A Symmetry Breaking Scenario for QCD$_3$
Abstract
We consider the dynamics of 2+1 dimensional gauge theory with Chern-Simons level and fundamental fermions. By requiring consistency with previously suggested dualities for as well as the dynamics at we propose that the theory with breaks the global symmetry spontaneously to . In contrast to the 3+1 dimensional case, the symmetry breaking takes place in a range of quark masses and not just at one point. The target space never becomes parametrically large and the Nambu-Goldstone bosons are therefore not visible semi-classically. Such symmetry breaking is argued to take place in some intermediate range of the number of flavors, , with the upper limit obeying various constraints. The Lagrangian for the Nambu-Goldstone bosons has to be supplemented by nontrivial Wess-Zumino terms that are necessary for the consistency of the picture, even at . Furthermore, we suggest two scalar dual theories in this range of . A similar picture is developed for and gauge theories. It sheds new light on monopole condensation and confinement in the and theories.
Cite
@article{arxiv.1706.08755,
title = {A Symmetry Breaking Scenario for QCD$_3$},
author = {Zohar Komargodski and Nathan Seiberg},
journal= {arXiv preprint arXiv:1706.08755},
year = {2018}
}
Comments
25 pages, 6 figures. v2 added references, minor corrections, new material about symmetry breaking in U(1) gauge theories