Vacuum polarization energy for general backgrounds in one space dimension

2016/12/28 by H. Weigel · 27 citations
Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #Dimension (graph theory) #Nonlinear system #Physics #Polarization (electrochemistry) #QED vacuum #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum fluctuation #Quantum mechanics #Soliton #Theoretical physics #Vacuum energy #Vacuum polarization #hep-ph #hep-th #nlin.PS

paper · pdf · doi:10.1016/j.physletb.2016.12.055

published in Physics Letters B 766, 65-70 (Elsevier BV) · Eight pages, corrections from proof-reading implemented

openalex publication_date 2016/12/28 · arxiv created 2017/01/12 · arxiv updated 2017/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For field theories in one time and one space dimensions we propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti-symmetric channels. The method also applies to scenarios in which the masses of the quantum fluctuations at positive and negative spatial infinity are different. As an example we compute the vacuum polarization energy of the kink soliton in the ϕ6 model. We link the dependence of this energy on the position of the soliton to the different masses.

Citations

• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations
• Scattering in one dimension: The coupled Schrödinger equation, threshold behaviour and Levinson’s theorem

Cited by

• Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes