Main Image
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Schwinger-Keldysh formalism for Lattice Gauge Theories
H. Hoshina,* H. Fujii, Y. Kikukawa
*corresponding author
Full text: pdf
Pre-published on: 2020 January 16
Published on:
Abstract
We formulate the Schwinger-Keldysh formalism of lattice gauge theories by constructing the appropriate unitary transfer matrices in the forward and backward real-time directions for gauge- link and Wilson-Dirac fields. We can then define spectral functions at a finite lattice spacing and also formulate the linear response theory. For a real scalar field in the weak-coupling limit, the two-point Green’s function on closed time lattice path was derived analytically and the spectral function was examined numerically. The result is consistent with the continuum theory.
Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.