Yu, Nakayama (2012) Comments on Scale Invariant but Nonconformal Supersymmetric Field Theories. International Journal of Modern Physics A, 27 (22). Art. No. 1250122. ISSN 0217-751X. doi:10.1142/S0217751X12501229. https://resolver.caltech.edu/CaltechAUTHORS:20121008-085522537
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Abstract
We investigate a possibility of scale invariant but nonconformal supersymmetric field theories from a perturbative approach. The explicit existence of monotonically decreasing a-function that generates beta-functions as a gradient flow provides a strong obstruction for such a possibility at two-loop order. We comment on the "discovery" of scale invariant but nonconformal renormalization group trajectories via a "change of scheme" in (4-ϵ) dimension proposed in literatures.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2012 World Scientific Publishing Company. Received 26 June 2012. Accepted 28 June 2012. Published 16 August 2012. We thank M. Buican, S. Rychkov and Y. Tachikawa for stimulating discussions. We are greatly indebted to J.-F. Fortin for clarification of the arguments in their papers. There is no need to say, of course, that all the possible misunderstandings of their claim is on us. The work is supported by the World Premier International Research Center Initiative of MEXT of Japan. | |||||||||
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| Subject Keywords: | Scale invariance; conformal invariance; supersymmetry | |||||||||
| Issue or Number: | 22 | |||||||||
| DOI: | 10.1142/S0217751X12501229 | |||||||||
| Record Number: | CaltechAUTHORS:20121008-085522537 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20121008-085522537 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 34739 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 09 Oct 2012 21:56 | |||||||||
| Last Modified: | 09 Nov 2021 23:10 |
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