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

Authors
BARVINSKY AO GUSEV YV VILKOVISKY GA ZHYTNIKOV VV
Citation
Ao. Barvinsky et al., THE BASIS OF NONLOCAL CURVATURE INVARIANTS IN QUANTUM-GRAVITY THEORY - 3RD-ORDER, Journal of mathematical physics, 35(7), 1994, pp. 3525-3542
Citations number
36
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
7
Year of publication
1994
Pages
3525 - 3542
Database
ISI
SICI code
0022-2488(1994)35:7<3525:TBONCI>2.0.ZU;2-E
Abstract
A complete basis of nonlocal invariants in quantum gravity theory is b uilt to third order in space-time curvature and matter-field strengths . The nonlocal identities are obtained which reduce this basis for man ifolds with dimensionality 2omega<6. The present results are used in h eat-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 pr oblem.