Published July 2010 | Version v1
Journal article Metadata-only

On Batalin-Vilkovisky formalism of non-commutative field theories

Creators

  • 1. Masaryk University, Institute for Theoretical Physics and Astrophysics, Brno (Czech Republic)
  • 2. University of Vienna, Department of Physics, Vienna (Austria)

Description

We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As one example we apply the formalism to the Connes-Lott two-point model. Finally, we offer a derivation of a superversion of the Harish-Chandra-Itzykson-Zuber integral. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-010-1323-5

Additional details

Identifiers

DOI
10.1140/epjc/s10052-010-1323-5;

Publishing Information

Journal Title
European Physical Journal. C
Journal Volume
68
Journal Issue
1-2
Journal Page Range
p. 313-324
ISSN
1434-6044

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
41100329
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ACTION INTEGRAL; ALGEBRA; ALGEBRAIC FIELD THEORY; COMMUTATION RELATIONS; DIFFERENTIAL CALCULUS; GAUGE INVARIANCE; HERMITIAN MATRIX; LAGRANGIAN FIELD THEORY; SPACE-TIME; UNIFIED GAUGE MODELS
Descriptors DEC
AXIOMATIC FIELD THEORY; FIELD THEORIES; INTEGRALS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICS; MATRICES; PARTICLE MODELS; QUANTUM FIELD THEORY