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Title: A symmetry breaking scenario for QCD 3

Abstract

We consider the dynamics of 2+1 dimensional SU(N) gauge theory with Chern-Simons level k and N ƒ fundamental fermions. By requiring consistency with previously suggested dualities for N ƒ ≤ 2k as well as the dynamics at k = 0 we propose that the theory with N f > 2k breaks the U(N f ) global symmetry spontaneously to U(N ƒ/2 + k) × U(N ƒ/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, 2k < N ƒ < 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 ƒ. A similar picture is developed for SO(N) and Sp(N) gauge theories. It sheds new light on monopolemore » condensation and confinement in the SO(N) & Spin(N) theories.« less

Authors:
 [1];  [2]
  1. Weizmann Inst. of Science, Rehovot (Israel). Dept. of Particle Physics and Astrophysics; Stony Brook Univ., NY (United States). Simons Center for Geometry and Physics
  2. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Publication Date:
Research Org.:
Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1502465
Grant/Contract Number:  
SC0009988
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chern-Simons Theories, Duality in Gauge Field Theories, Global Symmetries, Anomalies in Field and String Theories

Citation Formats

Komargodski, Zohar, and Seiberg, Nathan. A symmetry breaking scenario for QCD3. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)109.
Komargodski, Zohar, & Seiberg, Nathan. A symmetry breaking scenario for QCD3. United States. doi:10.1007/jhep01(2018)109.
Komargodski, Zohar, and Seiberg, Nathan. Tue . "A symmetry breaking scenario for QCD3". United States. doi:10.1007/jhep01(2018)109. https://www.osti.gov/servlets/purl/1502465.
@article{osti_1502465,
title = {A symmetry breaking scenario for QCD3},
author = {Komargodski, Zohar and Seiberg, Nathan},
abstractNote = {We consider the dynamics of 2+1 dimensional SU(N) gauge theory with Chern-Simons level k and Nƒ fundamental fermions. By requiring consistency with previously suggested dualities for Nƒ ≤ 2k as well as the dynamics at k = 0 we propose that the theory with N f > 2k breaks the U(N f ) global symmetry spontaneously to U(Nƒ/2 + k) × U(Nƒ/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, 2k < Nƒ < 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 Nƒ. 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.},
doi = {10.1007/jhep01(2018)109},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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