Spontaneous chiral-symmetry breaking and scaling law in three-dimensional QED

Journal Article · Sat Mar 10 04:00:00 EST 1990 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732390000470· OSTI ID:5254055

Kondo, K I ^[1]; Nakatani, H ^[2]

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1. Dept. of Physics, Chiba Univ., 1-33 Yayoi-cho, Chiba 260 (JP)
2. Dept. of Physics, Nagoya Univ., Chikusa-ku, Nagoya 464-01 (JP)

This paper analyzes the critical behavior associated with spontaneous breakdown of chiral symmetry in QED{sub 3} (three-dimensional QED) with four-component Dirac fermion using the SD (Schwinger-Dyson) equation. In the quenched planar approximation, the authors find an approximate solution such that QED{sub 3} resides in only one phase where the chiral symmetry is broken. Moreover, the authors predict the scaling law for the dynamical mass and chiral order parameter by an analytic study of the SD equation, which is then confirmed by solving the SD equation numerically. This scaling law is consistent with the Monte Carlo result in the quenched approximation.

• OSTI ID: 5254055
• Journal Information: Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 5:6; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DYSON REPRESENTATION
ELECTRODYNAMICS
FIELD THEORIES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCALING LAWS
SYMMETRY
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS