Some exact results in chiral gauge theories

Csaba Csáki; Hitoshi Murayama; Ofri Telem

doi:10.1103/PhysRevD.104.065018

Some exact results in chiral gauge theories

Csaba Csáki, Hitoshi Murayama, Ofri Telem

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We analyze dynamics of chiral gauge theories based on the gauge group with one antisymmetric tensor and () antifundamentals when is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global symmetry is spontaneously broken to . There are massless fermions as a fundamental representation of , and another massless fermion, together saturating the anomaly matching conditions. When is even, the unbroken flavor symmetry is while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.

Original language	American English
Article number	065018
Journal	Physical Review D
Volume	104
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.104.065018
State	Published - 15 Sep 2021
Externally published	Yes

Bibliographical note

Funding Information:
National Science Foundation United States-Israel Binational Science Foundation U.S. Department of Energy Japan Society for the Promotion of Science Ministry of Education, Culture, Sports, Science and Technology World Premier International Research Center Initiative Hamamatsu Photonics K.K.

Funding Information:
We thank Yuri Shirman for careful reading of the manuscript and useful comments. C. C. is supported in part by the NSF Grant No. PHY-2014071 as well as the US-Israeli BSF Grant No. 2016153. We also thank Jacob Leedom for pointing out typos. O. T. and H. M. were supported in part by the DOE under Grant No. DE-AC02-05CH11231. H. M. was also supported in part by the NSF Grant No. PHY-1915314, by the JSPS Grant-in-Aid for Scientific Research JP20K03942, MEXT Grant-in-Aid for Transformative Research Areas (A) JP20H05850, JP20A203, by the World Premier International Research Center Initiative, MEXT, Japan, and Hamamatsu Photonics, K. K.

Publisher Copyright:
© 2021 Published by the American Physical Society

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10.1103/PhysRevD.104.065018

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abstract = "We analyze dynamics of chiral gauge theories based on the gauge group with one antisymmetric tensor and () antifundamentals when is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global symmetry is spontaneously broken to . There are massless fermions as a fundamental representation of , and another massless fermion, together saturating the anomaly matching conditions. When is even, the unbroken flavor symmetry is while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.",

author = "Csaba Cs{\'a}ki and Hitoshi Murayama and Ofri Telem",

note = "Funding Information: National Science Foundation United States-Israel Binational Science Foundation U.S. Department of Energy Japan Society for the Promotion of Science Ministry of Education, Culture, Sports, Science and Technology World Premier International Research Center Initiative Hamamatsu Photonics K.K. Funding Information: We thank Yuri Shirman for careful reading of the manuscript and useful comments. C. C. is supported in part by the NSF Grant No. PHY-2014071 as well as the US-Israeli BSF Grant No. 2016153. We also thank Jacob Leedom for pointing out typos. O. T. and H. M. were supported in part by the DOE under Grant No. DE-AC02-05CH11231. H. M. was also supported in part by the NSF Grant No. PHY-1915314, by the JSPS Grant-in-Aid for Scientific Research JP20K03942, MEXT Grant-in-Aid for Transformative Research Areas (A) JP20H05850, JP20A203, by the World Premier International Research Center Initiative, MEXT, Japan, and Hamamatsu Photonics, K. K. Publisher Copyright: {\textcopyright} 2021 Published by the American Physical Society",

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N2 - We analyze dynamics of chiral gauge theories based on the gauge group with one antisymmetric tensor and () antifundamentals when is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global symmetry is spontaneously broken to . There are massless fermions as a fundamental representation of , and another massless fermion, together saturating the anomaly matching conditions. When is even, the unbroken flavor symmetry is while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.

AB - We analyze dynamics of chiral gauge theories based on the gauge group with one antisymmetric tensor and () antifundamentals when is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global symmetry is spontaneously broken to . There are massless fermions as a fundamental representation of , and another massless fermion, together saturating the anomaly matching conditions. When is even, the unbroken flavor symmetry is while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.

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Some exact results in chiral gauge theories

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