Spectrum of the volume operator in quantum gravity

被引:74
作者
Loll, R [1 ]
机构
[1] MAX PLANCK INST GRAVITAT PHYS,D-14473 POTSDAM,GERMANY
关键词
D O I
10.1016/0550-3213(95)00627-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The volume operator is an important kinematical quantity in the non-perturbative approach to four-dimensional quantum gravity in the connection formulation. We give a general algorithm for computing its spectrum when acting on four-valent spin network states, evaluate some of the eigenvalue formulae explicitly, and discuss the role played by the Mandelstam constraints.
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页码:143 / 154
页数:12
相关论文
共 12 条
[1]  
ASHTEKAR A, 1995, COMMUNICATION
[2]  
BAEZ JB, IN PRESS P AMS SHORT
[3]   REALITY CONDITIONS AND ASHTEKAR VARIABLES - A DIFFERENT PERSPECTIVE [J].
BARBERO, JF .
PHYSICAL REVIEW D, 1995, 51 (10) :5498-5506
[4]   REAL ASHTEKAR VARIABLES FOR LORENTZIAN SIGNATURE SPACE-TIMES [J].
BARBERO, JF .
PHYSICAL REVIEW D, 1995, 51 (10) :5507-5510
[5]   HAMILTONIAN FORMULATION OF WILSONS LATTICE GAUGE THEORIES [J].
KOGUT, J ;
SUSSKIND, L .
PHYSICAL REVIEW D, 1975, 11 (02) :395-408
[6]   THE LATTICE GAUGE-THEORY APPROACH TO QUANTUM CHROMODYNAMICS [J].
KOGUT, JB .
REVIEWS OF MODERN PHYSICS, 1983, 55 (03) :775-836
[7]   VOLUME OPERATOR IN DISCRETIZED QUANTUM-GRAVITY [J].
LOLL, R .
PHYSICAL REVIEW LETTERS, 1995, 75 (17) :3048-3051
[8]   NONPERTURBATIVE SOLUTIONS FOR LATTICE QUANTUM-GRAVITY [J].
LOLL, R .
NUCLEAR PHYSICS B, 1995, 444 (03) :619-639
[9]   YANG-MILLS THEORY WITHOUT MANDELSTAM CONSTRAINTS [J].
LOLL, R .
NUCLEAR PHYSICS B, 1993, 400 (1-3) :126-144
[10]   INDEPENDENT SU(2)-LOOP VARIABLES AND THE REDUCED CONFIGURATION SPACE OF SU(2)-LATTICE GAUGE-THEORY [J].
LOLL, R .
NUCLEAR PHYSICS B, 1992, 368 (01) :121-142