Heat kernels and zeta-function regularization for the mass of the supersymmetric kink

Abstract

We apply zeta-function regularization to the kink and susy kink and compute its quantum mass. We fix ambiguities by the renormalization condition that the quantum mass vanishes as one lets the mass gap tend to infinity while keeping scattering data fixed. As an alternative we write the regulated sum over zero point energies in terms of the heat kernel and apply standard heat kernel subtractions. Finally we discuss to what extent these procedures are equivalent to the usual renormalization conditions that tadpoles vanish.

20 pages, v2: a reference added; v3: corrections to match the published version

References in corpus (5)

• New Developments in the Casimir Effect
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
• Generalized Zeta Functions and One-loop Corrections to Quantum Kink Masses
• Mode regularization of the susy sphaleron and kink: zero modes and discrete gauge symmetry
• Boundary dynamics and multiple reflection expansion for Robin boundary conditions

Cited by in corpus (52)

• Heat kernel expansion: user's manual
• Nonsmooth backgrounds in quantum field theory
• Calculating Casimir Energies in Renormalizable Quantum Field Theory
• Consistent Boundary Conditions for Open Strings
• Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation
• Quantum corrections to the mass of the supersymmetric vortex
• One-loop correction to classical masses of quantum kink families
• Consistent boundary conditions for supergravity
• Fermionic Vacuum Energy from a Nielsen-Olesen Vortex
• Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions
• Quantum oscillations of self-dual Abrikosov-Nielsen-Olesen vortices
• On the Vacuum energy of a Color Magnetic Vortex
• Heat kernel, effective action and anomalies in noncommutative theories
• On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
• One-loop kink mass shifts: a computational approach
• Quantum-induced interactions in the moduli space of degenerate BPS domain walls
• Spontaneous Symmetry Breaking and Reflectionless Scattering Data
• Space-time non-commutativity tends to create bound states
• Topological anomalies from the path integral measure in superspace
• One loop corrections to the mass of self-dual semi-local planar topological solitons
• Quantum corrections to the noncommutative kink
• Casimir Energy for a Coupled Fermion-Kink System and its stability
• On space-time noncommutative theories at finite temperature
• Induced vacuum energy-momentum tensor in the background of a d-2 - brane in d+1 - dimensional space-time
• Quantum mass correction for the twisted kink
• Kink fluctuation asymptotics and zero modes
• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• An Investigation of the Casimir Energy for a Fermion Coupled to the Sine-Gordon Soliton with Parity Decomposition
• Quantum corrections to static solutions of Nahm equation and Sin-Gordon models via generalized zeta-function
• Physics-to-gauge conversion at black hole horizons
• A Note on Quantum Compactons
• Quantum fluctuations around low-dimensional topological defects
• Boundary Terms in Supergravity and Supersymmetry
• One-loop mass shift formula for kinks and self-dual vortices
• Quantum aspects of a noncommutative supersymmetric kink
• Comment on `One Loop Renormalization of Soliton Quantum Mass Corrections in 1+1 Dimensional Scalar Field Theory Models' (Phys. Lett. B542 (2002) 282 [hep-th/0206047])
• One-loop fluctuations of semi-local self-dual vortices
• One-loop quantum correction to the mass of the supersymmetric Kink in (1 + 1) dimensions using the exact spectra and the phase shifts
• Quantum corrections to vortex masses and energies
• A note on one-loop soliton quantum mass corrections
• A supersymmetric exotic field theory in (1+1) dimensions. One loop soliton quantum mass corrections
• Analytical computation of quantum corrections to non-topological soliton (bright soliton) within the saddle-point approximation
• On the nature of the anomalies in the supersymmetric kink
• Quantum corrections to the mass of self-dual vortices
• One-loop quantum cosmological correction to the gravitational constant using the kink solution in de Sitter universe
• On quantum corrections to dislocations mass
• Vacuum Energy of Quantum Fields in Classical Background Configurations
• Vacuum Polarization and Casimir Energy of a Dirac Field Induced by a Scalar Potential in One Spatial Dimension
• Quantum corrections to phi^4 model solutions and applications to Heisenberg chain dynamics
• Soliton Fermionic number from the heat kernel expansion
• One-loop quantum cosmological correction to the gravitational constant in the closed Friedmann-Robertson-Walker universe
• Domain Walls, The Extended Superconformal Algebra, and The Supercurrent