Hard-Soft Renormalization and the Exact Renormalization Group

Details Hard-Soft Renormalization and the Exact Renormalization Group Hard-Soft Renormalization and the Exact Renormalization Group

1997-10-17

arxiv.org/abs/hep-th/9710145v2

Nucl.Phys. B520 (1998) 469-492

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, RevTex; changes in Abstract, Introduction and Conclusions; Note added in proof; to be published in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(98)00176-X

The Wilsonian exact renormalization group gives a natural framework in which ultraviolet and infrared divergences can be treated separately. In massless QED we introduce, as the only mass parameter, a renormalization scale $\L_R > 0$. We prove, using the flow equation technique, that infrared convergence is a necessary consequence of any zero-momentum renormalization condition at $\L_R$ compatible with the effective Ward identities and axial symmetry. The same formalism is applied to renormalize gauge-invariant composite operators and to prove their infrared finiteness; in particular we consider the case of the axial current operator and its anomaly.

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