Dynamical mass generation by source inversion: Calculating the mass gap of the chiral Gross-Neveu model

Van Acoleyen, K, Gracey, JA ORCID: 0000-0002-9101-2853 and Verschelde, H (2002) Dynamical mass generation by source inversion: Calculating the mass gap of the chiral Gross-Neveu model. Physical Review D, 66 (2).

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Abstract

We probe the U(N) chiral Gross-Neveu model with a source-term $J\l{\Psi}\Psi$. We find an expression for the renormalization scheme and scale invariant source $\hat{J}$, as a function of the generated mass gap. The expansion of this function is organized in such a way that all scheme and scale dependence is reduced to one single parameter $d$. We obtain a non-perturbative mass gap as the solution of $\hat{J}=0$. A physical choice for $d$ gives good results for $N>2$. The self-consistent minimal sensitivity condition gives a slight improvement.

Item Type:	Article
Additional Information:	LTH 534. arXiv Number: arXiv:hep-th/0202194v1. Additional citation information: PHYSICAL REVIEW D 66, 025002 (2002). 0556-2821/2002/66(2)/025002(7). 7 pages. Published 28 June 2002. Issue: July 2002.
Uncontrolled Keywords:	THIRRING MODEL, RENORMALIZATION, SYMMETRY
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	31 Oct 2008 13:41
Last Modified:	17 Dec 2022 01:41
DOI:	10.1103/physrevd.66.025002
Publisher's Statement :	©2002 The American Physical Society
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/551