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

Van Acoleyen, K.; Gracey, J.A. and Verschelde, H. (2002) Dynamical mass generation by source inversion: calculating the mass gap of the chiral Gross-Neveu model. Physical Review D, 66 . Article Number: 025002. ISSN 1550-2368 (online); 1550-7998 (print)

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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 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. THIRRING MODEL; RENORMALIZATION; SYMMETRY Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1103/PhysRevD.66.025002 ©2002 The American Physical Society http://arxiv.org/abs/hep-th/0202194 Yes Published 551 31 Oct 2008 13:41 20 May 2011 12:16

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