New term in effective field theory at fixed topology
High Energy Physics - Lattice
2021-01-13 v2 Disordered Systems and Neural Networks
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The corresponding effective theory for fixed index of the Wilson Dirac operator is derived to next to leading order. It reveals a new term proportional to the topological index of the Wilson Dirac operator and the lattice spacing. The new term appears naturally in a fixed index spurion analysis. The spurion approach reveals that the term is the first in a new family of such terms and that equivalent terms are relevant for the effective theory of continuum QCD.
Keywords
Cite
@article{arxiv.2004.10420,
title = {New term in effective field theory at fixed topology},
author = {M. Kieburg and M. Lauritzen and B. T. Søgaard and K. Splittorff},
journal= {arXiv preprint arXiv:2004.10420},
year = {2021}
}
Comments
22 pages, 2 figures, version to appear in PRD