Nonperturbative physics, fractional instantons and matter fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2014
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-304782 Inhaltsverzeichnis |
| Beschreibung: | 157 S. Ill., graph. Darst. |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152491201265664 |
|---|---|
| adam_text | NONPERTURBATIVE PHYSICS, FRACTIONAL
INSTANTONS AND MATTER FIELDS
DISSERTATION
ZUR ERLANGUNG DES DOKTORGRADES DER NATURWISSENSCHAFTEN
R. RER. NAT.) DER FAKULTAET FUER PHYSIK DER UNIVERSITAET REGENSBURG
VORGELEGT VON
TIN SULEJMANPASIC
AUS SARAJEVO. BOSNIEN UND HERZEGOWINA
REGENSBURG. MAI 2014
HTTP://D-NB.INFO/1058560778
CONTENTS
1 INTRODUCTION 9
2 PRELIMINARIES 15
2.1 MOTIVATION: POLYAKOV S CONFINEMENT 15
2.2 MONOPOLES AND CALORONS ON L
3
X 5
1
22
2.2.1 THE BPS MONOPOLE 22
2.2.2 THE KK MONOPOLE 25
2.3 THE CALORON 27
2.4 INDEX THEOREM AND FRACTIONAL TOPOLOGY 30
2.5 SUPERSYMMETRY AND SUPERSPACE 37
2.5.1 SUPERFIELDS 39
2.6 SPIN MODELS. DUALITY AND VORTICES 42
2.6.1 THE 0(2) MODEL 43
2.6.2 CP(N * 1) AND O(N) MODEL WITH CHEMICAL POTENTIAL 46
3 ZERO MODES, CHARGE AND MAGNETIC FIELDS 49
3.1 2+1 DIMENSIONAL SYSTEM AND CHARGE CATALYSIS 49
3.1.1 (2+L)D AND ELECTRIC CHARGE CATALYSIS 49
3.1.2 CHARGE HALOS AND CHARGE SEPARATION
BY MAGNETIC FIELDS 51
3.1.3 CHARGE CATALYSIS IN GRAPHENE 56
3.2 INSTANTON-MONOPOLES AND CHARGE CATALYSIS 59
3.3 ZERO MODES WITH CHEMICAL POTENTIAL 64
3.3.1 THE INDEX THEOREM REVISITED 64
3.3.2 BI-ORTHOGONAL NORMALIZATION 65
3.3.3 MONOPOLE IN THE RADIAL GAUGE 66
3.3.4 CALORON ZERO MODES 68
3.3.5 THE HOPPING MATRIX ELEMENT 74
3.4 SUMMARY 78
7
8
CONTENTS
4
DYNAMICAL MODELS 81
4.1 SUPERSYMMETRY AND INSTANTON-MONOPOLES 81
4.1.1 THE MONOPOLES IN SU(2) AND THE SUPERPOTENTIAL 82
4.1.2 SQCD: INTRODUCING THE FUNDAMENTAL MATTER MULTIPLET 89
4.2 0(3) MODEL AND CHEMICAL POTENTIAL 102
4.2.1 0(2) MODEL. VORTICES AND CHEMICAL POTENTIAL 103
4.2.2 0(3) AND O(N)
WITH CHEMICAL POTENTIAL AND THE EFFECTIVE ACTION . . 106
4.2.3 SUMMARY AND CONCLUSION 109
4.3 FUTURE PROSPECTS: PURE YANG-MILLS 110
5 SUMMARY, FUTURE PROSPECTS AND SPECULATIONS 113
A ABBREVIATIONS AND NOTATION 119
A.L ABBREVIATIONS 119
A.2 PAULI AND DIRAC MATRICES AND GAUGE FIELDS 119
B TOPOLOGICAL CHARGE AND WINDING 123
C MONOPOLE MEASURE 125
C.L MODULI SPACE METRIC 125
C.2 THE ONE LOOP DETERMINANTS 126
D THE BACKGROUND FIELD QUANTIZATION 129
D.L YM ACTION TO QUADRATIC ORDER 129
D.2 THE FADDEEVPOPOV GHOSTS 130
D.2.1 THE ONE LOOP DETERMINANTS 132
E FUNDAMENTAL ZERO MODE AND CHEMICAL POTENTIAL 133
E.L THE
SINGLE MONOPOLE BACKGROUND
133
F THE INDEX THEOREM 137
F.L THE INDEX FORMULA 137
F. 2 THE INDEX THEOREM FOR 2D 139
G GRASSMANN ALGEBRA AND RELATIONS 143
H SUMS 145
H.L POISSON RESUMMATION 145
H.2 HURWITZ ZETA SUM 148
|
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| physical | 157 S. Ill., graph. Darst. |
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| spelling | Sulejmanpašić, Tin Verfasser aut Nonperturbative physics, fractional instantons and matter fields von Tin Sulejmanpašić 2014 157 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regensburg, Univ., Diss., 2014 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-304782 http://epub.uni-regensburg.de/30478 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-304782 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027496626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sulejmanpašić, Tin Nonperturbative physics, fractional instantons and matter fields |
| subject_GND | (DE-588)4113937-9 |
| title | Nonperturbative physics, fractional instantons and matter fields |
| title_auth | Nonperturbative physics, fractional instantons and matter fields |
| title_exact_search | Nonperturbative physics, fractional instantons and matter fields |
| title_full | Nonperturbative physics, fractional instantons and matter fields von Tin Sulejmanpašić |
| title_fullStr | Nonperturbative physics, fractional instantons and matter fields von Tin Sulejmanpašić |
| title_full_unstemmed | Nonperturbative physics, fractional instantons and matter fields von Tin Sulejmanpašić |
| title_short | Nonperturbative physics, fractional instantons and matter fields |
| title_sort | nonperturbative physics fractional instantons and matter fields |
| topic_facet | Hochschulschrift |
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