Discrete symmetries of functional determinants

Citation
Dv. Vassilevich et A. Zelnikov, Discrete symmetries of functional determinants, NUCL PHYS B, 594(1-2), 2001, pp. 501-517
Citations number
52
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
0550-3213 → ACNP
Volume
594
Issue
1-2
Year of publication
2001
Pages
501 - 517
Database
ISI
SICI code
0550-3213(20010129)594:1-2<501:DSOFD>2.0.ZU;2-Q
Abstract
We study discrete (duality) symmetries of functional determinants. An exact transformation of the effective action under the inversion of background f ields beta (x) --> beta (-1)(x) is found. We show that in many cases this i nversion does not change functional determinants. Explicitly studied models include a matrix theory in two dimensions, the dilaton Maxwell theory in f our dimensions on manifolds without a boundary, and a two-dimensional dilat on theory on manifolds with boundaries. Our results provide an exact relati on between strong and weak coupling regimes with possible applications to s tring theory, black hole physics and dimensionally reduced models. (C) 2001 Elsevier Science B.V, All rights reserved.