We analyse the renormalisation properties of composite operators of scalar fields in the N=2 Super Yang-Mills theory. We compute the matrix of anomalous dimensions in the planar limit at one-loop order in the 't Hooft coupling, and show that it corresponds to the Hamiltonian of an integrable XXZ spin chain with an anisotropy parameter Delta>1. We suggest that this parameter could be related to the presence of non-trivial two-form fluxes in the dual supergravity background. We find that the running of the gauge coupling does not affect the renormalization group equations for these composite operators at one-loop order, and argue that this is a general property of gauge theories which is not related to supersymmetry.

N=2 Super Yang--Mills and the XXZ spin chain / Di Vecchia, P.; Tanzini, A.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 54:1(2005), pp. 116-130. [10.1016/j.geomphys.2004.09.001]

N=2 Super Yang--Mills and the XXZ spin chain

Tanzini, A.
2005-01-01

Abstract

We analyse the renormalisation properties of composite operators of scalar fields in the N=2 Super Yang-Mills theory. We compute the matrix of anomalous dimensions in the planar limit at one-loop order in the 't Hooft coupling, and show that it corresponds to the Hamiltonian of an integrable XXZ spin chain with an anisotropy parameter Delta>1. We suggest that this parameter could be related to the presence of non-trivial two-form fluxes in the dual supergravity background. We find that the running of the gauge coupling does not affect the renormalization group equations for these composite operators at one-loop order, and argue that this is a general property of gauge theories which is not related to supersymmetry.
2005
54
1
116
130
https://doi.org/10.1016/j.geomphys.2004.09.001
https://arxiv.org/abs/hep-th/0405262
Di Vecchia, P.; Tanzini, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12808
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