Particles and fields:
Saved in:
| Format: | Book |
|---|---|
| Language: | German |
| Published: |
New York [u.a.]
Springer
1999
|
| Series: | CRM series in mathematical physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVI, 489 S. Ill., graph. Darst. |
| ISBN: | 038798402X |
Staff View
MARC
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| 245 | 1 | 0 | |a Particles and fields |c Gordon Semenoff ... (ed.) |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1999 | |
| 300 | |a XVI, 489 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a CRM series in mathematical physics | |
| 500 | |a Literaturangaben | ||
| 650 | 7 | |a Champs, Théorie quantique des |2 ram | |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | |5 DE-604 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008462303 | |
Record in the Search Index
| _version_ | 1807683520226656256 |
|---|---|
| adam_text |
CONTENTS
PREFACE
VII
LIST
OF
CONTRIBUTORS
XV
1
RECENT
DEVELOPMENTS
IN
AFFINE
TODA
QUANTUM
FIELD
THEORY
1
E.
CORRIGAN
1
INTRODUCTION
.
1
2
CLASSICAL
INTEGRABILITY
AND
CLASSICAL
DATA
.
3
2.1
GEOMETRY
ASSOCIATED
WITH
THE
COXETER
ELEMENT
.
8
3
ASPECTS
OF
THE
QUANTUM
FIELD
THEORY
.
13
4
DUAL
PAIRS
.
20
5
A
WORD
ON
SOLITONS
.
24
6
OTHER
MATTERS
.
29
7
REFERENCES
.
30
2
A
CLASS
OF
FERMI
LIQUIDS
35
J.
FELDMAN,
H.
KNORRER,
D.
LEHMANN,
AND
E.
TRUBOWITZ
1
INTRODUCTION
.
35
2
FOUR-LEGGED
DIAGRAMS
.
39
2.1
THE
PARTICLE-PARTICLE
BUBBLE
.
42
2.2
THE
PARTICLE-HOLE
BUBBLE
.
48
2.3
HIGHER-ORDER
DIAGRAMS
.
50
3
A
SINGLE-SLICE
FERMIONIC
CLUSTER
EXPANSION
.
52
4
REFERENCES
.
62
3
QUANTUM
GROUPS
FROM
PATH
INTEGRALS
63
DANIEL
S.
FREED
1
CLASSICAL
FIELD
THEORY
.
65
1.1
CLASSICAL
ACTIONS
.
65
1.2
THE
WESS-ZUMINO-WITTEN
ACTION
.
69
2
CATEGORIES,
FINITE
GROUPS,
AND
COVERING
SPACES
.
74
2.1
GOING
FURTHER
.
75
2.2
FINITE-GAUGE
THEORY
.
80
3
GENERALIZED
PATH
INTEGRALS
.
86
3.1
PATH
INTEGRAL
QUANTIZATION
.
86
X
CONTENTS
3.2
BEYOND
QUANTUM
HILBERT
SPACES
.
89
3.3
QUANTUM
FINITE-GAUGE
THEORY
.
91
4
THE
QUANTUM
GROUP
.
94
4.1
THE
2-HILBERT
SPACE
.
94
4.2
LOCALITY
AND
GLUING
.
98
5
REFERENCES
.
105
4
HALF
TRANSFER
MATRICES
IN
SOLVABLE
LATTICE
MODELS
109
TETSUJI
MIWA
1
THE
SIX-VERTEX
MODEL
.
109
2
THE
ANTIFERROMAGNETIC
REGIME
.
ILL
3
CORNER
TRANSFER
MATRIX
.
114
4
HALF
TRANSFER
MATRIX
.
116
5
COMMUTATION
RELATIONS
.
118
6
CORRELATION
FUNCTIONS
.
120
7
TWO-POINT
FUNCTIONS
.
122
8
DISCUSSION
.
124
9
REFERENCES
.
125
5
MATRIX
MODELS
AS
INTEGRABLE
SYSTEMS
127
A.
MOROZOV
1
INTRODUCTION
.
127
2
THE
BASIC
EXAMPLE:
DISCRETE
1-MATRIX
MODEL
.
