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

Thomas A. Ryttov, Robert Shrock

Research output: Contribution to journalJournal articleResearchpeer-review

17 Downloads (Pure)

Abstract

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.
Original languageEnglish
Article number055009
JournalPhysical Review D
Volume100
Issue number5
Number of pages20
ISSN2470-0010
DOIs
Publication statusPublished - 1. Sep 2019

Fingerprint

gauge theory
fermions
condensates
symmetry
tensors
interactions
quarks
color
products

Cite this

@article{4c2b467338ec4c1abeb482df0c2606eb,
title = "Ultraviolet to infrared evolution and nonperturbative behavior of SU (N) ⊗- SU (N-4) ⊗ - U (1) chiral gauge theories",
abstract = "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.",
keywords = "hep-th, hep-ph",
author = "Ryttov, {Thomas A.} and Robert Shrock",
note = "22 pages, latex",
year = "2019",
month = "9",
day = "1",
doi = "10.1103/PhysRevD.100.055009",
language = "English",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "5",

}

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

In: Physical Review D, Vol. 100, No. 5, 055009, 01.09.2019.

Research output: Contribution to journalJournal articleResearchpeer-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 -