Landau Gauge Peculiarity in QED Schwinger-Dyson Equation
Author(s) -
Kenichi Aoki,
Masako Bando,
Taichiro Kugo,
Katsuya Hasebe,
H. Nakatani
Publication year - 1989
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.81.866
Subject(s) - physics , renormalization , mathematical physics , massless particle , covariant transformation , gauge theory , gauge (firearms) , quantum electrodynamics , chiral symmetry breaking , momentum (technical analysis) , critical point (mathematics) , renormalization group , infrared fixed point , symmetry breaking , quantum mechanics , mathematical analysis , mathematics , archaeology , finance , economics , history
Spontaneous chiral symmetry breaking solutions for the Schwinger-Dyson equation in massless QED are investigated in the covariant a-gauge. With a proper renormalizati6n of the mass function 1:, critical solutions 1:e are obtained along the whole criticality on the A-a plane (A=3e /471-). For positive a, 1:e(x) is a momentum independent constant function. The renormalization flow and fixed point structure on the A-a plane is clarified. The Landau gauge critical point (A=l, a=O) shows up as an ultraviolet fixed point with two relevant operators.
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