129
2.1
WARD
IDENTITIES
.
130
2.2
CFT
INTERPRETATION
OF
1-MATRIX
MODEL
.
133
2.3
1-MATRIX
MODEL
IN
EIGENVALUE
REPRESENTATION
.
140
2.4
KONTSEVICH-LIKE
REPRESENTATION
OF
THE
1-MATRIX
MODEL
.
.
142
3
GENERALIZED
KONTSEVICH
MODEL
.
143
3.1
KONTSEVICH
INTEGRAL.
THE
FIRST
STEP
.
143
3.2
ITZYKSON-ZUBER
INTEGRAL
AND
DUISTERMAAT-HECKMANN
THEOREM
.
144
3.3
KONTSEVICH
INTEGRAL.
THE
SECOND
STEP
.
145
3.4
"
PHASES
"
OF
KONTSEVICH
INTEGRAL.
GKM
AS
THE
"
QUANTUM
PIECE
"
OF
7V{L}
IN
THE
KONTSEVICH
PHASE
.
146
3.5
RELATION
BETWEEN
TIME
AND
POTENTIAL-DEPENDENCIES
.
.
.
149
3.6
KAC-SCHWARZ
PROBLEM
.
150
3.7
WARD
IDENTITIES
FOR
GKM
.
151
4
KP/TODA
R-FUNCTION
IN
TERMS
OF
FREE
FERMIONS
.
162
4.1
EXPLICIT
DEFINITION
.
163
4.2
BASIC
DETERMINANT
FORMULA
FOR
THE
FREE-FERMION
CORRELATOR
165
4.3
KP
HIERARCHY
AND
OTHER
REDUCTIONS
.
169
4.4
FERMION
CORRELATOR
IN
MIWA
COORDINATES
.
173
4.5
1-MATRIX
MODEL
VERSUS
TODA-CHAIN
HIERARCHY
.
179
5
R-FUNCTION
AS
A
GROUP-THEORETICAL
QUANTITY
.
184
5.1
FROM
INTERTWINING
OPERATORS
TO
BILINEAR
EQUATIONS
.
185
CONTENTS
XI
5.2
THE
CASE
OF
KP/TODA
R-FUNCTIONS
.
187
5.3
EXAMPLE
OF
SL(2)
Q
.
193
5.4
COMMENTS
ON
THE
QUANTUM
DEFORMATION
OF
KP/TODA
R-FUNCTIONS
.
198
6
CONCLUSION
.
203
7
REFERENCES
.
204
6
LOCALIZATION,
EQUIVARIANT
COHOMOLOGY,
AND
INTEGRATION
FORMULAS
211
ANTTI
J.
NIEMI
1
SYMPLECTIC
GEOMETRY
.
213
2
EQUIVARIANT
COHOMOLOGY
.
215
3
DUISTERMAAT-HECKMAN
INTEGRATION
FORMULA
.
216
4
DEGENERACIES
.
221
5
EQUIVARIANT
CHARACTERISTIC
CLASSES
.
222
6
LOOP
SPACE
.
223
7
EXAMPLE:
ATIYAH-SINGER
INDEX
THEOREM
.
225
8
DUISTERMAAT-HECKMAN
IN
LOOP
SPACE
.
228
9
GENERAL
INTEGRABLE
MODELS
.
231
10
MATHAI-QUILLEN
FORMALISM
.
233
11
SHORT
REVIEW
OF
MORSE
THEORY
.
235
12
EQUIVARIANT
MATHAI-QUILLEN
FORMALISM
.
236
13
EQUIVARIANT
MORSE
THEORY
.
238
14
LOOP
SPACE
AND
MORSE
THEORY
.
240
15
LOOP
SPACE
AND
EQUIVARIANT
MORSE
THEORY
.
242
16
POINCARE
SUPERSYMMETRY
AND
EQUIVARIANT
COHOMOLOGY
.
244
17
REFERENCES
.
248
7
SYSTEMS
OF
CALOGERO-MOSER
TYPE
251
S.
N.
M.
RUIJSENAARS
1
INTRODUCTION
.
