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

Ali, D.B. and Gracey, J.A. (2001) Four loop wave function renormalization in the non-abelian Thirring model. Nuclear Physics B, 605 (1-3). pp. 337-364. ISSN 0550-3213

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Official URL: http://www.elsevier.com/wps/find/journaldescriptio...

Cited 4 times in WoS

Abstract

We compute the anomalous dimension of the fermion field with N_f 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, d_F^{abcd} d_F^{abcd}, 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.

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:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1016/S0550-3213(01)00214-0
Related URLs:
Refereed:Yes
Status:Published
ID Code:583
Deposited On:20 Aug 2008 10:15
Last Modified:20 May 2011 10:05

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