Four loop wave function renormalization in the non-abelian Thirring model



Ali, DB and Gracey, JA ORCID: 0000-0002-9101-2853
(2001) Four loop wave function renormalization in the non-abelian Thirring model. NUCLEAR PHYSICS B, 605 (1-3). pp. 337-364.

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Abstract

We compute the anomalous dimension of the fermion field with Nf flavours in the fundamental representation of a general Lie colour group in the non-abelian Thirring model at four loops. The implications on the renormalization of the two point Green's function through the loss of multiplicative renormalizability of the model in dimensional regularization due to the appearance of evanescent four fermi operators are considered at length. We observe the appearance of one new colour group Casimir, dFabcddFabcd, in the final four loop result and discuss its consequences for the relation of the Knizhnik-Zamolodchikov critical exponents in the Wess-Zumino-Witten-Novikov model to the non-abelian Thirring model. Renormalization scheme changes are also considered to ensure that the underlying Fierz symmetry broken by dimensional regularization is restored. © 2001 Elsevier Science B.V.

Item Type: Article
Additional Information: LTH 499. arXiv Number: arXiv:hep-th/0104207v1. Available online 3 July 2001. Issue: 2 July 2001.
Uncontrolled Keywords: GROSS-NEVEU MODEL, MASS ANOMALOUS DIMENSION, DEEP-INELASTIC SCATTERING, 2-LOOP BETA-FUNCTION, ZUMINO-WITTEN MODEL, QUARK MASS, QUANTUM CHROMODYNAMICS, REGULARIZATION, COMPUTATION, SYMMETRY
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 20 Aug 2008 09:15
Last Modified: 16 Dec 2022 09:51
DOI: 10.1016/S0550-3213(01)00214-0
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/583