We compute the renormalized one-loop quantum corrections to the energy density T₀₀(x) and pressure T₁₁(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 T₀₀(x) and the known correction to the total energy.
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Graham et al. (2024) studied this question.
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