Quantum mass correction for the twisted kink

Abstract

We present an analytic result for the 1-loop quantum mass correction in semiclassical quantization for the twisted ϕ^4 kink on S^1 without explicit knowledge of the fluctuation spectrum. For this purpose we use the contour integral representation of the spectral zeta function. By solving the Bethe ansatz equations for the n=2 Lame equation we obtain an analytic expression for the corresponding spectral discriminant. We discuss the renormalization issues of this model. An energetically preferred size for the compact space is finally obtained.

18 pages, 2 figures;v2:references and discussion added, typos corrected

References in corpus (6)

• Dark Energy and Stabilization of Extra Dimensions
• Computation of determinants using contour integrals
• Metastable Kinks in the Orbifold
• Thermal Operator Representation of Finite Temperature Graphs II
• Elliptic Faulhaber polynomials and Lamé densities of states
• Existence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions

Cited by in corpus (6)

• Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
• $CP$ phase from twisted Higgs vacuum expectation value in extra dimension
• Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
• Quantum corrections to static solutions of Nahm equation and Sin-Gordon models via generalized zeta-function
• Topological Defects in Quantum Field Theory with Matrix Product States
• Quantum Properties of Periodic Instantons on a Circle