TY - JOUR

T1 - Spontaneous chiral-symmetry breaking in three-dimensional QED

AU - Appelquist, Thomas W.

AU - Bowick, Mark

AU - Karabali, Dimitra

AU - Wijewardhana, L. C.R.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - A detailed analysis is given of chiral-symmetry breaking in the large-flavor (N) limit of quantum electrodynamics in (2+1) dimensions. Analytical and numerical solutions of the homogeneous Dyson-Schwinger equation for the fermion self-energy combined with a computation of the effective potential for the fermion bilinear show that it is energetically preferable for the theory to dynamically generate a mass for fermions. The magnitude of the mass is roughly exponentially suppressed in N from the fundamental dimensionful scale N e2 of the gauge coupling constant, but the scale at which the self-mass begins to damp rapidly appears to be of order , so that there is no spontaneous breaking of an approximate scale invariance that the underlying theory possesses at momentum small compared to . Higher-order 1/N corrections are analyzed and it is shown that the 1/N expansion can be used consistently to demonstrate chiral-symmetry breaking. Open issues and possible improvements of the analysis are given and some avenues for future investigation suggested.

AB - A detailed analysis is given of chiral-symmetry breaking in the large-flavor (N) limit of quantum electrodynamics in (2+1) dimensions. Analytical and numerical solutions of the homogeneous Dyson-Schwinger equation for the fermion self-energy combined with a computation of the effective potential for the fermion bilinear show that it is energetically preferable for the theory to dynamically generate a mass for fermions. The magnitude of the mass is roughly exponentially suppressed in N from the fundamental dimensionful scale N e2 of the gauge coupling constant, but the scale at which the self-mass begins to damp rapidly appears to be of order , so that there is no spontaneous breaking of an approximate scale invariance that the underlying theory possesses at momentum small compared to . Higher-order 1/N corrections are analyzed and it is shown that the 1/N expansion can be used consistently to demonstrate chiral-symmetry breaking. Open issues and possible improvements of the analysis are given and some avenues for future investigation suggested.

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U2 - 10.1103/PhysRevD.33.3704

DO - 10.1103/PhysRevD.33.3704

M3 - Article

AN - SCOPUS:26544467802

VL - 33

SP - 3704

EP - 3713

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 12

ER -