THE BASIS OF NONLOCAL CURVATURE INVARIANTS IN QUANTUM-GRAVITY THEORY - 3RD-ORDER

被引：64

作者：

BARVINSKY, AO

GUSEV, YV

VILKOVISKY, GA

ZHYTNIKOV, VV

机构：

[1] MOSCOW NUCL SAFETY INST,MOSCOW 113191,RUSSIA

[2] PN LEBEDEV PHYS INST,MOSCOW 117924,RUSSIA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 07期

关键词：

D O I：

10.1063/1.530427

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A complete basis of nonlocal invariants in quantum gravity theory is built to third order in space-time curvature and matter-field strengths. The nonlocal identities are obtained which reduce this basis for manifolds with dimensionality 2omega<6. The present results are used in heat-kernel theory, theory of gauge fields and serve as a basis for the model-independent approach to quantum gravity and, in particular, for the study of nonlocal vacuum effects in the gravitational collapse problem.

引用

页码：3525 / 3542

页数：18

共 35 条

[1] BARNVINSKY AO, 1994, J MATH PHYS, V35, P3543
[2] COVARIANT PERTURBATION-THEORY .3. SPECTRAL REPRESENTATIONS OF THE 3RD-ORDER FORM-FACTORS
BARVINSKY, AO
VILKOVISKY, GA
[J]. NUCLEAR PHYSICS B, 1990, 333 (02) : 512 - 524
[3] COVARIANT PERTURBATION-THEORY .2. 2ND-ORDER IN THE CURVATURE - GENERAL ALGORITHMS
BARVINSKY, AO
VILKOVISKY, GA
[J]. NUCLEAR PHYSICS B, 1990, 333 (02) : 471 - 511
[4] BEYOND THE SCHWINGER-DEWITT TECHNIQUE - CONVERTING LOOPS INTO TREES AND IN-IN CURRENTS
BARVINSKY, AO
VILKOVISKY, GA
[J]. NUCLEAR PHYSICS B, 1987, 282 (01) : 163 - 188
[5] BARVINSKY AO, 1987, QUANTUM FIELD THEORY, V1, P245
[6] BARVINSKY AO, 1993, COVARIANT PERTURBATI, V4
[7] QUANTUM ELECTRODYNAMICS IN CURVED SPACE-TIME
BUCHBINDER, IL
FRADKIN, ES
GITMAN, DM
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1981, 29 (05): : 187 - 218
[8] CLOSED-TIME-PATH FUNCTIONAL FORMALISM IN CURVED SPACETIME - APPLICATION TO COSMOLOGICAL BACK-REACTION PROBLEMS
CALZETTA, E
HU, BL
[J]. PHYSICAL REVIEW D, 1987, 35 (02): : 495 - 509
[9] NONLOCAL CONFORMAL ANOMALIES
DESER, S
DUFF, MJ
ISHAM, CJ
[J]. NUCLEAR PHYSICS B, 1976, 111 (01) : 45 - 55
[10] DESER S, BRX343 BRAND PREPR

← 1 2 3 4 →