We compute the renormalized one-loop quantum corrections to the energy density and pressure for solitons in the 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 and the known correction to the total energy.

中文翻译：

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扭结孤子和正弦戈登孤子的单环量子应力-能量张量

我们计算了维度标量正弦戈登和扭结模型中孤子能量密度和压力的重整化单环量子校正。我们展示了维度正则化中反项的精确实现如何解决先前确定的积分与总能量的已知校正之间的差异。