Loops, Knots, Gauge Theories and Quantum Gravity

Portada
Cambridge University Press, 3 jul 2000 - 321 páginas
Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. The book begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories, as well as lattice techniques. The authors then discuss applications in quantum gravity in detail. Following chapters consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.
 

Índice

III
1
IV
3
V
7
VI
8
VII
10
VIII
17
IX
21
X
25
LXVI
164
LXVII
168
LXVIII
169
LXIX
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LXX
172
LXXI
173
LXXII
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LXXIII
175

XI
27
XII
29
XIII
30
XIV
32
XV
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XVI
36
XVII
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XIX
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XX
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XXI
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XXII
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XXIII
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XXIV
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XXV
56
XXVI
58
XXVII
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XXVIII
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XXIX
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XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
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XXXVIII
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XXXIX
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XL
96
XLI
103
XLIII
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XLIV
109
XLV
112
XLVI
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XLVII
115
XLVIII
118
L
121
LI
124
LII
130
LIII
131
LIV
133
LVI
136
LVII
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LVIII
141
LIX
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LX
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LXI
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LXII
150
LXIII
156
LXIV
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LXV
161
LXXIV
179
LXXV
180
LXXVI
185
LXXVII
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LXXVIII
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LXXIX
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LXXX
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LXXXI
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LXXXIII
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LXXXIV
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LXXXV
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LXXXVI
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LXXXVII
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LXXXVIII
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XC
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XCI
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XCII
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XCIII
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XCIV
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XCV
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XCVI
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XCVII
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XCVIII
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XCIX
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C
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CI
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CII
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CIII
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CIV
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CV
260
CVII
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CIX
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CX
272
CXI
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CXII
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CXIII
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CXIV
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CXV
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CXVI
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CXVII
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CXVIII
289
CXIX
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CXX
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CXXI
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CXXII
300
CXXIII
302
CXXIV
304
CXXV
309
CXXVI
319
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