Abstract
We study asymptotically free chiral gauge theories with an gauge group and chiral fermions transforming according to the antisymmetric rank- tensor representation, , and the requisite number, , of copies of fermions in the conjugate fundamental representation, , to render the theories anomaly-free. We denote these as theories. We take so that . The theories form an infinite family with , but we show that the and theories are only asymptotically free for in the respective ranges and , and that there are no asymptotically free theories with . We investigate the types of ultraviolet to infrared evolution for these theories and find that, depending on and , they may lead to a non-Abelian Coulomb phase, or may involve confinement with massless gauge-singlet composite fermions, bilinear fermion condensation with dynamical gauge and global symmetry breaking, or formation of multifermion condensates that preserve the gauge symmetry. We also show that there are no asymptotically free, anomaly-free chiral gauge theories with , where denotes the rank- symmetric representation.
- Received 25 October 2015
DOI:https://doi.org/10.1103/PhysRevD.92.105032
© 2015 American Physical Society