Conformal partial wave expansions in field theories in 2 + epsilon dimensions:
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| Format: | Book |
| Language: | German |
| Published: |
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hamburg, Univ., Diss., 1995 |
| Physical Description: | 181 S. |
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MARC
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| 100 | 1 | |a Pittelkow, Andreas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Conformal partial wave expansions in field theories in 2 + epsilon dimensions |c vorgelegt von Andreas Pittelkow |
| 264 | 1 | |c 1994 | |
| 300 | |a 181 S. | ||
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| 500 | |a Hamburg, Univ., Diss., 1995 | ||
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| adam_text |
CONTENTS
1 INTRODUCTION 1
2 THE SCALAR FOUR-POINT FUNCTION IN ARBITRARY DIMENSIONS 9
'2.1 THE REPRESENTATION ACCORDING TO FERRARA
ET AL. 9
2.2 THE REPRESENTATION OF THE FOUR-POINT FUNCTION WITH HARMONIC RATIOS.
15
2.3 SINGULARITIES OF THE SCALAR FOUR-POINT FUNCTION. 19
2.4 THE REPRESENTATION VIA DOUBLE HYPERGEOMETRIC FUNCTIONS. 22
2.5 THE SCALAR FOUR-POINT FUNCTION IN TWO DIMENSIONS. 24
2.6 DILATATION INVARIANCE OF THE SCALAR FOUR-POINT FUNCTION . 27
2.7 THE EXCHANGE SYMMETRY A(X) *-* B(Y). 28
2.8 LOCALITY OF THE SCALAR FOUR-POINT FUNCTION. 29
3 THE NEW APPROACH TO CQFT IN TWO DIMENSIONS 37
3.1 THE REDUCTION TO AN ONE-DIMENSIONAL PROBLEM. 37
3.2 THE CENTER Z2 Z OF THE CONFORMAL GROUP IN TWO DIMENSIONS. 49
3.3 THE EVALUATION OF THE FIRST PARTIAL WAVE IN TWO DIMENSIONS. 53
3.4 THE EVALUATION OF THE SECOND PARTIAL WAVE IN TWO DIMENSIONS . 64
3.5 THE GENERAL STRUCTURE OF PARTIAL WAVES IN TWO DIMENSIONS . 66
4 CQFT IN THREE DIMENSIONS 69
4.1 THE CONFORMAL GROUP 50(3,2). 69
4.2 THE LORENTZ GROUP AND THE SPIN-DEPENDENCE OF THREE-POINT FUNCTIONS.
70
4.3 THE EVALUATION OF THE FIRST PARTIAL WAVE IN THREE DIMENSIONS. 74
4.4 THE EVALUATION OF THE SECOND PARTIAL WAVE IN THREE DIMENSIONS . 88
4.5 THE GENERAL STRUCTURE OF PARTIAL WAVES IN THREE DIMENSIONS. 92
5 THE CONFORMAL FOUR-POINT FUNCTION IN 2 + YY DIMENSIONS 97
5.1 SOME ASPECTS OF THE GEOMETRY IN
D = 2 + YY . 97
5.2 THE EVALUATION OF THE FIRST PARTIAL WAVE IN D = 2 + C. 104
5.3 THE GENERAL STRUCTURE OF PARTIAL WAVES IN D - 2 + C. 119
6 CROSSING RELATIONS AND SINGULARITIES 125
6.1 NORMALIZATIONS. 125
6.2 SINGULARITIES OF THE FOUR-POINT FUNCTION. 131
6.3 EXCHANGE SYMMETRIES AND CROSSING RELATIONS. 135
7 DISCUSSION AND OUTLOOK 147
8 APPENDIX 149
A THE GROUP 149
B THE PROJECTIVE REPRESENTATION OF THE CONFORMAL GROUP. 152
C SOME ASPECTS OF THE CONFORMAL GROUP IN FOUR DIMENSIONS. 156
D THE LORENTZ GROUP 50(2,1) IN THREE DIMENSIONS. 158
E THE SPINOR REPRESENTATIONS IN THREE AND FOUR DIMENSIONS. 161
F PROOFS. 162
G THE FORMALISM OF HOMOGENEOUS POLYNOMIALS IN EUCLIDEAN SPACE. 166
H THE FACTORS A', OF THE FIRST PARTIAL WAVE IN D = 2 AND 0 = 3. 169
9 BIBLIOGRAPHY 173
LIST OF FIGURES
1 CROSSING RELATIONS FOR TWO DIFFERENT INSERTIONS OF OPE. 2
2 DETERMINATION OF THE PARTIAL WAVE IN THE CROSSED CHANNEL. 3
3 STEREOGRAPHIC PROJECTION 51 -
YY
72. 101
II
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/943933404 |
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| indexdate | 2024-10-09T16:16:38Z |
| institution | BVB |
| language | German |
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| physical | 181 S. |
| publishDate | 1994 |
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| spelling | Pittelkow, Andreas Verfasser aut Conformal partial wave expansions in field theories in 2 + epsilon dimensions vorgelegt von Andreas Pittelkow 1994 181 S. txt rdacontent n rdamedia nc rdacarrier Hamburg, Univ., Diss., 1995 Konforme Feldtheorie (DE-588)4312574-8 gnd rswk-swf Mehrpunktfunktion (DE-588)4371838-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Konforme Feldtheorie (DE-588)4312574-8 s Mehrpunktfunktion (DE-588)4371838-3 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006757349&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pittelkow, Andreas Conformal partial wave expansions in field theories in 2 + epsilon dimensions Konforme Feldtheorie (DE-588)4312574-8 gnd Mehrpunktfunktion (DE-588)4371838-3 gnd |
| subject_GND | (DE-588)4312574-8 (DE-588)4371838-3 (DE-588)4113937-9 |
| title | Conformal partial wave expansions in field theories in 2 + epsilon dimensions |
| title_auth | Conformal partial wave expansions in field theories in 2 + epsilon dimensions |
| title_exact_search | Conformal partial wave expansions in field theories in 2 + epsilon dimensions |
| title_full | Conformal partial wave expansions in field theories in 2 + epsilon dimensions vorgelegt von Andreas Pittelkow |
| title_fullStr | Conformal partial wave expansions in field theories in 2 + epsilon dimensions vorgelegt von Andreas Pittelkow |
| title_full_unstemmed | Conformal partial wave expansions in field theories in 2 + epsilon dimensions vorgelegt von Andreas Pittelkow |
| title_short | Conformal partial wave expansions in field theories in 2 + epsilon dimensions |
| title_sort | conformal partial wave expansions in field theories in 2 epsilon dimensions |
| topic | Konforme Feldtheorie (DE-588)4312574-8 gnd Mehrpunktfunktion (DE-588)4371838-3 gnd |
| topic_facet | Konforme Feldtheorie Mehrpunktfunktion Hochschulschrift |
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