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arXiv · 2204.08785

The semiclassical energy density of kinks and solitons

Maria Angeles Alberti Martin·Robert Schlesier·Jochen Zahn
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Abstract

We compute semiclassical corrections to the energy density of kinks in $\phi^4$ theory and of solitons in the sine-Gordon model in $1+1$ dimensions, using local and covariant renormalization techniques from quantum field theory in curved spacetimes. For the semiclassical correction to the energy, we recover the known results. Our analysis highlights a subtlety in the definition of a conserved stress tensor for scalar field theories in $1+1$ dimension.

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Maria Angeles Alberti Martin, Robert Schlesier, Jochen Zahn. 2022-04-19. The semiclassical energy density of kinks and solitons. https://doi.org/10.1103/physrevd.107.065002

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