Gradient-flowed order parameter for spontaneous gauge symmetry breaking

Autor: Kengo Kikuchi, Kenji Nishiwaki, Kin-ya Oda
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 83, Iss 6, Pp 1-22 (2023)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-023-11553-4
Popis: 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.
Databáze: Directory of Open Access Journals
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