One-Loop Quantum Stress-Energy Tensor for the Kink and sine-Gordon Solitons

Abstract

We compute the renormalized one-loop quantum corrections to the energy density $T_{00}(x)$ and pressure $T_{11}(x)$ for solitons in the $1+1$ dimensional scalar sine-Gordon and kink models. We show how precise implementation of counterterms in dimensional regularization resolves previously identified discrepancies between the integral of $T_{00}(x)$ and the known correction to the total energy.

10 pages, 2 figures; v2: minor edits to match journal version; v3: correct grant number

References in corpus (2)

• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• The semiclassical energy density of kinks and solitons

Cited by in corpus (1)

• Renormalized Quantum Stress-Energy Tensor of a Nonzero Radius Cosmic String