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The Auxiliary Field Method in Quantum Mechanical Four-Fermi Models -- A Study Toward Chiral Condensation in QED
Taro Kashiwa, Tomohiko Sakaguchi
A study for checking validity of the auxiliary field method (AFM) is made in quantum mechanical four-fermi models which act as a prototype of models for chiral symmetry breaking in…
Auxiliary Field Method in 4- and 3- dimensional Nambu--Jona-Lasinio Models
Taro Kashiwa, Tomohiko Sakaguchi
In order to check the validity of auxiliary field method in the Nambu--Jona-Lasinio model, the one-loop (=quantum) effects of auxiliary fields to the gap equation are considered wi…
Caustics in the Grassmann Integral
Taro Kashiwa, Tomohiko Sakaguchi
It is shown that a simple model of 2N-Grassmann variables with a four-body coupling involves caustics when the integral has been converted to a bosonic form with the aid of the aux…
Quantum Effect of Auxiliary Fields to the Gap Equation in the Nambu-Jona-Lasinio Model
Taro Kashiwa, Tomohiko Sakaguchi
This paper has been withdrawn by the authors because the results obtained here had been corrected and appeared in hep-th/0306008.
Critical Couplings in the Nambu--Jona-Lasinio Model with the Constant Electromagnetic Fields
M. Ishi-i, T. Kashiwa, N. Tanimura
A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared…
Gauge Invariance in Quantum Electrodynamics
Taro Kashiwa, Yasushi Takahashi
Contrary to the conventional view point of quantization that breaks the gauge symmetry, a gauge invariant formulation of quantum electrodynamics is proposed. Instead of fixing the…