Infrared evolution and phase structure of a gauge theory containing different fermion representations

2010/06/22 by Thomas A. Ryttov, Robert Shrock
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Gauge (firearms) #Gauge group #Gauge theory #Infrared #Mass generation #Materials science #Mathematical physics #Particle physics theoretical and experimental studies #Phase (matter) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.81.116003

published as Phys.Rev.D81:116003,2010; Erratum-ibid.D82:059903,2010 · 13 pages, latex

openalex publication_date 2010/06/22 · arxiv created 2010/08/03 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the evolution of an asymptotically free vectorial SU(N) gauge theory from the ultraviolet to the infrared and the resultant phase structure in the general case in which the theory contains fermions transforming according to several different representations of the gauge group. We discuss the sequential fermion condensation and dynamical mass generation that occur, and comment on the effect of bare fermion mass terms.

Citations

• Nearly conformal gauge theories in finite volume
• Chiral properties of SU(3) sextet fermions
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Reliable Perturbative Results for Strong Interactions?
• An extended technicolor model
• Lectures on supersymmetric gauge theories and electric-magnetic duality
• Phase structure of lattice QCD for general number of flavors

Cited by

• Higher loop corrections to the infrared evolution of fermionic gauge theories in the RI′ scheme