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Prog. Theor. Phys. Vol. 77 No. 6 (1987) pp. 1434-1449
Chiral Symmetry Breaking of Strong Coupling QED
Takuya Morozumi and
Hiroto So*
Department of Physics, Kyoto University, Kyoto 606
*Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
(Received February 7, 1987)
Abstract:
The vacuum structure of strong coupling QED is investigated by means of the effective potential method. The introduction of the bilocal auxiliary fields enables us to path-integrate out the gauge and fermi fields and to obtain the effective action for the composite operators.
The stationary equation for the potential is analyzed and the results are:
(i)In the weak coupling phase, there exists only a trivial solution independent of gauge parameter.
(ii)In the strong coupling phase, the nodeless chiral spontaneous breaking solution corresponds to the minimum vacuum
energy in Landau gauge. It is stable under any fluctuations, with or without a small explicit breaking term. The scalar
boson is a massive composite particle but the pseudoscalar boson is a massless Nambu-Goldstone particle. As the coupling constant tends to the critical coupling constant with a cutoff fixed, the mass of the scaler mode tends to zero; the 2nd order phase transition occurs. We also study the effect of explicit breaking.
URL :
http://ptp.ipap.jp/link?PTP/77/1434/
DOI : 10.1143/PTP.77.1434
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