• Corpus ID: 7440172

An introduction to the Batalin-Vilkovisky formalism

@article{Fiorenza2004AnIT,
  title={An introduction to the Batalin-Vilkovisky formalism},
  author={Domenico Fiorenza},
  journal={arXiv: Quantum Algebra},
  year={2004}
}
  • D. Fiorenza
  • Published 4 February 2004
  • Mathematics
  • arXiv: Quantum Algebra
The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbar\Delta S=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical master equation $\{S,S\}=0$ with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered. 

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References

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The Geometry of the Master Equation and Topological Quantum Field Theory

In Batalin–Vilkovisky formalism, a classical mechanical system is specified by means of a solution to the classical master equation. Geometrically, such a solution can be considered as a QP-manifold,

Geometry of Batalin-Vilkovisky quantization

The geometry ofP-manifolds (odd symplectic manifolds) andSP-manifolds (P-manifolds provided with a volume element) is studied. A complete classification of these manifolds is given. This

Gauge Algebra and Quantization

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