Chiral symmetry breaking in three-dimensional quantum electrodynamics in the presence of irrelevant interactions: A renormalization group study

Kamran Kaveh, Igor F. Herbut

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Abstract

Motivated by recent theoretical approaches to high temperature superconductivity, we study dynamical mass generation in three-dimensional quantum electrodynamics (QED3) in the presence of irrelevant four-fermion quartic terms. The problem is reformulated in terms of the renormalization group flows of certain four-fermion couplings and charge, and then studied in the limit of a large number of fermion flavors N. We find that the critical number of fermions Nc below which the mass becomes dynamically generated depends continuously on a weak chiral symmetry breaking interaction. One-loop calculation in our gauge-invariant approach yields Nc0 =6 in pure QED3. We also find that chiral symmetry preserving mass cannot become dynamically generated in pure QED3.

Original languageEnglish (US)
Article number184519
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume71
Issue number18
DOIs
StatePublished - 2005

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