English

The semiclassical energy density of kinks and solitons

High Energy Physics - Theory 2023-03-06 v3 General Relativity and Quantum Cosmology

Abstract

We compute semiclassical corrections to the energy density of kinks in ϕ4\phi^4 theory and of solitons in the sine-Gordon model in 1+11+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+11+1 dimension.

Keywords

Cite

@article{arxiv.2204.08785,
  title  = {The semiclassical energy density of kinks and solitons},
  author = {Maria Angeles Alberti Martin and Robert Schlesier and Jochen Zahn},
  journal= {arXiv preprint arXiv:2204.08785},
  year   = {2023}
}

Comments

20 pages; Mathematica notebooks containing the relevant calculations as ancillary files; v3: final version