A primer for chiral perturbation theory:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2012
|
| Series: | Lecture notes in physics
830 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | IX, 338 S. graph. Darst. |
| ISBN: | 9783642192531 9783642192548 |
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MARC
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| 100 | 1 | |a Scherer, Stefan |d 1961- |e Verfasser |0 (DE-588)1016509766 |4 aut | |
| 245 | 1 | 0 | |a A primer for chiral perturbation theory |c Stefan Scherer ; Matthias R. Schindler |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2012 | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |t A Primer for Chiral Perturbation Theory |
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Record in the Search Index
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| adam_text |
IMAGE 1
CONTENTS
1 QUANTUM CHROMODYNAMICS AND CHIRAL SYMMETRY 1
1.1 SOME REMARKS ON SU(3) 1
1.2 LOCAL SYMMETRIES AND THE QCD LAGRANGIAN 4
1.2.1 THE QED LAGRANGIAN 5
1.2.2 THE QCD LAGRANGIAN 6
1.3 ACCIDENTAL, GLOBAL SYMMETRIES OF THE QCD LAGRANGIAN 9
1.3.1 LIGHT AND HEAVY QUARKS 9
1.3.2 LEFT-HANDED AND RIGHT-HANDED QUARK FIELDS 10
1.3.3 NOETHER THEOREM 13
1.3.4 GLOBAL SYMMETRY CURRENTS OF THE LIGHT-QUARK S E C T O R . . 22
1.3.5 THE CHIRAL ALGEBRA 24
1.3.6 CHIRAL SYMMETRY BREAKING BY THE QUARK MASSES 25
1.4 GREEN FUNCTIONS AND WARD IDENTITIES 28
1.4.1 WARD IDENTITIES RESULTING FROM U(L) INVARIANCE: AN EXAMPLE 29
1.4.2 CHIRAL GREEN FUNCTIONS 36
1.4.3 THE ALGEBRA OF CURRENTS 38
1.4.4 QCD IN THE PRESENCE OF EXTERNAL FIELDS AND THE GENERATING
FUNCTIONAL 40
1.4.5 PCAC IN THE PRESENCE OF AN EXTERNAL ELECTROMAGNETIC FIELD 46
REFERENCES 47
2 SPONTANEOUS SYMMETRY BREAKING AND THE GOLDSTONE THEOREM. . . 49 2. 1
DEGENERATE GROUND STATES 49
2.2 SPONTANEOUS BREAKDOWN OF A GLOBAL, CONTINUOUS, NON-ABELIAN SYMMETRY
54
2.3 GOLDSTONE THEOREM 59
2.4 EXPLICIT SYMMETRY BREAKING: A FIRST LOOK 63
REFERENCES 64
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1009641247
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
CHIRAL PERTURBATION THEORY FOR MESONS 65
3.1 EFFECTIVE FIELD THEORY 65
3.2 SPONTANEOUS SYMMETRY BREAKING IN QCD 69
3.2.1 THE HADRON SPECTRUM 69
3.2.2 THE SCALAR SINGLET QUARK CONDENSATE 72
3.3 TRANSFORMATION PROPERTIES OF THE GOLDSTONE BOSONS 76 3.3.1 GENERAL
CONSIDERATIONS 76
3.3.2 APPLICATION TO QCD 79
3.4 EFFECTIVE LAGRANGIAN AND POWER-COUNTING SCHEME 82 3.4.1 THE
LOWEST-ORDER EFFECTIVE LAGRANGIAN 82
3.4.2 SYMMETRY BREAKING BY THE QUARK MASSES 86
3.4.3 CONSTRUCTION OF THE EFFECTIVE LAGRANGIAN 90
3.4.4 APPLICATION AT LOWEST ORDER: PION DECAY 96
3.4.5 APPLICATION AT LOWEST ORDER: PION-PION SCATTERING 100 3.4.6
APPLICATION AT LOWEST ORDER: COMPTON SCATTERING 104 3.4.7 DIMENSIONAL
REGULARIZATION 105
3.4.8 THE GENERATION OF COUNTER TERMS 115
3.4.9 POWER-COUNTING SCHEME 117
3.5 BEYOND LEADING ORDER 120
3.5.1 THE 0(Q 4 ) LAGRANGIAN OF GASSER AND LEUTWYLER 121 3.5.2 MASSES OF
THE GOLDSTONE BOSONS AT (9(Q 4 ) 123
3.5.3 THE EFFECTIVE WESS-ZUMINO-WITTEN ACTION 133 3.5.4 CHIRAL
PERTURBATION THEORY AT @(Q 6 ) 138
REFERENCES 142
CHIRAL PERTURBATION THEORY FOR BARYONS 145
4.1 TRANSFORMATION PROPERTIES OF THE FIELDS 146
4.2 BARYONIC EFFECTIVE LAGRANGIAN AT LOWEST ORDER 149
4.3 APPLICATIONS AT LOWEST ORDER 155
4.3.1 GOLDBERGER-TREIMAN RELATION AND THE AXIAL-VECTOR CURRENT MATRIX
ELEMENT 155
4.3.2 PION-NUCLEON SCATTERING 160
4.4 THE NEXT-TO-LEADING-ORDER LAGRANGIAN 169
4.5 LOOP DIAGRAMS: RENORMALIZATION AND POWER COUNTING 171 4.5.1 COUNTER
TERMS OF THE BARYONIC CHPT LAGRANGIAN 172 4.5.2 POWER COUNTING 173
4.5.3 ONE-LOOP CORRECTION TO THE NUCLEON MASS 174
4.6 RENORMALIZATION SCHEMES 179
4.6.1 HEAVY-BARYON APPROACH 180
4.6.2 INFRARED REGULARIZATION 185
4.6.3 EXTENDED ON-MASS-SHELL SCHEME 192
