Massless Three Dimensional Quantum Electrodynamics and Thirring Model Constrained by Large Flavor Number

Abstract

We explicitly prove that in three dimensional massless quantum electrodynamics at finite temperature, zero density and large number of flavors the number of infrared degrees of freedom is never larger than the corresponding number of ultraviolet. Such a result, strongly dependent on the asymptotic freedom of the theory, is reversed in three dimensional Thirring model due to the positive derivative of its running coupling constant.

References in corpus (5)

• A New Constraint on Strongly Coupled Field Theories
• Refining the Proof of Planar Equivalence
• Higher Representations: Confinement and Large N
• Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
• Noncommutative massive Thirring model in three-dimensional spacetime