Generalized zeta functions and one-loop corrections to quantum kink masses

DOI10.1016/S0550-3213(02)00341-3zbMath0996.81042arXivhep-th/0201084OpenAlexW3097993879MaRDI QIDQ1605014

R. Smith

Publication date: 10 July 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0201084

zbMATH Keywords

regularizationpolynomial self-interactionssemi-classical (1+1)-dimensional field-theory model limit

Mathematics Subject Classification ID

Model quantum field theories (81T10)

Related Items (16)

Domain walls in a non-linear \( {\mathbb{S}}^2 \)-sigma model with homogeneous quartic polynomial potential ⋮ Emerging translational variance: vacuum polarization energy of the \(\phi^6\) kink ⋮ Green function diagonal for a class of heat equations ⋮ A note on one-loop soliton quantum mass corrections ⋮ Kink dynamics in a system of two coupled scalar fields in two space-time dimensions ⋮ One-loop corrections to classical masses of kink families ⋮ One-loop kink mass shifts: A computational approach ⋮ One-loop corrections to the mass of self-dual semi-local planar topological solitons ⋮ ONE-LOOP QUANTUM COSMOLOGICAL CORRECTION TO THE GRAVITATIONAL CONSTANT IN THE CLOSED FRIEDMANN–ROBERTSON–WALKER UNIVERSE ⋮ On domain walls in a Ginzburg-Landau non-linear \(\mathbb{S}^{2}\)-sigma model ⋮ On a family of \((1+1)\)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts ⋮ ONE-LOOP QUANTUM COSMOLOGICAL CORRECTION TO THE GRAVITATIONAL CONSTANT USING THE KINK SOLUTION IN DE SITTER UNIVERSE ⋮ Vacuum polarization energy for general backgrounds in one space dimension ⋮ Quantum corrections to static solutions of the sine-Gordon and Nahm models via a generalized zeta function ⋮ STABILITY EQUATION AND TWO-COMPONENT EIGENMODE FOR DOMAIN WALLS IN A SCALAR POTENTIAL MODEL ⋮ Semi-classical mass of quantum \(k\)-component topological kinks

Cites Work

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• Zero modes, boundary conditions and anomalies on the lattice and in the continuum
• Stationary phase approximation and quantum soliton families
• Bidimensional supersymmetric field theories with discrete moduli space
• Topological boundary conditions, the BPS bound, and elimination of ambiguities in the quantum mass of solitons
• Kinks from dynamical systems: domain walls in a deformedO(N) linear sigma model
• On the families of orthogonal polynomials associated to the Razavy potential

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