Physics – Condensed Matter – Superconductivity
Scientific paper
2004-11-24
Phys.Rev. B71 (2005) 184519
Physics
Condensed Matter
Superconductivity
7 pages, 7 figures
Scientific paper
10.1103/PhysRevB.71.184519
Motivated by recent theoretical approaches to high temperature superconductivity, we study dynamical mass generation in three dimensional quantum electrodynamics ${\rm QED}_{3}$) in 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 large number of fermion flavors $N$. We find that the critical number of fermions $N_c$ 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 $N_{c0} = 6$ in pure ${\rm QED}_3$. We also find that chiral-symmetry-preserving mass cannot become dynamically generated in pure ${\rm QED}_{3}$.
Herbut Igor F.
Kaveh Kamran
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