251
2
CLASSICAL
NONRELATIVISTIC
CALOGERO-MOSER
AND
TODA
SYSTEMS
.
258
2.1
BACKGROUND:
CLASSICAL
MECHANICS/SYMPLECTIC
GEOMETRY
.
258
2.2
CALOGERO-MOSER
SYSTEMS
.
266
2.3
TODA
SYSTEMS
.
276
3
RELATIVISTIC
VERSIONS
AT
THE
CLASSICAL
LEVEL
.
280
3.1
THE
DEFINING
DYNAMICS
AND
ITS
COMMUTING
INTEGRALS
.
.
.
280
3.2
LAX
MATRICES
AND
THEIR
INTERRELATIONSHIPS
.
288
4
QUANTUM
CALOGERO-MOSER
AND
TODA
SYSTEMS
.
294
4.1
BACKGROUND:
QUANTUM
MECHANICS/HILBERT
SPACE
THEORY
.
294
4.2
THE
NONRELATIVISTIC
CASE:
COMMUTING
PDOS
.
302
4.3
THE
RELATIVISTIC
CASE:
COMMUTING
AAOS
.
307
5
ACTION-ANGLE
TRANSFORMS
.
314
5.1
INTRODUCTORY
EXAMPLES
.
314
5.2
WAVE
MAPS
AND
PURE
SOLITON
SYSTEMS
.
319
XII
CONTENTS
5.3
SYSTEMS
OF
TYPE
I,
II,
AND
III
.
321
6
EIGENFUNCTION
TRANSFORMS
.
331
6.1
PRELIMINARIES
.
331
6.2
TYPE
III
EIGENFUNCTIONS
FOR
ARBITRARY
N
.
334
6.3
TYPE
II
AND
IV
EIGENFUNCTIONS
FOR
N
=
2
.
341
7
REFERENCES
.
348
8
DISCRETE
GAUGE
THEORIES
353
MARK
DE
WILD
PROPITIUS
AND
F.
ALEXANDER
BAIS
1
BROKEN
SYMMETRY
REVISITED
.
353
2
BASICS
.
360
2.1
INTRODUCTION
.
360
2.2
BRAID
GROUPS
.
361
2.3
ZJY
GAUGE
THEORY
.
364
2.4
NON-ABELIAN
DISCRETE
GAUGE
THEORIES
.
380
3
ALGEBRAIC
STRUCTURE
.
395
3.1
QUANTUM
DOUBLE
.
396
3.2
TRUNCATED
BRAID
GROUPS
.
401
3.3
FUSION,
SPIN,
BRAID
STATISTICS,
AND
ALL
THAT
.
403
4
D2
GAUGE
THEORY
.
408
4.1
ALICE
IN
PHYSICS
.
409
YY
4.2
SCATTERING
DOUBLET
CHARGES
OFF
ALICE
FLUXES
.
415
4.3
NON-ABELIAN
BRAID
STATISTICS
.
418
4.4
AHARONOV-BOHM
SCATTERING
.
423
4.5
B(3,4)
AND
P(3,4)
.
426
5
CONCLUDING
REMARKS
AND
OUTLOOK
.
429
6
REFERENCES
.
431
9
QUANTUM
HALL
FLUIDS
AS
WI
+OO
MINIMAL
MODELS
441
ANDREA
CAPPELLI,
CARLO
A.
TRUGENBERGER,
AND
GUILLERMO
R.
ZEMBA
1
INTRODUCTION
.
441
2
DYNAMICAL
SYMMETRY
AND
KINEMATICS
OF
INCOMPRESSIBLE
FLUIDS
442
2.1
CLASSICAL
FLUIDS
.
442
2.2
QUANTUM
FLUIDS
AND
THEIR
EDGE
EXCITATIONS
.
444
2.3
CLASSIFICATION
OF
QHE
UNIVERSALITY
CLASSES
.
447
3
EXISTING
THEORIES
OF
EDGE
EXCITATIONS
AND
EXPERIMENTS
.
.
.
447
3.1
HIERARCHICAL
TRIAL
WAVE
FUNCTIONS
.
