English

Compact fields and mass generation

High Energy Physics - Lattice 2016-09-01 v1 Condensed Matter High Energy Physics - Theory

Abstract

It is shown that the free propagator of an angular, i.e. compact, field with zero lagrangian mass acquires a nonzero propagator mass ω\omega (`kinematical' mass generation). To demonstrate this effect the free propagator of the goldstone boson in an O(2) model with spontaneous symmetry breaking is calculated. It is shown that this propagator is massive, the mass ω\omega being a function of the scalar `condensate' ϕˉ{\bar\phi}.

Cite

@article{arxiv.hep-lat/0004026,
  title  = {Compact fields and mass generation},
  author = {V. K. Mitrjushkin},
  journal= {arXiv preprint arXiv:hep-lat/0004026},
  year   = {2016}
}

Comments

9 pages and 2 Postscript figures

R2 v1 2026-07-22T13:11:01.429Z