2022/01/06 by A Andrasi, Andrasi, A, J C Taylor +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Numerical methods for differential equations #hep-th
paper · pdf · doi:10.48550/arxiv.2201.02106
arxiv created 2022/01/06 · openalex publication_date 2022/01/06 · arxiv updated 2022/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.