Gradient-flowed order parameter for spontaneous gauge symmetry breaking

Autor:	Kikuchi, Kengo, Nishiwaki, Kenji, Oda, Kin-ya
Rok vydání:	2023
Předmět:	High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology
Zdroj:	The European Physical Journal C volume 83, Article number: 462 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1140/epjc/s10052-023-11553-4
Popis:	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. Comment: 37 pages, 2 figures, minor changes, published version on EPJC
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.10841 Zobrazit plný text záznamu View this record from Arxiv