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).
ISSN 0556-2821, 1089-4918
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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: | 07 Dec 2024 09:21 |
| DOI: | 10.1103/physrevd.66.025002 |
| Publisher's Statement : | ©2002 The American Physical Society |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/551 |
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