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Flattening of the quantum effective potential in fermionic theories

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arxiv 2312.01960 v1 pith:5G6YXSY6 submitted 2023-12-04 hep-lat hep-th

classification hep-lathep-th
keywords potentialfermionicflatregionbrokenchiralcondensatesconstraining
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Constraining fermionic condensates

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A large-volume approximant for the constrained fermionic path integral is derived and tested in the chiral Gross-Neveu model, showing the chiral condensate appears as the edge of a flat disk in the constraint potential.

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