GENERAL-SOLUTION TO THE QUANTUM MASTER EQUATION IN THE FINITE-DIMENSIONAL CASE

Citation
Ia. Batalin et Iv. Tyutin, GENERAL-SOLUTION TO THE QUANTUM MASTER EQUATION IN THE FINITE-DIMENSIONAL CASE, Theoretical and mathematical physics, 114(2), 1998, pp. 198-214
Citations number
13
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
114
Issue
2
Year of publication
1998
Pages
198 - 214
Database
ISI
SICI code
0040-5779(1998)114:2<198:GTTQME>2.0.ZU;2-Z
Abstract
The general solution to the quantum master equation (and its Sp(2) sym metric counterpart) is explicitly constructed in the case of a finite number of variables. it is shown that the finite-dimensional solution is physically trivial and, therefore, cannot be directly extended to a local field theory. Thus, the locality condition is important in obta ining nontrivial physical results when quantizing gauge field theories in the field-antifield formalism.