Euclidean Quantum Gravity on Manifolds with BoundarySpringer Science & Business Media, 31 mar 1997 - 322 páginas This book reflects our own struggle to understand the semiclassical behaviour of quantized fields in the presence of boundaries. Along many years, motivated by the problems of quantum cosmology and quantum field theory, we have studied in detail the one-loop properties of massless spin-l/2 fields, Euclidean Maxwell the ory, gravitino potentials and Euclidean quantum gravity. Hence our book begins with a review of the physical and mathematical motivations for studying physical theories in the presence of boundaries, with emphasis on electrostatics, vacuum v Maxwell theory and quantum cosmology. We then study the Feynman propagator in Minkowski space-time and in curved space-time. In the latter case, the corre sponding Schwinger-DeWitt asymptotic expansion is given. The following chapters are devoted to the standard theory of the effective action and the geometric im provement due to Vilkovisky, the manifestly covariant quantization of gauge fields, zeta-function regularization in mathematics and in quantum field theory, and the problem of boundary conditions in one-loop quantum theory. For this purpose, we study in detail Dirichlet, Neumann and Robin boundary conditions for scalar fields, local and non-local boundary conditions for massless spin-l/2 fields, mixed boundary conditions for gauge fields and gravitation. This is the content of Part I. Part II presents our investigations of Euclidean Maxwell theory, simple super gravity and Euclidean quantum gravity. |
Índice
III | 2 |
IV | 3 |
V | 5 |
VI | 9 |
VII | 16 |
VIII | 34 |
IX | 38 |
X | 39 |
XLIII | 173 |
XLIV | 176 |
XLV | 184 |
XLVI | 191 |
XLVII | 194 |
XLVIII | 198 |
XLIX | 203 |
L | 206 |
XI | 42 |
XII | 44 |
XIII | 48 |
XIV | 51 |
XV | 52 |
XVI | 58 |
XVII | 66 |
XVIII | 80 |
XIX | 81 |
XX | 85 |
XXI | 90 |
XXII | 96 |
XXIII | 102 |
XXIV | 106 |
XXV | 107 |
XXVI | 110 |
XXVII | 111 |
XXVIII | 115 |
XXIX | 122 |
XXX | 124 |
XXXI | 125 |
XXXII | 131 |
XXXIII | 132 |
XXXIV | 134 |
XXXV | 140 |
XXXVI | 152 |
XXXVII | 155 |
XXXVIII | 159 |
XXXIX | 160 |
XL | 161 |
XLI | 164 |
XLII | 168 |
LI | 211 |
LII | 214 |
LIII | 215 |
LIV | 218 |
LV | 219 |
LVI | 225 |
LVII | 230 |
LVIII | 234 |
LIX | 240 |
LX | 242 |
LXI | 245 |
LXII | 249 |
LXIII | 251 |
LXIV | 252 |
LXV | 255 |
LXVI | 262 |
LXVII | 269 |
LXVIII | 271 |
LXIX | 275 |
LXX | 276 |
LXXI | 278 |
LXXII | 281 |
LXXIII | 283 |
LXXIV | 287 |
LXXV | 290 |
LXXVI | 295 |
LXXVII | 296 |
LXXVIII | 297 |
299 | |
317 | |
Otras ediciones - Ver todo
Euclidean Quantum Gravity on Manifolds with Boundary Giampiero Esposito,A.Yu. Kamenshchik,G. Pollifrone Vista previa restringida - 2012 |
Euclidean Quantum Gravity on Manifolds with Boundary Maria Rosaria D'Esposito,A.Yu. Kamenshchik,G. Pollifrone No hay ninguna vista previa disponible - 2012 |
Términos y frases comunes
analysis asymptotic expansion axial gauge background Barvinsky Bessel functions BRST calculation classical coefficient contribution corresponding covariant D'Eath decoupled defined derivatives DeWitt Dirac operator Dirichlet effective action eigenvalue eigenvalue condition elliptic operator Esposito 1994a Euclidean quantum gravity evaluate Faddeev-Popov fermionic Feynman finds flat Euclidean four-space four-geometries gauge conditions gauge fields gauge modes gauge theory gauge transformations gauge-averaging functional gauge-invariant ghost fields ghost modes gravitino Green's functions Hawking heat kernel Hence Ilog invariant Ipole ISBN Kamenshchik Laplace linear Lorentzian magnetic manifold massless metric perturbations mixed boundary conditions Moreover normal obtained one-loop divergence parameter path integral Phys potential problem quantization quantum amplitudes quantum cosmology quantum field theory quantum theory result Riemannian scalar field set to zero solution space-time spectral boundary conditions spinor supergravity supersymmetry tensor three-sphere three-sphere boundaries transverse-traceless uniform asymptotic expansions vanish vector Vilkovisky wave function zeta-function
Referencias a este libro
Trends in Mathematical Physics: Proceedings of the Conference on Trends in ... Vasilios Alexiades,George Siopsis No hay ninguna vista previa disponible - 1999 |