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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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 |
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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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