Constraining fermionic condensates
High Energy Physics - Lattice
2024-12-18 v1
Abstract
We study spontaneous symmetry breaking in quantum field theories with fermionic order parameters and construct, for the first time in the literature, the constraint effective potential for it. The Grassmann-valued constraint we encounter is handled using its large-volume expansion, corresponding to a saddle-point approximation. We test the method in the chiral Gross-Neveu model and demonstrate its consistency with the standard approach. The machinery we developed opens up a new avenue to investigate the spontaneous symmetry breaking and restoration in field theories, in particular for the chiral symmetry breaking in the strong interactions.
Keywords
Cite
@article{arxiv.2412.12973,
title = {Constraining fermionic condensates},
author = {Gergely Endrődi and Tamás G. Kovács and Gergely Markó and Laurin Pannullo},
journal= {arXiv preprint arXiv:2412.12973},
year = {2024}
}
Comments
16 pages, 9 figures, 2 pages Appendix & references