REDUCTION METHODS FOR FUNCTIONAL DETERMINANTS IN QUANTUM-GRAVITY AND COSMOLOGY

被引:17
作者
BARVINSKY, AO
机构
[1] Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton
来源
PHYSICAL REVIEW D | 1994年 / 50卷 / 08期
关键词
D O I
10.1103/PhysRevD.50.5115
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The reduction algorithms for functional determinants of differential operators on spacetime manifolds of different topological types are presented, which were recently used for the calculation of the no-boundary wave function and the partition function of tunneling geometries in quantum gravity and cosmology.
引用
收藏
页码:5115 / 5124
页数:10
相关论文
共 30 条
[21]   COMPLEX NUMBERS, QUANTUM-MECHANICS AND THE BEGINNING OF TIME [J].
GIBBONS, GW ;
POHLE, HJ .
NUCLEAR PHYSICS B, 1993, 410 (01) :117-142
[22]   ORIGIN OF STRUCTURE IN THE UNIVERSE [J].
HALLIWELL, JJ ;
HAWKING, SW .
PHYSICAL REVIEW D, 1985, 31 (08) :1777-1791
[23]   FERMIONS IN ONE-LOOP QUANTUM COSMOLOGY .2. THE PROBLEM OF CORRESPONDENCE BETWEEN COVARIANT AND NONCOVARIANT FORMALISMS [J].
KAMENSHCHIK, AY ;
MISHAKOV, IV .
PHYSICAL REVIEW D, 1994, 49 (02) :816-824
[24]   ZETA-FUNCTION TECHNIQUE FOR QUANTUM COSMOLOGY - THE CONTRIBUTIONS OF MATTER FIELDS TO THE HARTLE-HAWKING WAVE-FUNCTION OF THE UNIVERSE [J].
KAMENSHCHIK, AY ;
MISHAKOV, IV .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (16) :3713-3746
[25]   FERMIONS IN ONE-LOOP QUANTUM COSMOLOGY [J].
KAMENSHCHIK, AY ;
MISHAKOV, IV .
PHYSICAL REVIEW D, 1993, 47 (04) :1380-1390
[26]   THE EUCLIDEAN VACUUM - JUSTIFICATION FROM QUANTUM COSMOLOGY [J].
LAFLAMME, R .
PHYSICS LETTERS B, 1987, 198 (02) :156-160
[27]  
Olver F. W. J., 1974, INTRO ASYMPTOTICS SP
[28]   SEMICLASSICAL WAVE-FUNCTION OF THE UNIVERSE AT SMALL 3-GEOMETRIES [J].
SCHLEICH, K .
PHYSICAL REVIEW D, 1985, 32 (08) :1889-1898
[29]   UNIQUENESS OF THE TUNNELING WAVE-FUNCTION OF THE UNIVERSE [J].
VACHASPATI, T ;
VILENKIN, A .
PHYSICAL REVIEW D, 1988, 37 (04) :898-903
[30]   QUANTUM COSMOLOGICAL PERTURBATIONS IN PURE GRAVITY [J].
WADA, S .
NUCLEAR PHYSICS B, 1986, 276 (3-4) :729-743