English

Kink fluctuation asymptotics and zero modes

High Energy Physics - Theory 2015-06-05 v2 Mathematical Physics math.MP

Abstract

In this paper we propose a refinement of the heat kernel/zeta function treatment of kink quantum fluctuations in scalar field theory, further analyzing the existence and implications of a zero energy fluctuation mode. Improved understanding of the interplay between zero modes and the kink heat kernel expansion delivers asymptotic estimations of one-loop kink mass shifts with remarkably higher precision than previously obtained by means of the standard Gilkey-DeWitt heat kernel expansion.

Keywords

Cite

@article{arxiv.1207.0942,
  title  = {Kink fluctuation asymptotics and zero modes},
  author = {Alberto Alonso-Izquierdo and Juan Mateos-Guilarte},
  journal= {arXiv preprint arXiv:1207.0942},
  year   = {2015}
}

Comments

21 pages, 8 figures, to be published in The European Physical Journal C

R2 v1 2026-06-21T21:30:19.777Z