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arxiv: 1207.0942 · v2 · pith:YHEQSY4Znew · submitted 2012-07-04 · ✦ hep-th · math-ph· math.MP

Kink fluctuation asymptotics and zero modes

classification ✦ hep-th math-phmath.MP
keywords kinkheatkernelzeroexpansionfluctuationmodesanalyzing
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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.

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