A symmetry breaking scenario for QCD3
Abstract
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)more »
- Authors:
-
- Weizmann Inst. of Science, Rehovot (Israel). Dept. of Particle Physics and Astrophysics; Stony Brook Univ., NY (United States). Simons Center for Geometry and Physics
- Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
- Publication Date:
- Research Org.:
- Institute 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. https://doi.org/10.1007/jhep01(2018)109
Komargodski, Zohar, and Seiberg, Nathan. Tue .
"A symmetry breaking scenario for QCD3". United States. https://doi.org/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 = {Tue Jan 23 00:00:00 EST 2018},
month = {Tue Jan 23 00:00:00 EST 2018}
}
Web of Science
Figures / Tables:
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