Non-perturbative physics and magnetic defects in axial gauge QCD:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | III, 92 S. |
Internformat
MARC
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| 100 | 1 | |a Grießhammer, Harald Walter |d 1967- |e Verfasser |0 (DE-588)114634491 |4 aut | |
| 245 | 1 | 0 | |a Non-perturbative physics and magnetic defects in axial gauge QCD |c von Harald Grießhammer |
| 264 | 1 | |c 1996 | |
| 300 | |a III, 92 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Erlangen-Nürnberg, Univ., Diss., 1996 | ||
| 650 | 0 | 7 | |a Eichtransformation |0 (DE-588)4122126-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenchromodynamik |0 (DE-588)4128082-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007256264 | |
Datensatz im Suchindex
| _version_ | 1807594268075753472 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
PROLOGUE
.
1
1.2
THE
QCD
HAMILTONIAN
AND
CONVENTIONS
.
3
1.2.1
THE
HAMILTONIAN
.
3
1.2.2
QUANTISATION
AND
GAUGE
TRANSFORMATIONS
.
4
1.2.3
EQUATIONS
OF
MOTION
AND
THE
PHYSICAL
HILBERT
SPACE
.
5
1.2.4
LARGE
AND
SMALL
GAUGE
TRANSFORMATIONS
.
6
2
THE
GAUGE
ALGEBRA
REVISITED
7
2.1
THE
OPERATOR
ALGEBRA
.
7
2.2
DERIVING
GAUB
'
LAW
.
8
2.3
THE
GAUGE
ALGEBRA
REVISITED
.
11
3
QUANTUM
MECHANICAL
GAUGE
FIXING
13
3.1
OUTLINE
.
13
3.1.1
TRANSITION
TO
THE
MODIFIED
AXIAL
GAUGE
.
13
3.1.2
A
WORD
OF
CAUTION
.
16
3.1.3
OCCURRENCE
OF
A
JACOBIAN
.
16
3.1.4
HAMILTONIAN
AND
RESIDUAL
GAUB
'
LAW
.
18
3.2
DETAILS
OF
THE
FORMALISM
.
20
3.2.1
RESOLUTION
OF
GAUB
'
LAW
.
20
3.2.2
RESOLUTION
OF
THE
RESIDUAL
GAUB
'
LAW
.
22
3.3
FURTHER
COMMENTS
.
24
3.3.1
DEFINITION
OF
OPERATORS
IN
VARIOUS
HILBERT
SPACES
.
24
3.3.2
IMPORTANCE
OF
THE
OPERATOR
ORDERING
RULE
.
25
3.3.3
DEFINITION
OF
THE
VARIOUS
PHYSICAL
HILBERT
SPACES
.
27
3.3.4
GAUGE
INVARIANCE
OF
THE
EIGENVALUES
OF
THE
POLYAKOV
LOOP
.
28
3.3.5
UNIQUENESS
OF
THE
QMGF
.
29
3.4
BOUNDARY
CONDITIONS
.
30
3.4.1
GENERAL
CONSIDERATIONS
.
30
3.4.2
EXAMINING
GLOBAL
QMGF
PROPERTIES
.
31
3.4.3
AN
EXAMPLE
IN
SU
(2)
.
33
3.4.4
THE
DIAGONALISATION
WINDING
NUMBER
.
35
3.4.5
CONCLUSIONS
AND
INTERPRETATION
.
36
II
CONTENTS
4
RESIDUAL
GAUGE
TRANSFORMATIONS
39
4.1
CONSTRUCTION
OF
THE
GENERATOR
.
40
4.1.1
QMGF
OF
THE
GENERATOR
.
40
4.1.2
REMAINING
GAUB
'
LAW
AND
CHARGE
NEUTRALITY
.
41
4.1.3
REMAINING
GAUB
'
LAW
AND
SIMPLIFICATIONS
.
42
4.2
SURVIVING
GAUGE
FUNCTIONS
.
44
4.2.1
QED
AS
EXAMPLE
.
44
4.2.2
THE
RESULT
FOR
QCD
.
44
4.2.3
FINAL
COMMENTS
.
46
5
RESIDUAL
AND
LARGE
GAUGE
TRANSFORMATIONS
48
5.1
THE
VACUUM-,?-ANGLE
.
48
5.1.1
THE
WINDING
NUMBER
DETECTOR
.
48
5.1.2
LARGE
GAUGE
TRANSFORMATIONS
ON
THE
TORUS
.
50
5.1.3
EMERGENCE
OF
THE
VACUUM-I?-ANGLE
.
52
5.1.4
REPRESENTATION
USING
GAUGE
INVARIANT
STATES
.
52
5.1.5
ANALOGY
TO
SOLID
STATE
PHYSICS
.
53
5.1.6
GAUGE
TRANSFORMATIONS
AND
THE
QUASI-LOCAL
ALGEBRA
.
54
5.2
LARGE
GAUGE
TRANSFORMATIONS
AND
QMGF
.
