Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bonn
SFB 611
2003
|
| Edition: | Als Ms. vervielfältigt |
| Series: | Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen
58 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 56 - 70 |
| Physical Description: | 70 S. 30 cm |
Staff View
MARC
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| 100 | 1 | |a Albeverio, Sergio |d 1939- |e Verfasser |0 (DE-588)121093999 |4 aut | |
| 245 | 1 | 0 | |a Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |c S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| 250 | |a Als Ms. vervielfältigt | ||
| 264 | 1 | |a Bonn |b SFB 611 |c 2003 | |
| 300 | |a 70 S. |b 30 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |v 58 | |
| 500 | |a Literaturverz. S. 56 - 70 | ||
| 700 | 1 | |a Hahn, Atle |e Verfasser |4 aut | |
| 700 | 1 | |a Sengupta, Ambar |d 1963- |e Verfasser |0 (DE-588)120724952 |4 aut | |
| 830 | 0 | |a Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |v 58 |w (DE-604)BV014653850 |9 58 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010308682 | |
Record in the Search Index
| _version_ | 1811034385803116544 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
3
2
RIGOROUS
FEYNMAN
PATH
INTEGRALS
AND
PROBABILISTIC
FUNCTIONAL
INTEGRALS.
SOME
APPLICATIONS
TO
QUANTUM
THEORY
4
2.1
A
SHORT
REMINDER
OF
WIENER
INTEGRALS
AND
SOME
OF
THEIR
APPLI
CATIONS
TO
QUANTUM
THEORY
.
4
2.2
RIGOROUS
FEYNMAN
PATH
INTEGRALS
.
8
2.2.1
DEFINITION
AND
PROPERTIES
OF
MATHEMATICAL
FEYNMAN
PATH
INTEGRALS
.
8
2.2.2
AN
INFINITE
DIMENSIONAL
VERSION
OF
THE
STATIONARY
PHASE
METHOD
APPLIED
TO
A
MATHEMATICAL
REALIZATION
OF
FEYN
MAN
'
S
PATH
INTEGRALS
.
14
2.2.3
APPLICATIONS
TO
THE
SCHRODINGER
EQUATION
.
15
2.3
THE
WHITE
NOISE
ANALYSIS
FRAMEWORK
.
19
3
THE
PROBLEM
OF
GAUGE
FIELDS.
YANG-MILLS
THEORY
AND
CHERN-
SIMONS
THEORY
22
3.1
PRINCIPAL
BUNDLES
.
23
3.2
CONNECTION
.
24
3.3
PARALLEL
TRANSPORT
.
25
3.4
HOLONOMY
.
25
3.5
THE
SPACES
A
(P;
V)
.
26
3.6
CURVATURE
AND
COVARIANT
DERIVATIVES
.
26
3.7
GAUGE
TRANSFORMATIONS
.
27
3.8
THE
ACTION
OF
Q
ON
A
.
28
3.9
THE
YANG-MILLS
ACTION
.
28
3.10
YANG-MILLS
AS
A
DYNAMICAL
SYSTEM
.
29
3.11
LAGRANGIAN
TO
HAMILTONIAN
.
30
3.12
COMPARISON
WITH
YANG-MILLS
EQUATIONS
.
35
3.13
MOMENT
MAP
FOR
THE
GAUGE
GROUP
ACTION
.
35
3.14
THE
CHERN-SIMONS
ACTION
.
37
4
QUANTIZATION
OF
YANG-MILLS
AND
CHERN-SIMONS
MODELS
42
4.1
QUANTIZATION
OF
YANG-MILLS
MODELS
.
42
4.2
QUANTIZATION
OF
CHERN-SIMONS
MODELS
.
43
4.2.1
AXIAL
GAUGE
FIXING
FOR
CHERN-SIMONS
MODELS
ON
R
3
.
.
44
4.2.2
THE
CHERN-SIMONS
PATH
INTEGRAL
ON
R
3
IN
AXIAL
GAUGE
AS
A
GENERALIZED
DISTRIBUTION
.
45
4.2.3
LOOP-SMEARING
.
47
4.2.4
FRAMING
.
48
4.2.5
ADMISSIBLE
LINKS
AND
ADMISSIBLE
FRAMINGS
.
49
4.2.6
COMPUTATION
OF
THE
WLOS
.
51
4.2.7
EXAMPLES
.
54 |
| any_adam_object | 1 |
| author | Albeverio, Sergio 1939- Hahn, Atle Sengupta, Ambar 1963- |
| author_GND | (DE-588)121093999 (DE-588)120724952 |
| author_facet | Albeverio, Sergio 1939- Hahn, Atle Sengupta, Ambar 1963- |
| author_role | aut aut aut |
| author_sort | Albeverio, Sergio 1939- |
| author_variant | s a sa a h ah a s as |
| building | Verbundindex |
| bvnumber | BV017093259 |
| classification_rvk | SI 990 |
| ctrlnum | (OCoLC)634477599 (DE-599)BVBBV017093259 |
| discipline | Mathematik |
| edition | Als Ms. vervielfältigt |
| format | Book |
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| id | DE-604.BV017093259 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-24T00:16:19Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010308682 |
| oclc_num | 634477599 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | 70 S. 30 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | SFB 611 |
| record_format | marc |
| series | Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |
| series2 | Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |
| spelling | Albeverio, Sergio 1939- Verfasser (DE-588)121093999 aut Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] Als Ms. vervielfältigt Bonn SFB 611 2003 70 S. 30 cm txt rdacontent n rdamedia nc rdacarrier Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen 58 Literaturverz. S. 56 - 70 Hahn, Atle Verfasser aut Sengupta, Ambar 1963- Verfasser (DE-588)120724952 aut Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen 58 (DE-604)BV014653850 58 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010308682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Albeverio, Sergio 1939- Hahn, Atle Sengupta, Ambar 1963- Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |
| title | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_auth | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_exact_search | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_full | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| title_fullStr | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| title_full_unstemmed | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| title_short | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_sort | rigorous feynman path integrals with applications to quantum theory gauge fields and topological invariants |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010308682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014653850 |
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