Details

Autor(en) / Beteiligte

• Komargodski, Zohar
• Seiberg, Nathan

Titel

A symmetry breaking scenario for QCD3

Ist Teil von

• The journal of high energy physics, 2018-01, Vol.2018 (1), p.1-24, Article 109

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2018

Link zum Volltext

Quelle

EZB Free E-Journals

Beschreibungen/Notizen

• A bstract We consider the dynamics of 2+1 dimensional SU( N ) gauge theory with Chern-Simons level k and N f fundamental fermions. By requiring consistency with previously suggested dualities for N f ≤ 2 k as well as the dynamics at k = 0 we propose that the theory with N f > 2 k breaks the U( N f ) global symmetry spontaneously to U( N f / 2 + k ) × U( N f / 2 − k ). 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, 2 k < N f < N ∗ ( N, k ), with the upper limit N ∗ 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 k = 0. Furthermore, we suggest two scalar dual theories in this range of N f . A similar picture is developed for SO( N ) and Sp( N ) gauge theories. It sheds new light on monopole condensation and confinement in the SO( N ) & Spin( N ) theories.