English

The Ground State of the Sine-Gordon Soliton

High Energy Physics - Theory 2020-08-26 v1

Abstract

At one loop, we provide an explicit formula for the ground state of the one-soliton sector in the Sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional ϕ4\phi^4 double well.

Keywords

Cite

@article{arxiv.2003.11384,
  title  = {The Ground State of the Sine-Gordon Soliton},
  author = {Jarah Evslin},
  journal= {arXiv preprint arXiv:2003.11384},
  year   = {2020}
}

Comments

9 pages, no figures