Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics:
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| Format: | Book |
| Language: | English |
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2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Leipzig, Univ., Diss., 2002 |
| Physical Description: | II, 147, 5 S. |
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| 245 | 1 | 0 | |a Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |c vorgelegt von Markus Lazar |
| 246 | 1 | |a Group theoretical analysis of light-cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics | |
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CONTENTS
1 INTRODUCTION 1
2 QUANTUM FIELD THEORETICAL TREATMENT OF LIGHT-CONE DOMINATED HADRONIC
PRO
CESSES 5
2.1 LIGHT-CONE DOMINATED SCATTERING PROCESSES AND LIGHT-CONE EXPANSION
IN QCD . 5
2.1.1 PHENOMENOLOGY OF HARD SCATTERING PROCESSES IN QCD. 5
2.1.2 LIGHT-CONE EXPANSION. 8
2.1.3 DISTRIBUTION AMPLITUDES. 13
2.1.4 ANOMALOUS DIMENSIONS OF QCD OPERATORS. 16
2.2 THE CONCEPT OF GEOMETRIC TWIST OF NONLOCAL OPERATORS. 19
2.2.1 THE PROCEDURE OF TWIST DECOMPOSITION OF NONLOCAL OPERATORS. 19
2.2.2 TRANSFORMATION PROPERTIES OF (NON)LOCAL OPERATORS WITH DEFINITE
GEOMETRIC
TWIST. 23
3 APPLICATION OF THE TWIST DECOMPOSITION TO DIFFERENT ASPECTS OF THE
HADRON
PHENOMENOLOGY 25
3.1 QUARK DISTRIBUTION FUNCTIONS OF DEFINITE GEOMETRIC TWIST . 25
3.1.1 QUARK DISTRIBUTION FUNCTIONS OF DEFINITE DYNAMICAL TWIST. 25
3.1.2 TWIST DECOMPOSITION OF BILINEAR QUARK OPERATORS . 27
3.1.3 FORWARD MATRIX ELEMENTS OF LC-OPERATORS WITH DEFINITE GEOMETRIC
TWIST . 29
3.1.4 RELATIONS BETWEEN QUARK DISTRIBUTION FUNCTIONS OF DYNAMICAL AND
GEOMET
RIC TWIST. 34
3.1.5 WANDZURA-WILCZEK TYPE RELATIONS. 37
3.1.6 CONCLUSIONS. 41
3.2 VECTOR MESON DISTRIBUTION AMPLITUDES OF DEFINITE GEOMETRIC TWIST .
43
3.2.1 THE P-MESON DISTRIBUTION AMPLITUDES OF DEFINITE DYNAMICAL TWIST.
43
3.2.2 THE P-MESON MATRIX ELEMENTS OF LC-OPERATORS WITH DEFINITE
GEOMETRIC TWIST 45
3.2.3 THE RELATIONS BETWEEN P-MESON DISTRIBUTION AMPLITUDES OF DYNAMICAL
AND
GEOMETRIC TWIST. 49
3.2.4 WANDZURA-WILCZEK TYPE RELATIONS. 51
3.2.5 CONCLUSIONS. 56
3.3 POWER CORRECTIONS OF OFF-FORWARD QUARK DISTRIBUTIONS AND HARMONIC
OPERATORS WITH
DEFINITE GEOMETRIC TWIST . 57
3.3.1 NON-FORWARD MATRIX ELEMENTS OF HARMONIC OPERATORS: THE METHOD .
58
3.3.2 POWER CORRECTIONS OF NON-FORWARD MATRIX ELEMENTS. 63
3.3.3 CONCLUSIONS. 71
I
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/965064638
4 THE TWIST DECOMPOSITION OF NONLOCAL TENSOR OPERATORS 72
4.1 IRREDUCIBLE TENSOR POLYNOMIALS AND HARMONIC EXTENSION IN
2H-DIMENSIONAL SPACE-
TIME - POLYNOMIAL TECHNIQUE. 72
4.2 TWIST DECOMPOSITION OF A BILOCAL 2ND RANK TENSOR OPERATOR. 82
4.2.1 TENSOR OPERATORS OF SYMMETRY CLASS (I). 83
4.2.2 TENSOR OPERATORS OF SYMMETRY CLASS (II) . 87
4.2.3 TENSOR OPERATORS OF SYMMETRY CLASS (III). 95
4.2.4 TENSOR OPERATORS OF SYMMETRY CLASS (IV). 97
4.2.5 CONCLUSIONS.102
4.3 EXTENSION TO TRILOCAL TENSOR OPERATORS.104
4.3.1 GENERAL TRILOCAL TENSOR OPERATORS: QUARK-ANTIQUARK-GLUON,
FOUR-QUARK AND
FOUR-GLUON OPERATORS.104
4.3.2 CONSTRAINED TRILOCAL OPERATORS: SHURYAK-VAINSHTEIN- AND
THREE-GLUON OP
ERATORS .107
4.3.3 CONCLUSIONS.112
4.4 HARMONIC OPERATORS OF DEFINITE GEOMETRIC TWIST IN TERMS OF
GEGENBAUER POLYNO
MIALS AND BESSEL FUNCTIONS.114
4.4.1 TOTALLY SYMMETRIC HARMONIC OPERATORS OF ANY GEOMETRIC TWIST.114
4.4.2 HARMONIC QUARK-ANTIQUARK OPERATORS OF GEOMETRIC TWIST 2 AND 3.119
5 CONCLUSIONS AND OUTLOOK 125
A SYMMETRY CLASSES AND TENSOR REPRESENTATIONS 127
B IRREDUCIBLE TENSOR REPRESENTATIONS OF THE LORENTZ GROUP 130
C THE INTERIOR DERIVATIVE ON THE LIGHT-CONE AND LIGHT-CONE OPERATORS
WITH DEFINITE
GEOMETRIC TWIST 133
D TARGET MASS CORRECTIONS FOR A SCALAR THEORY IN 2/I-DIMENSIONAL
SPACETIME 136
II |
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| discipline | Physik |
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| indexdate | 2024-10-09T18:03:58Z |
| institution | BVB |
| language | English |
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| physical | II, 147, 5 S. |
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| spelling | Lazar, Markus Verfasser aut Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics vorgelegt von Markus Lazar Group theoretical analysis of light-cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics 2002 II, 147, 5 S. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Diss., 2002 Lichtkegel (DE-588)4167586-1 gnd rswk-swf Harter Streuprozess (DE-588)4253553-0 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenchromodynamik (DE-588)4128082-9 s Harter Streuprozess (DE-588)4253553-0 s Lichtkegel (DE-588)4167586-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009950461&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lazar, Markus Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics Lichtkegel (DE-588)4167586-1 gnd Harter Streuprozess (DE-588)4253553-0 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4167586-1 (DE-588)4253553-0 (DE-588)4128082-9 (DE-588)4113937-9 |
| title | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |
| title_alt | Group theoretical analysis of light-cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |
| title_auth | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |
| title_exact_search | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |
| title_full | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics vorgelegt von Markus Lazar |
| title_fullStr | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics vorgelegt von Markus Lazar |
| title_full_unstemmed | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics vorgelegt von Markus Lazar |
| title_short | Group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |
| title_sort | group theoretical analysis of light cone dominated hadronic processes and twist decomposition of nonlocal operators in quantum chromodynamics |
| topic | Lichtkegel (DE-588)4167586-1 gnd Harter Streuprozess (DE-588)4253553-0 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Lichtkegel Harter Streuprozess Quantenchromodynamik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009950461&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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