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arXiv · 2201.02106

Generating functions for anti-canonical transformations in the Zinn-Justin and Batalin and Vilkoviski formalisms

A Andrasi·J C Taylor
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Abstract

Quantization of gauge fields by the BRST method requires sources in addition to fields, and a bilinear anti-bracket defined in terms of them. This bracket is a sort of generalization of a Poisson bracket in classical mechanics. Canonical transformations are also generalized as anti-canonical transformations. In this paper, we take the analogy with classical mechanics one step further, by showing how anti-canonical transformations can be derived from generating functions. We give an example relevant to the renormalization of QCD in the Hamiltonian formalism.

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A Andrasi, J C Taylor. 2022-01-06. Generating functions for anti-canonical transformations in the Zinn-Justin and Batalin and Vilkoviski formalisms. https://arxiv.org/abs/2201.02106

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