Loops, Knots, Gauge Theories and Quantum GravityCambridge 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 | 171 |
LXX | 172 |
LXXI | 173 |
LXXII | 174 |
LXXIII | 175 |
XI | 27 |
XII | 29 |
XIII | 30 |
XIV | 32 |
XV | 33 |
XVI | 36 |
XVII | 38 |
XIX | 42 |
XX | 44 |
XXI | 47 |
XXII | 50 |
XXIII | 52 |
XXIV | 54 |
XXV | 56 |
XXVI | 58 |
XXVII | 61 |
XXVIII | 63 |
XXIX | 64 |
XXX | 67 |
XXXI | 72 |
XXXII | 76 |
XXXIII | 80 |
XXXIV | 85 |
XXXV | 87 |
XXXVI | 88 |
XXXVIII | 89 |
XXXIX | 92 |
XL | 96 |
XLI | 103 |
XLIII | 105 |
XLIV | 109 |
XLV | 112 |
XLVI | 113 |
XLVII | 115 |
XLVIII | 118 |
L | 121 |
LI | 124 |
LII | 130 |
LIII | 131 |
LIV | 133 |
LVI | 136 |
LVII | 138 |
LVIII | 141 |
LIX | 144 |
LX | 145 |
LXI | 147 |
LXII | 150 |
LXIII | 156 |
LXIV | 159 |
LXV | 161 |
LXXIV | 179 |
LXXV | 180 |
LXXVI | 185 |
LXXVII | 187 |
LXXVIII | 188 |
LXXIX | 189 |
LXXX | 192 |
LXXXI | 196 |
LXXXIII | 197 |
LXXXIV | 201 |
LXXXV | 208 |
LXXXVI | 209 |
LXXXVII | 215 |
LXXXVIII | 218 |
XC | 220 |
XCI | 221 |
XCII | 222 |
XCIII | 228 |
XCIV | 230 |
XCV | 237 |
XCVI | 238 |
XCVII | 239 |
XCVIII | 242 |
XCIX | 243 |
C | 245 |
CI | 249 |
CII | 251 |
CIII | 253 |
CIV | 254 |
CV | 260 |
CVII | 264 |
CIX | 265 |
CX | 272 |
CXI | 274 |
CXII | 275 |
CXIII | 277 |
CXIV | 280 |
CXV | 281 |
CXVI | 283 |
CXVII | 285 |
CXVIII | 289 |
CXIX | 291 |
CXX | 292 |
CXXI | 294 |
CXXII | 300 |
CXXIII | 302 |
CXXIV | 304 |
309 | |
319 | |
Otras ediciones - Ver todo
Loops, Knots, Gauge Theories and Quantum Gravity Rodolfo Gambini,Jorge Pullin No hay ninguna vista previa disponible - 2023 |
Loops, Knots, Gauge Theories, and Quantum Gravity Rodolfo Gambini,Jorge Pullin No hay ninguna vista previa disponible - 1996 |
Términos y frases comunes
Abelian action Ashtekar associated basepoint braid group canonical classical compute connection representation consider construct covariant curves defined definition dependent diffeomorphism constraint diffeomorphism invariant differential constraint Dirac discussed electric field elements equation expectation value expression extended loops extended representation factor ordering fermions field theories formulation functions of loops Gambini gauge group gauge invariant gauge theories gauge transformations Gauss law given group of loops Hamiltonian constraint holonomy inner product integral intersections Jones polynomial Kauffman bracket knot invariants knot theory lattice linear linking number loop derivative loop representation loop space loop transform Mandelstam identities matrix Maxwell theory metric multitangents multitensor non-Abelian non-trivial Notice open paths operator parameter particular Phys physical plaquette Poisson bracket quantities quantization quantum gravity regularization result Rovelli satisfy skein relations smooth solution spacetime spatial spinors SU(N techniques tensor terms of loops tion usual vacuum vanishes variables vector wavefunctions Wilson loop Yang-Mills theories
Referencias a este libro
The Structural Foundations of Quantum Gravity Dean Rickles,Steven French,Juha T. Saatsi No hay ninguna vista previa disponible - 2006 |
Graphs and Patterns in Mathematics and Theoretical Physics: Proceedings of ... Mikhail Lyubich,Leon Armenovich Takhtadzhi︠a︡n No hay ninguna vista previa disponible |