zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Geometrical approaches to the quantization of gauge theories. (English) Zbl 1072.81053
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5--12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 111-130 (2004).
In BRST formalism, one needs a BRST invariant action to quantize a gauge theory. In Batalin-Vilkovisky formalism, a proper solution of classical master equation gives required action. On the other hand, it has been known that all the solutions of a classical master equation forms a $QP$-manifold -- a kind of supermanifolds. [{\it M. Alexandrov, M. Kontsevich, A Schwarz} and {\it O. Zaboronsky}, Int. J. Mod. Phys. A 12, 1405--1430 (1997; Zbl 1073.81655)]. In this paper, these materials are utilized after a short review. Indeed, a $QP$-manifold $ \prod T^*X\times\prod\frak{g} \times \frak{g}$ and the corresponding gauge invariant actions are discussed. For the entire collection see [Zbl 1048.53002].
81T70Quantization in field theory; cohomological methods
81T13Yang-Mills and other gauge theories
Full Text: Link