Hidden QCD in Chiral Gauge Theories

Abstract

The 't Hooft and Corrigan-Ramond limits of massless one-flavor QCD consider the two Weyl fermions to be respectively in the fundamental representation or the two index antisymmetric representation of the gauge group. We introduce a limit in which one of the two Weyl fermions is in the fundamental representation and the other in the two index antisymmetric representation of a generic SU(N) gauge group. This theory is chiral and to avoid gauge anomalies a more complicated chiral theory is needed. This is the generalized Georgi-Glashow model with one vector like fermion. We show that there is an interesting phase in which the considered chiral gauge theory, for any N, Higgses via a bilinear condensate: The gauge interactions break spontaneously to ordinary massless one-flavor SU(3) QCD. The additional elementary fermionic matter is uncharged under this SU(3) gauge theory. It is also seen that when the number of colors reduce to three it is exactly this hidden QCD which is revealed.

arXiv comment12 pages in LaTeX with one figure

References in corpus (12)

• Orientifold theory dynamics and symmetry breaking
• Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
• Composite Higgs from Higher Representations
• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Effective Lagrangians for Orientifold Theories
• Phases of Chiral Gauge Theories
• The pressure of the SU(N) lattice gauge theory at large-N
• Higher Representations: Confinement and Large N
• Large Nc and Chiral Dynamics
• The quark mass dependence of the pion mass at infinite N
• The Gauge/Gravity Correspondence for Non-Supersymmetric Theories

Cited by in corpus (8)

• Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and Unparticles
• Composite Inflation from Super Yang-Mills, Orientifold and One-Flavor QCD
• Alternative Large Nc Schemes and Chiral Dynamics
• Spin contribution to light baryons in different large-$N$ limits
• Light baryon masses in different large-$N_c$ limits
• Alternative large Nc baryons and holography
• Corrigan-Ramond Extension of QCD at Nonzero Baryon Density
• Large N orbifold field theories on the twisted torus