24-26 June 2019
Bunkyo School Building, Tokyo Campus, University of Tsukuba
Japan timezone

Schwinger-Keldysh formalism for Lattice Gauge Theories

26 Jun 2019, 17:10
25m
134 (Bunkyo School Building, Tokyo Campus, University of Tsukuba)

134

Bunkyo School Building, Tokyo Campus, University of Tsukuba

3-29-1 Otsuka Bunkyo-ku Tokyo 112-0012 Japan
Oral talk Session 12

Speaker

Mr Hiroki Hoshina (The Univ. of Tokyo, Komaba)

Description

It is important to compute transport coefficients in QCD at finite temperature and density. When the imaginary-time formalism of Lattice QCD is used, the spectral functions have to be reconstructed by supplementing certain Ansatze for correlation functions on the lattice. On the other hand, real-time Green's functions can be obtained directly in the Schwinger-Keldysh (SK) formalism. But the SK formalism has not been constructed so far for QCD non-perturbatively. In this work we formulate the SK formalism for Lattice QCD by constructing the transfer matrix in the direction of real time for gauge link field and Wilson fermion. We examine the spectral functions and other real-time Green's functions in weak gauge-coupling limit. We also obtain the Kubo formulae in this framework as a summation of the real-time Green's functions on the closed time path.

Primary author

Mr Hiroki Hoshina (The Univ. of Tokyo, Komaba)

Presentation Materials