Spontaneous chiral-symmetry breaking in three-dimensional QED

Thomas W. Appelquist, Mark John Bowick, Dimitra Karabali, L. C R Wijewardhana

Research output: Contribution to journalArticle

369 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)3704-3713
Number of pages10
JournalPhysical Review D
Volume33
Issue number12
DOIs
StatePublished - 1986
Externally publishedYes

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broken symmetry
fermions
quantum electrodynamics
invariance
momentum
expansion
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Appelquist, T. W., Bowick, M. J., Karabali, D., & Wijewardhana, L. C. R. (1986). Spontaneous chiral-symmetry breaking in three-dimensional QED. Physical Review D, 33(12), 3704-3713. https://doi.org/10.1103/PhysRevD.33.3704

Spontaneous chiral-symmetry breaking in three-dimensional QED. / Appelquist, Thomas W.; Bowick, Mark John; Karabali, Dimitra; Wijewardhana, L. C R.

In: Physical Review D, Vol. 33, No. 12, 1986, p. 3704-3713.

Research output: Contribution to journalArticle

Appelquist, TW, Bowick, MJ, Karabali, D & Wijewardhana, LCR 1986, 'Spontaneous chiral-symmetry breaking in three-dimensional QED', Physical Review D, vol. 33, no. 12, pp. 3704-3713. https://doi.org/10.1103/PhysRevD.33.3704
Appelquist TW, Bowick MJ, Karabali D, Wijewardhana LCR. Spontaneous chiral-symmetry breaking in three-dimensional QED. Physical Review D. 1986;33(12):3704-3713. https://doi.org/10.1103/PhysRevD.33.3704
Appelquist, Thomas W. ; Bowick, Mark John ; Karabali, Dimitra ; Wijewardhana, L. C R. / Spontaneous chiral-symmetry breaking in three-dimensional QED. In: Physical Review D. 1986 ; Vol. 33, No. 12. pp. 3704-3713.
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