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arXiv · 2403.08677

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

Noah Graham·Herbert Weigel
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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.

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Noah Graham, Herbert Weigel. 2024-03-13. One-Loop Quantum Stress-Energy Tensor for the Kink and sine-Gordon Solitons. https://doi.org/10.1016/j.physletb.2024.138638

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