https://doi.org/10.1140/epjc/s10052-012-2170-3
Regular Article - Theoretical Physics
Kink fluctuation asymptotics and zero modes
1
Departamento de Matematica Aplicada and IUFFyM, Universidad de Salamanca, Salamanca, Spain
2
Departamento de Fisica Fundamental and IUFFyM, Universidad de Salamanca, Salamanca, Spain
* e-mail: alonsoiz@usal.es
Received:
3
July
2012
Revised:
27
August
2012
Published online:
3
October
2012
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012