### Abstract

Original language | English |
---|---|

Article number | 055009 |

Journal | Physical Review D |

Volume | 100 |

Issue number | 5 |

Number of pages | 20 |

ISSN | 2470-0010 |

DOIs | |

Publication status | Published - 1. Sep 2019 |

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*Physical Review D*, vol. 100, no. 5, 055009. https://doi.org/10.1103/PhysRevD.100.055009

**Ultraviolet to infrared evolution and nonperturbative behavior of SU (N) ⊗- SU (N-4) ⊗ - U (1) chiral gauge theories.** / Ryttov, Thomas A.; Shrock, Robert.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Ultraviolet to infrared evolution and nonperturbative behavior of SU (N) ⊗- SU (N-4) ⊗ - U (1) chiral gauge theories

AU - Ryttov, Thomas A.

AU - Shrock, Robert

N1 - 22 pages, latex

PY - 2019/9/1

Y1 - 2019/9/1

N2 - We analyze the ultraviolet to infrared evolution and nonperturbative properties of asymptotically free SU(N)⊗ - SU(N-4)⊗ - U(1) chiral gauge theories with Nf copies of chiral fermions transforming according to ([2]N,1)N-4+([1̄]N,[1̄]N-4)-(N-2)+(1,(2)N-4)N, where [k]N and (k)N denote the antisymmetric and symmetric rank-k tensor representations of SU(N) and the rightmost subscript is the U(1) charge. We give a detailed discussion for the lowest nondegenerate case, N=6. These theories can exhibit both self-breaking of a strongly coupled gauge symmetry and induced dynamical breaking of a weakly coupled gauge interaction symmetry due to fermion condensates produced by a strongly coupled gauge interaction. A connection with the dynamical breaking of SU(2)L? - U(1)Y electroweak gauge symmetry by the quark condensates ?q̄q? due to color SU(3)c interactions is discussed. We also remark on direct-product chiral gauge theories with fermions in higher-rank tensor representations.

AB - We analyze the ultraviolet to infrared evolution and nonperturbative properties of asymptotically free SU(N)⊗ - SU(N-4)⊗ - U(1) chiral gauge theories with Nf copies of chiral fermions transforming according to ([2]N,1)N-4+([1̄]N,[1̄]N-4)-(N-2)+(1,(2)N-4)N, where [k]N and (k)N denote the antisymmetric and symmetric rank-k tensor representations of SU(N) and the rightmost subscript is the U(1) charge. We give a detailed discussion for the lowest nondegenerate case, N=6. These theories can exhibit both self-breaking of a strongly coupled gauge symmetry and induced dynamical breaking of a weakly coupled gauge interaction symmetry due to fermion condensates produced by a strongly coupled gauge interaction. A connection with the dynamical breaking of SU(2)L? - U(1)Y electroweak gauge symmetry by the quark condensates ?q̄q? due to color SU(3)c interactions is discussed. We also remark on direct-product chiral gauge theories with fermions in higher-rank tensor representations.

KW - hep-th

KW - hep-ph

U2 - 10.1103/PhysRevD.100.055009

DO - 10.1103/PhysRevD.100.055009

M3 - Journal article

VL - 100

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 5

M1 - 055009

ER -