4.6.4 DIMENSIONAL COUNTING ANALYSIS 198
IMAGE 3
CONTENTS IX
4.7 THE DELTA RESONANCE 200
4.7.1 THE FREE LAGRANGIAN OF A SPIN-3/2 SYSTEM 201
4.7.2 ISOSPIN 204
4.7.3 LEADING-ORDER LAGRANGIAN OF THE A( 1232) RESONANCE . . 207 4.7.4
CONSISTENT INTERACTIONS 209
REFERENCES 213
5 APPLICATIONS AND OUTLOOK 215
5.1 NUCLEON MASS AND SIGMA TERM 215
5.1.1 NUCLEON MASS TO O(Q 3 ) IN THE HEAVY-BARYON FORMALISM 215
5.1.2 NUCLEON MASS AND SIGMA TERM AT (B(Q A ) 218
5.1.3 NUCLEON MASS INCLUDING THE DELTA RESONANCE 224 5.1.4 NUCLEON MASS
TO O(Q 6 ) 227
5.2 NUCLEON ELECTROMAGNETIC FORM FACTORS TO (9(Q 4 ) * 230
5.3 ADVANCED APPLICATIONS AND OUTLOOK 239
5.3.1 CHIRAL EXTRAPOLATIONS 239
5.3.2 PION PHOTO- AND ELECTROPRODUCTION 239
5.3.3 COMPTON SCATTERING AND POLARIZABILITIES 240
5.3.4 VIRTUAL COMPTON SCATTERING 241
5.3.5 ISOSPIN-SYMMETRY BREAKING 242
5.3.6 THREE-FLAVOR CALCULATIONS 242
5.3.7 CHIRAL UNITARY APPROACHES 243
5.3.8 COMPLEX-MASS SCHEME 243
5.3.9 CHIRAL EFFECTIVE THEORY FOR TWO- AND FEW-NUCLEON SYSTEMS 244
REFERENCES 245
APPENDIX A: PAULI AND DIRAC MATRICES 251
APPENDIX B: FUNCTIONALS AND LOCAL FUNCTIONAL DERIVATIVES 253
SOLUTIONS TO EXERCISES 257
INDEX 335 |
| any_adam_object | 1 |
| author | Scherer, Stefan 1961- Schindler, Matthias R. 1977- |
| author_GND | (DE-588)1016509766 (DE-588)133251896 |
| author_facet | Scherer, Stefan 1961- Schindler, Matthias R. 1977- |
| author_role | aut aut |
| author_sort | Scherer, Stefan 1961- |
| author_variant | s s ss m r s mr mrs |
| building | Verbundindex |
| bvnumber | BV039691453 |
| classification_rvk | UD 8220 |
| ctrlnum | (OCoLC)706920600 (DE-599)DNB1009641247 |
| dewey-full | 530.143 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.143 |
| dewey-search | 530.143 |
| dewey-sort | 3530.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| isbn | 9783642192531 9783642192548 |
| language | English |
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| physical | IX, 338 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Scherer, Stefan 1961- Verfasser (DE-588)1016509766 aut A primer for chiral perturbation theory Stefan Scherer ; Matthias R. Schindler Berlin [u.a.] Springer 2012 IX, 338 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 830 Literaturangaben Chirale Störungstheorie (DE-588)4618818-6 gnd rswk-swf Chirale Störungstheorie (DE-588)4618818-6 s DE-604 Schindler, Matthias R. 1977- Verfasser (DE-588)133251896 aut Erscheint auch als Online-Ausgabe A Primer for Chiral Perturbation Theory Lecture notes in physics 830 (DE-604)BV000003166 830 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3654945&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=024540219&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scherer, Stefan 1961- Schindler, Matthias R. 1977- A primer for chiral perturbation theory Lecture notes in physics Chirale Störungstheorie (DE-588)4618818-6 gnd |
| subject_GND | (DE-588)4618818-6 |
| title | A primer for chiral perturbation theory |
| title_auth | A primer for chiral perturbation theory |
| title_exact_search | A primer for chiral perturbation theory |
| title_full | A primer for chiral perturbation theory Stefan Scherer ; Matthias R. Schindler |
| title_fullStr | A primer for chiral perturbation theory Stefan Scherer ; Matthias R. Schindler |
| title_full_unstemmed | A primer for chiral perturbation theory Stefan Scherer ; Matthias R. Schindler |
| title_short | A primer for chiral perturbation theory |
| title_sort | a primer for chiral perturbation theory |
| topic | Chirale Störungstheorie (DE-588)4618818-6 gnd |
| topic_facet | Chirale Störungstheorie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3654945&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024540219&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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