LOSS OF COHERENCE IN MULTIDIMENSIONAL MINISUPERSPACES

被引:13
作者
GANGUI, A [1 ]
MAZZITELLI, FD [1 ]
CASTAGNINO, MA [1 ]
机构
[1] UNIV BUENOS AIRES,FAC CIENCIAS EXACTAS & NAT,DEPT FIS,RA-1428 BUENOS AIRES,ARGENTINA
来源
PHYSICAL REVIEW D | 1991年 / 43卷 / 06期
关键词
D O I
10.1103/PhysRevD.43.1853
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the semiclassical limit of quantum gravity, solutions to the Wheeler-DeWitt equation involve several WKB components. In order to reach the adequate classical limit these contributions should not interfere. We show here that this is in general the case. We work with a general minisuperspace model with perturbations and we construct the reduced density matrix rho approximately (g(A),g'(A)) by tracing out all the nonrelevant modes of the environment. It turns out that not only are the off-diagonal terms of rho approximately (g(A),g'(A)) strongly suppressed but the quantum contributions to rho approximately (g(A),g(A)) due to interference between different semiclassical solutions also vanish. As an example we discuss the particular case of the Kantowski-Sachs cosmological model.
引用
收藏
页码:1853 / 1858
页数:6
相关论文
共 13 条
[1]  
Birrell N. D., 1982, Quantum fields in curved space
[2]   DECOHERENCE AND PARTICLE CREATION [J].
CALZETTA, E ;
MAZZITELLI, FD .
PHYSICAL REVIEW D, 1990, 42 (12) :4066-4069
[3]   CORRELATIONS IN THE WAVE-FUNCTION OF THE UNIVERSE [J].
HALLIWELL, JJ .
PHYSICAL REVIEW D, 1987, 36 (12) :3626-3640
[4]   DECOHERENCE IN QUANTUM COSMOLOGY [J].
HALLIWELL, JJ .
PHYSICAL REVIEW D, 1989, 39 (10) :2912-2923
[5]   WAVEFUNCTION OF THE UNIVERSE [J].
HARTLE, JB ;
HAWKING, SW .
PHYSICAL REVIEW D, 1983, 28 (12) :2960-2975
[6]   THE EMERGENCE OF CLASSICAL PROPERTIES THROUGH INTERACTION WITH THE ENVIRONMENT [J].
JOOS, E ;
ZEH, HD .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 59 (02) :223-243
[7]   CONTINUOUS MEASUREMENT OF MINI-SUPERSPACE VARIABLES BY HIGHER MULTIPOLES [J].
KIEFER, C .
CLASSICAL AND QUANTUM GRAVITY, 1987, 4 (05) :1369-1382
[8]   ON THE VILENKIN BOUNDARY-CONDITION PROPOSAL IN ANISOTROPIC UNIVERSES [J].
LOUKO, J ;
VACHASPATI, T .
PHYSICS LETTERS B, 1989, 223 (01) :21-25
[9]   FATE OF SINGULARITIES IN BIANCHI TYPE-III QUANTUM COSMOLOGY [J].
LOUKO, J .
PHYSICAL REVIEW D, 1987, 35 (12) :3760-3767
[10]   DECOHERENCE IN THE DENSITY-MATRIX DESCRIBING QUANTUM 3-GEOMETRIES AND THE EMERGENCE OF CLASSICAL SPACETIME [J].
PADMANABHAN, T .
PHYSICAL REVIEW D, 1989, 39 (10) :2924-2932