Lectures on classical and quantum theory of fields:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2010
|
| Ausgabe: | 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | IX, 351 S. graph. Darst. |
| ISBN: | 9783642156236 9783642156243 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
1 .1 EXAMPLE A: SINUS-GORDON EFFECTIVE FIELD 1
1.2 EXAMPLE B: THE ELECTROMAGNETIC FIELD 7
1.3 SOLUTIONS OF THE KLEIN-GORDON EQUATION 12
EXERCISES 17
2 THE EULER-LAGRANGE EQUATIONS AND NOETHER'S THEOREM 19 2.1 THE
EULER-LAGRANGE EQUATIONS 19
2.2 NOETHER'S THEOREM 24
EXERCISES 30
3 SCALAR FIELDS 33
3.1 THE LORENTZ AND POINCARE GROUPS 33
3.2 THE REAL SCALAR FIELD 38
3.3 THE COMPLEX SCALAR FIELD 49
EXERCISES 60
4 VECTOR FIELDS 63
4.1 THE ABELIAN GAUGE FIELD 64
4.2 NON-ABELIAN GAUGE FIELDS 71
4.3 THE HIGGS MECHANISM AND A MASSIVE VECTOR FIELD 80
EXERCISES 83
5 RELATIV ISTIC SPINOR FIELDS 87
5.1 THE DIRAC EQUATION, SPIN(4) AND SL(2,C) GROUPS 87
5.2 THE DIRAC FIELD 94
5.3 THE WEYL FIELDS 96
5.4 THE MAJORANA FIELD 102
EXERCISES 106
6 THE QUANTUM THEORY OF FREE FIELDS 109
6.1 THE REAL SCALAR FIELD 110
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1005454116
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
6.2 THE DIRAC FIELD 129
6.3 THE ELECTROMAGNETIC FIELD 142
EXERCISES 147
PERTURBATIVE EXPANSION IN THE OE MODEL 151
7.1 THE GELL-MANN-LOW FORMULA 152
7.2 THE GENERATING FUNCTIONAL FOR GREEN'S FUNCTIONS: WICK FORMULA. 161
7.3 FEYNMAN DIAGRAMS IN MOMENTUM SPACE 166
EXERCISES 176
RENORMALIZATION 181
8. 1 ULTRAVIOLET DIVERGENCES 182
8.2 THE EXAMPLE 188
8.3 BPHZ SUBTRACTIONS 195
8.4 RENORMALIZATION OF THE 2-POINT GREEN'S FUNCTION 198
8.5 THE MULTIPLICATIVE RENORMALIZATION 203
EXERCISES 206
RENORMALIZATION GROUP 211
9.1 RENORMALIZATION GROUP EQUATIONS 211
9.2 THE RUNNING COUPLING CONSTANT 218
9.3 DIMENSIONAL TRANSMUTATION 223
EXERCISES 224
10 RELATIVISTIC INVARIANCE AND THE SPECTRAL DECOMPOSITION OF G^ 227 10.1
RELATIVISTIC INVARIANCE IN QFT 228
10.2 THE SPECTRAL DECOMPOSITION OF G (2) 241
10.3 THE CONTRIBUTION OF THE SINGLE PARTICLE SECTOR 246
10.4 THE POLE OF THE PERTURBATIVE G (2) 251
EXERCISES 253
11 PATHS INTEGRALS IN QFT 255
11.1 PATH INTEGRALS IN QUANTUM MECHANICS 255
11.2 PATH INTEGRALS FOR BOSONIC FIELDS 264
11.3 PATH INTEGRAL FOR FERMIONIC FIELDS 270
EXERCISES 274
12 THE PERTURBATIVE EXPANSION FOR NON-ABELIAN GAUGE FIELDS 277 12.1 THE
FADDEEV-POPOV-DEWITT DETERMINANT 278
12.2 THE GENERATING FUNCTIONAL FOR GREEN'S FUNCTIONS 282
12.3 FEYNMAN DIAGRAMS 286
12.4 BRST INVARIANCE AND SLAVNOV-TAYLOR IDENTITIES 290
EXERCISES 293
IMAGE 3
CONTENTS IX
13 THE SIMPLEST SUPERSYMMETRIC MODELS 295
13.1 SIMPLE SUPERALGEBRA 295
13.2 SUPERSYMMETRY MULTIPLETS 297
13.3 REPRESENTATION OF SUPERSYMMETRY IN A SPACE OF FIELDS 299 13.4 THE
SUPERSPACE 305
13.5 THE WESS-ZUMINO MODEL 310
13.6 NOTATION AND CONVENTIONS 317
EXERCISES 319
14 ANOMALIES 321
14.1 SIMPLE EXAMPLE OF ANOMALY 321
14.2 ANOMALIES AND THE PATH INTEGRAL 335
EXERCISES 341
APPENDIX A SOME FACTS ABOUT GENERALIZED FUNCTIONS 343
BIBLIOGRAPHY 347
INDEX 349 |
| any_adam_object | 1 |
| author | Arodź, Henryk 1948- Hadasz, Leszek |
| author_GND | (DE-588)14320503X (DE-588)143205056 |
| author_facet | Arodź, Henryk 1948- Hadasz, Leszek |
| author_role | aut aut |
| author_sort | Arodź, Henryk 1948- |
| author_variant | h a ha l h lh |
| building | Verbundindex |
| bvnumber | BV036960071 |
| classification_rvk | UO 4000 |
| ctrlnum | (OCoLC)724154259 (DE-599)DNB1005454116 |
| dewey-full | 530.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14 |
| dewey-search | 530.14 |
| dewey-sort | 3530.14 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV036960071 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:55:42Z |
| institution | BVB |
| isbn | 9783642156236 9783642156243 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020874971 |
| oclc_num | 724154259 |
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| owner | DE-11 DE-634 DE-19 DE-BY-UBM DE-706 |
| owner_facet | DE-11 DE-634 DE-19 DE-BY-UBM DE-706 |
| physical | IX, 351 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| spelling | Arodź, Henryk 1948- Verfasser (DE-588)14320503X aut Lectures on classical and quantum theory of fields Henryk Arodz ; Leszek Hadasz 1. ed. Heidelberg [u.a.] Springer 2010 IX, 351 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Feldtheorie (DE-588)4016698-3 gnd rswk-swf Feldtheorie (DE-588)4016698-3 s DE-604 Quantenfeldtheorie (DE-588)4047984-5 s Hadasz, Leszek Verfasser (DE-588)143205056 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3521258&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020874971&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Arodź, Henryk 1948- Hadasz, Leszek Lectures on classical and quantum theory of fields Quantenfeldtheorie (DE-588)4047984-5 gnd Feldtheorie (DE-588)4016698-3 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4016698-3 |
| title | Lectures on classical and quantum theory of fields |
| title_auth | Lectures on classical and quantum theory of fields |
| title_exact_search | Lectures on classical and quantum theory of fields |
| title_full | Lectures on classical and quantum theory of fields Henryk Arodz ; Leszek Hadasz |
| title_fullStr | Lectures on classical and quantum theory of fields Henryk Arodz ; Leszek Hadasz |
| title_full_unstemmed | Lectures on classical and quantum theory of fields Henryk Arodz ; Leszek Hadasz |
| title_short | Lectures on classical and quantum theory of fields |
| title_sort | lectures on classical and quantum theory of fields |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd Feldtheorie (DE-588)4016698-3 gnd |
| topic_facet | Quantenfeldtheorie Feldtheorie |
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