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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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 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 -