Gradient-flowed order parameter for spontaneous gauge symmetry breaking
High Energy Physics - Theory
2023-06-14 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
The gauge-invariant two-point function of the Higgs field at the same spacetime point can make a natural gauge-invariant order parameter for spontaneous gauge symmetry breaking. However, this composite operator is ultraviolet divergent and is not well defined. We propose using a gradient flow to cure the divergence from putting the fields at the same spacetime point. As a first step, we compute it for the Abelian Higgs model with a positive mass squared at the one-loop order in the continuum theory using the saddle-point method to estimate the finite part. The order parameter consistently goes to zero in the infrared limit of the infinite flow time.
Cite
@article{arxiv.2303.10841,
title = {Gradient-flowed order parameter for spontaneous gauge symmetry breaking},
author = {Kengo Kikuchi and Kenji Nishiwaki and Kin-ya Oda},
journal= {arXiv preprint arXiv:2303.10841},
year = {2023}
}
Comments
37 pages, 2 figures, minor changes, published version on EPJC