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19 April 2024
 
  » arxiv » hep-th/9710145

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Hard-Soft Renormalization and the Exact Renormalization Group
M. Pernici ; M. Raciti ; F. Riva ;
Date 17 Oct 1997
Journal Nucl.Phys. B520 (1998) 469-492
Subject hep-th
AbstractThe 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.
Source arXiv, hep-th/9710145
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