Associativity and Operator Hamiltonian Quantization of Gauge Theories
Quantum Algebra
2007-05-23 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that the associative algebra structure can be incorporated in the BRST quantization formalism for gauge theories such that extension from the corresponding Lie algebra to the associative algebra is achieved using operator quantization of reducible gauge theories. The BRST differential that encodes the associativity of the algebra multiplication is constructed as a second-order quadratic differential operator on the bar resolution.
Keywords
Cite
@article{arxiv.math/0301136,
title = {Associativity and Operator Hamiltonian Quantization of Gauge Theories},
author = {I. A. Batalin and A. M. Semikhatov},
journal= {arXiv preprint arXiv:math/0301136},
year = {2007}
}
Comments
amsart++, xy, sidecap, times. 34pp. V2: similar to (a slight expansion of) the version in Theoretical and Mathematical Physics 136 (2003) 1189--1211