Classical and quantum aspects of the extended antifield formalism

Abstract

Starting from a solution to the classical Batalin-Vilkovisky master equation,an extended solution to an extended master equation is constructed by coupling all the observables, the anomaly candidates and the generators of global symmetries. The construction of the formalism and its applications in the context of the renormalization of generic and potentially anomalous gauge theories are reviewed.

arXiv comment94 pages Latex file. These d'agregation ULB (June 2000). Proceedings of the Spring School "QFT and Hamiltonian Systems", Calimanesti, Romania, May 2-7, 2000

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Cited by in corpus (5)

• Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
• A Poincare lemma for sigma models of AKSZ type
• Characteristic classes of Q-manifolds: classification and applications
• Introduction to Classical Gauge Field Theory and to Batalin-Vilkovisky Quantization
• The $L_{\infty }$-algebra of the S-matrix