 THE SOLUTION 167 11.3
THE W-PROPERTIES AND OTHER CONDITIONS 176 THE W-PROPERTIES 176 THE
CHARGE IDENTITY 178 SMOOTHNESS CONDITIONS 180 12 PHYSICAL STATES 187
12.1 THE GENERAL STRATEGY 187 12.2 UNRENORMALIZED PERTURBATION THEORY
192 12.3 THE UV PROBLEM 197 12.4 THE IR PROBLEM AND THE FINAL
VERIFICATIONS 201 CONTENTS IX PART III PARTICLES AND THEIR REACTIONS 13
THE STANDARD VIEW 213 13.1 MASSIVE THEORIES 214 13.2 THE IR PROBLEM 217
14 PARTICLE PROBES 221 14.1 MATHEMATICAL PRELIMINARIES 222 14.2 FREE
PARTICLES 229 15 INTERACTING PARTICLES 239 15.1 PROBES FOR INTERACTING
PARTICLES 239 15.2 IR CANCELLATIONS 246 PROOF OF LEMMA 15.4 259 PROOF OF
THEOREMS 15.1-3 265 15.3 PHOTONS 272 DERIVATION OF THE DECOMPOSITION
(15.87) 276 16 REACTIONS 283 16.1 MASSIVE SCALAR FIELDS 283 16.2
REACTIONS IN QED 296 16.3 PHOTONS 300 16.4 ELECTRONS 304 17 CROSS
SECTIONS 321 17.1 CROSS SECTIONS: THE PROBLEM 321 17.2 A SOLUTION 330
17.3 COMPTON SCATTERING, AN EXAMPLE 336 REFERENCES 347 INDEX 351
|
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indexdate | 2024-07-09T18:40:07Z |
institution | BVB |
isbn | 3540670246 |
language | English |
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oclc_num | 247740445 |
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physical | IX, 355 S. graph. Darst. |
publishDate | 2000 |
publishDateSearch | 2000 |
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publisher | Springer |
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series2 | Texts and monographs in physics |
spelling | Steinmann, Othmar Verfasser aut Perturbative quantum electrodynamics and axiomatic field theory Othmar Steinmann Berlin [u.a.] Springer 2000 IX, 355 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Quantenelektrodynamik - Störungstheorie - Relativistische Quantenfeldtheorie Perturbation (Quantum dynamics) Quantum electrodynamics Quantum field theory Quantenelektrodynamik (DE-588)4047982-1 gnd rswk-swf Quantenelektrodynamik (DE-588)4047982-1 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008968914&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Steinmann, Othmar Perturbative quantum electrodynamics and axiomatic field theory Quantenelektrodynamik - Störungstheorie - Relativistische Quantenfeldtheorie Perturbation (Quantum dynamics) Quantum electrodynamics Quantum field theory Quantenelektrodynamik (DE-588)4047982-1 gnd |
subject_GND | (DE-588)4047982-1 |
title | Perturbative quantum electrodynamics and axiomatic field theory |
title_auth | Perturbative quantum electrodynamics and axiomatic field theory |
title_exact_search | Perturbative quantum electrodynamics and axiomatic field theory |
title_full | Perturbative quantum electrodynamics and axiomatic field theory Othmar Steinmann |
title_fullStr | Perturbative quantum electrodynamics and axiomatic field theory Othmar Steinmann |
title_full_unstemmed | Perturbative quantum electrodynamics and axiomatic field theory Othmar Steinmann |
title_short | Perturbative quantum electrodynamics and axiomatic field theory |
title_sort | perturbative quantum electrodynamics and axiomatic field theory |
topic | Quantenelektrodynamik - Störungstheorie - Relativistische Quantenfeldtheorie Perturbation (Quantum dynamics) Quantum electrodynamics Quantum field theory Quantenelektrodynamik (DE-588)4047982-1 gnd |
topic_facet | Quantenelektrodynamik - Störungstheorie - Relativistische Quantenfeldtheorie Perturbation (Quantum dynamics) Quantum electrodynamics Quantum field theory Quantenelektrodynamik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008968914&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT steinmannothmar perturbativequantumelectrodynamicsandaxiomaticfieldtheory |