English

Topological excitations in statistical field theory at the upper critical dimension

Statistical Mechanics 2021-03-25 v2 High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics

Abstract

We present a high-precision Monte Carlo study of the classical Heisenberg model in four dimensions, showing that in the broken-symmetry phase it supports topological, monopole-like excitations, whose properties confirm previous analytical predictions derived in quantum field theory. We discuss the relevance of these findings and their possible experimental applications in condensed-matter physics.

Keywords

Cite

@article{arxiv.2012.12221,
  title  = {Topological excitations in statistical field theory at the upper critical dimension},
  author = {Marco Panero and Antonio Smecca},
  journal= {arXiv preprint arXiv:2012.12221},
  year   = {2021}
}

Comments

1+13 pages, 9 pdf figures; v2: typos corrected, version published in the journal