English

Chiral Random Matrix Theory and Chiral Perturbation Theory

High Energy Physics - Phenomenology 2015-05-27 v1

Abstract

Spontaneous breaking of chiral symmetry in QCD has traditionally been inferred indirectly through low-energy theorems and comparison with experiments. Thanks to the understanding of an unexpected connection between chiral Random Matrix Theory and chiral Perturbation Theory, the spontaneous breaking of chiral symmetry in QCD can now be shown unequivocally from first principles and lattice simulations. In these lectures I give an introduction to the subject, starting with an elementary discussion of spontaneous breaking of global symmetries.

Keywords

Cite

@article{arxiv.1102.1295,
  title  = {Chiral Random Matrix Theory and Chiral Perturbation Theory},
  author = {P. H. Damgaard},
  journal= {arXiv preprint arXiv:1102.1295},
  year   = {2015}
}

Comments

Lectures given as mini-course at the XIV Mexican School on Particles and Fields 2010

R2 v1 2026-06-21T17:22:37.261Z