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

Thomas A. Ryttov, Robert Shrock

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

104 Downloads (Pure)


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.
TidsskriftPhysical Review D
Udgave nummer5
Antal sider20
StatusUdgivet - 1. sep. 2019

Bibliografisk note

22 pages, latex


  • hep-th
  • hep-ph

Fingeraftryk Dyk ned i forskningsemnerne om 'Ultraviolet to infrared evolution and nonperturbative behavior of SU (N) ⊗- SU (N-4) ⊗ - U (1) chiral gauge theories'. Sammen danner de et unikt fingeraftryk.