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Phys. Rev. D 73, 065003 (2006) [33 pages]

Manifestly gauge invariant, continuum calculation of the SU(N) Yang-Mills two-loop β function

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Tim R. Morris* and Oliver J. Rosten
School of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom

Received 26 October 2005; published 3 March 2006

The manifestly gauge invariant exact renormalization group provides a framework for performing continuum computations in SU(N) Yang-Mills theory, without fixing the gauge. We use this formalism to compute the two-loop β function in a manifestly gauge invariant way, and without specifying the details of the regularization scheme.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.065003
DOI:
10.1103/PhysRevD.73.065003
PACS:
11.10.Gh, 11.10.Hi, 11.15.−q

*Email address: T.R.Morris@soton.ac.uk

Email address: ojr@phys.soton.ac.uk