55
5.2.1
THE
WINDING
NUMBER
OPERATOR
AFTER
THE
QMGT
.
55
5.2.2
THE
WINDING
NUMBER
OPERATOR
IS
NOT
FORM-INVARIANT
.
57
5.3
ROLE
OF
GAUGE
TRANSFORMATIONS
AFTER
QMGF
.
59
5.3.1
GENERAL
CONSIDERATION
ON
COMPLETE
GAUGE
FIXING
.
60
5.3.2
RE-INTERPRETING
QMGF
AS
COMPLETE
GAUGE
FIXING
.
61
5.3.3
A
WINDING
NUMBER
CANDIDATE
AFTER
GAUGE
FIXING
.
61
5.4
SOME
EFFECTS
OF
THE
JACOBIAN
ON
DYNAMICS
.
64
5.4.1
JACOBIAN
AS
DYNAMICAL
CONSTRAINT
.
64
5.4.2
LATTICE
VERSION
.
65
5.4.3
CONTINUUM
VERSION
.
67
5.4.4
POSSIBLE
CONSEQUENCES
.
69
5.5
PLANS
FOR
FURTHER
WORK
.
70
6
SUMMARY
AND
OUTLOOK
71
A
LIE
ALGEBRA
CONVENTIONS
77
B
APPENDIX
TO
CHAPTER
3
79
B.L
SCHEME
SUMMARISING
THE
QMGF
PROCEDURE
.
79
B.2
DIAGONALISATION
FAILS
FOR
SU(N)
.
81
C
APPENDIX
TO
CHAPTER
4
82
C.L
SIMPLIFYING
THE
TRANSFORMED
GENERATOR
.
82
C.L.L
PROOF
OF
FORMULA
(4.1.13)
.
82
C.L.
2
FURTHER
SIMPLIFICATIONS
.
82
C.2
RESIDUAL
GAUGE
TRANSFORMATIONS
IN
TLPHY.
.
83
C.3
RESIDUAL
GAUGE
TRANSFORMATIONS
WITHOUT
TRICKS
.
84
C.3.1
CALCULATING
THE
GREEN
'
S
FUNCTION
INTEGRAL
.
84
C.3.2
THE
GENERATOR
WITHOUT
TRICKS
.
86
CONTENTS
III
D
APPENDIX
TO
CHAPTER
5
88
BIBLIOGRAPHY
88 |
| any_adam_object | 1 |
| author | Grießhammer, Harald Walter 1967- |
| author_GND | (DE-588)114634491 |
| author_facet | Grießhammer, Harald Walter 1967- |
| author_role | aut |
| author_sort | Grießhammer, Harald Walter 1967- |
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| building | Verbundindex |
| bvnumber | BV010857391 |
| classification_rvk | UO 5730 |
| ctrlnum | (OCoLC)613909071 (DE-599)BVBBV010857391 |
| discipline | Physik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010857391 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-17T00:57:07Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007256264 |
| oclc_num | 613909071 |
| open_access_boolean | |
| owner | DE-29 DE-29T DE-355 DE-BY-UBR DE-12 DE-83 DE-11 DE-188 |
| owner_facet | DE-29 DE-29T DE-355 DE-BY-UBR DE-12 DE-83 DE-11 DE-188 |
| physical | III, 92 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| record_format | marc |
| spelling | Grießhammer, Harald Walter 1967- Verfasser (DE-588)114634491 aut Non-perturbative physics and magnetic defects in axial gauge QCD von Harald Grießhammer 1996 III, 92 S. txt rdacontent n rdamedia nc rdacarrier Erlangen-Nürnberg, Univ., Diss., 1996 Eichtransformation (DE-588)4122126-6 gnd rswk-swf Quantenchromodynamik (DE-588)4128082-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenchromodynamik (DE-588)4128082-9 s Eichtransformation (DE-588)4122126-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007256264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grießhammer, Harald Walter 1967- Non-perturbative physics and magnetic defects in axial gauge QCD Eichtransformation (DE-588)4122126-6 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| subject_GND | (DE-588)4122126-6 (DE-588)4128082-9 (DE-588)4113937-9 |
| title | Non-perturbative physics and magnetic defects in axial gauge QCD |
| title_auth | Non-perturbative physics and magnetic defects in axial gauge QCD |
| title_exact_search | Non-perturbative physics and magnetic defects in axial gauge QCD |
| title_full | Non-perturbative physics and magnetic defects in axial gauge QCD von Harald Grießhammer |
| title_fullStr | Non-perturbative physics and magnetic defects in axial gauge QCD von Harald Grießhammer |
| title_full_unstemmed | Non-perturbative physics and magnetic defects in axial gauge QCD von Harald Grießhammer |
| title_short | Non-perturbative physics and magnetic defects in axial gauge QCD |
| title_sort | non perturbative physics and magnetic defects in axial gauge qcd |
| topic | Eichtransformation (DE-588)4122126-6 gnd Quantenchromodynamik (DE-588)4128082-9 gnd |
| topic_facet | Eichtransformation Quantenchromodynamik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007256264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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