448
3.2
THE
CHIRAL
BOSON
THEORY
OF
THE
EDGE
EXCITATIONS
.
448
3.3
THE
JAIN
HIERARCHY
.
452
3.4
EXPERIMENTS
.
453
4
W
1+OO
MINIMAL
MODELS
.
456
4.1
THE
THEORY
OF
WI
+OO
REPRESENTATIONS
.
456
4.2
THE
WI
+
OO
MINIMAL
MODELS
.
457
4.3
NON-ABELIAN
FUSION
RULES
AND
NON-ABELIAN
STATISTICS
.
.
459
4.4
THE
DEGENERACY
OF
EXCITATIONS
ABOVE
THE
GROUND
STATE
.
460
CONTENTS
XIII
4.5
REMARKS
ON
THE
SU(M)
AND
SU(M)
1
SYMMETRIES
.
463
5
FURTHER
DEVELOPMENTS
.
463
6
REFERENCES
.
464
10
ON
THE
SPECTRAL
THEORY
OF
QUANTUM
VERTEX
OPERATORS
469
PAVEL
I.
ETINGOF
1
BASIC
DEFINITIONS
.
469
1.1
QUANTUM
GROUPS
.
469
1.2
REPRESENTATIONS
.
470
1.3
VERTEX
OPERATORS
.
470
1.4
THE
FOCK
SPACE
YY
YY
-
.
470
1.5
BOSONIZATION
OF
U
G
(SL2)
.
471
1.6
BOSONIZATION
OF
VERTEX
OPERATORS
.
472
1.7
BOSON-FERMION
CORRESPONDENCE
.
472
2
SPECTRAL
PROPERTIES
OF
VERTEX
OPERATORS
.
473
2.1
VERTEX
OPERATORS
AS
POWER
SERIES
IN
Q
.
473
2.2
COMPOSITION
OF
VERTEX
OPERATORS
.
474
2.3
THE
OPERATORS
F
+
_(0)
AND
F_
+
(0)
.
474
2.4
THE
HIGHEST
EIGENVALUE
OF
F
+
(Q),
F
+
_(Q)
.
476
3
THE
SEMI-INFINITE
TENSOR
PRODUCT
CONSTRUCTION
.
478
3.1
THE
KYOTO
CONJECTURE
.
478
3.2
THE
KYOTO
HOMOMORPHISM
.
479
4
COMPUTATION
OF
THE
LEADING
EIGENVALUE
AND
EIGENVECTOR
.
.
.
480
5
REFERENCES
.
484
INDEX
487 |
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV012469212 |
| classification_rvk | UO 4000 |
| ctrlnum | (OCoLC)468435459 (DE-599)BVBBV012469212 |
| dewey-full | 539.143 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.143 |
| dewey-search | 539.143 |
| dewey-sort | 3539.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| genre | (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV012469212 |
| illustrated | Illustrated |
| indexdate | 2024-08-18T00:35:44Z |
| institution | BVB |
| isbn | 038798402X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008462303 |
| oclc_num | 468435459 |
| open_access_boolean | |
| owner | DE-703 DE-634 |
| owner_facet | DE-703 DE-634 |
| physical | XVI, 489 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series2 | CRM series in mathematical physics |
| spelling | Particles and fields Gordon Semenoff ... (ed.) New York [u.a.] Springer 1999 XVI, 489 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier CRM series in mathematical physics Literaturangaben Champs, Théorie quantique des ram Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Semenoff, Gordon Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008462303&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Particles and fields Champs, Théorie quantique des ram Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4143413-4 |
| title | Particles and fields |
| title_auth | Particles and fields |
| title_exact_search | Particles and fields |
| title_full | Particles and fields Gordon Semenoff ... (ed.) |
| title_fullStr | Particles and fields Gordon Semenoff ... (ed.) |
| title_full_unstemmed | Particles and fields Gordon Semenoff ... (ed.) |
| title_short | Particles and fields |
| title_sort | particles and fields |
| topic | Champs, Théorie quantique des ram Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Champs, Théorie quantique des Quantenfeldtheorie Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008462303&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT semenoffgordon particlesandfields |