Flattening of the quantum effective potential in fermionic theories

Abstract

We present methods to constrain fermionic condensates on the level of the path integral, which grant access to the quantum effective potential in the infinite volume limit. In the case of a spontaneously broken symmetry, this potential possesses a manifestly flat region, which is inaccessible to the standard approach on the lattice. However, by constraining the appropriate order parameters such as the chiral condensate, one is then able to probe the flat region. We demonstrate our method of constraining fermionic condensates in the 2-dimensional Gross-Neveu model, which exhibits a spontaneously broken chiral symmetry. We show how the potential flattens for increasing volume and that the flat region is dominated by inhomogeneous field configurations.

Comments: 8 pages, 4 figures, contains ancillary files with plot data; talk given at the 40th International Symposium on Lattice Field theory (LATTICE 2023) at Fermilab; July 31 - August 4 2023