Analytic continuation of functional renormalization group equations
High Energy Physics - Theory
2012-08-20 v2 Quantum Gases
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
Functional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with O(N) symmetry we discuss the analytic structure of the flowing action and show how it is possible to derive and solve flow equations for real-time properties such as propagator residues and particle decay widths. The formalism conserves space-time symmetries such as Lorentz or Galilei invariance and allows for improved, self-consistent approximations in terms of derivative expansions in Minkowski space.
Cite
@article{arxiv.1112.4374,
title = {Analytic continuation of functional renormalization group equations},
author = {Stefan Floerchinger},
journal= {arXiv preprint arXiv:1112.4374},
year = {2012}
}
Comments
32 pages, 5 figures, published version