38 citations · 142 across the 20 of their papers we have counts for
20 papers
Relativistic Remnants of Non-Relativistic Electrons
Taro Kashiwa, Taisuke Yamaguchi
Electrons obeying the Dirac equation are investigated under the non-relativistic limit. General solutions are given by derivatives of the relativistic invariant…
Saddle Points in the Auxiliary Field Method
Hiroki Aono, Taro Kashiwa
Investigations are made on the saddle point calculations (SPC) under the auxiliary field method in path integrations. Two different ways of SPC are considered, Method(I) and Method…
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This paper has been withdrawn by the authors because the results obtained here had been corrected and appeared in hep-th/0306008.