Abstract:
It is proved that reduction in the number of coupling and mass parameters is a scheme independent concept. This result justifies to use special renormalization schemes suitable for applications of the reduction method. Scheme changing transformations are discussed with the aim of removing gauge and mass parameters in the reduction equations. Necessary and sufficient conditions for asymptotic freedom in models with several couplings are stated.
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Received: 14 June 2000 / Accepted: 28 June 2000
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Zimmermann, W. Scheme Independence of the Reduction Principle¶and Asymptotic Freedom in Several Couplings. Commun. Math. Phys. 219, 221–245 (2001). https://doi.org/10.1007/s002200100396
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DOI: https://doi.org/10.1007/s002200100396