Triviality from the exact renormalization group

Rosten, Oliver J. (2008) Triviality from the exact renormalization group. Journal of High Energy Physics, 2009 (07). 019-019. ISSN 1029-8479

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Official URL: http://doi.org/10.1088/1126-6708/2009/07/019

Abstract

Using the exact renormalization group, it is shown that no physically acceptable non-trivial fixed points, with positive anomalous dimension, exist for (i) O(N ) scalar field theory in four or more dimensions, (ii) non-compact, pure Abelian gauge theory in any dimension. It is then shown, for both theories in any dimension, that otherwise physically acceptable non-trivial fixed points with negative anomalous dimension are non-unitary. In addition, a very simple demonstration is given, directly from the exact renormalization group, that should a critical fixed point exist for either theory in any dimension, then the two-point correlation function exhibits the expected behaviour.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:18
Last Modified: 17 Dec 2022 14:38
URI: https://dair.dias.ie/id/eprint/223

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