Wigner–Weyl formalism and the propagator of Wilson fermions in the presence of varying external electromagnetic field

We develop Wigner–Weyl formalism for the lattice models. For the definiteness we consider Wilson fermions in the presence of U(1) gauge field. The given technique reduces calculation of the two point fermionic Green function to solution of the Groenewold equation. It relates Wigner transformation of...

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Bibliographic Details
Main Authors: M. Suleymanov, M.A. Zubkov
Format: Article
Language:English
Published: Elsevier 2019-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318303171