OPERATOR ORDERING IN THEORIES SUBJECT TO CONSTRAINTS OF THE GRAVITATIONAL TYPE

被引:19
作者
BARVINSKY, AO [1 ]
机构
[1] ACAD SCI,INST NUCL SAFETY,MOSCOW 113191,RUSSIA
关键词
D O I
10.1088/0264-9381/10/10/006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Covariant operator realization of Dirac constraints is proposed in theories of the gravitational type, subject to Hamiltonian and momentum constraints. This realization is based on their metric and Killing configuration-space structures, has Hermitian conjugation properties following from the BFV quantization method and generalizes to the level of the exact theory (apart from the problem of the ultraviolet regularization and anomalies) the recently proposed semiclassical algorithms in models with arbitrary first-class constraints.
引用
收藏
页码:1985 / 1999
页数:15
相关论文
共 31 条
[1]   FACTOR SEQUENCES IN QUANTIZED GENERAL RELATIVITY [J].
ANDERSON, JL .
PHYSICAL REVIEW, 1959, 114 (04) :1182-1184
[2]   THE GENERAL SEMICLASSICAL SOLUTION OF THE WHEELER-DEWITT EQUATIONS AND THE ISSUE OF UNITARITY IN QUANTUM COSMOLOGY [J].
BARVINSKY, AO .
PHYSICS LETTERS B, 1990, 241 (02) :201-206
[3]   QUANTUM GEOMETRODYNAMICS - THE PATH INTEGRAL AND THE INITIAL-VALUE PROBLEM FOR THE WAVE-FUNCTION OF THE UNIVERSE [J].
BARVINSKY, AO ;
PONOMARIOV, VN .
PHYSICS LETTERS B, 1986, 167 (03) :289-294
[4]   DIRAC AND BFV QUANTIZATION METHODS IN THE 1-LOOP APPROXIMATION - CLOSURE OF THE QUANTUM CONSTRAINT ALGEBRA AND THE CONSERVED INNER-PRODUCT [J].
BARVINSKY, AO ;
KRYKHTIN, V .
CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (10) :1957-1984
[5]   1-LOOP QUANTUM COSMOLOGY - THE NORMALISABILITY OF THE HARTLE-HAWKING WAVE-FUNCTION AND THE PROBABILITY OF INFLATION [J].
BARVINSKY, AO ;
KAMENSHCHIK, AY .
CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (08) :L181-L186
[6]  
BARVINSKY AO, IN PRESS PHYS REP
[7]  
BARVINSKY AO, 1991, IN PRESS 1ST P INT A
[8]  
BATALIN IA, 1988, ANN I H POINCARE-PHY, V49, P145
[9]   OPERATOR QUANTIZATION AND ABELIZATION OF DYNAMIC-SYSTEMS SUBJECT TO 1ST-CLASS CONSTRAINTS [J].
BATALIN, IA ;
FRADKIN, ES .
RIVISTA DEL NUOVO CIMENTO, 1986, 9 (10) :1-48
[10]   WHY THERE IS NOTHING RATHER THAN SOMETHING - A THEORY OF THE COSMOLOGICAL CONSTANT [J].
COLEMAN, S .
NUCLEAR PHYSICS B, 1988, 310 (3-4) :643-668