Nakayama, Yu (2012) On є-Conjecture in α-Theorem. Modern Physics Letters A, 27 (5). Art. No. 1250029. ISSN 0217-7323. doi:10.1142/S0217732312500290. https://resolver.caltech.edu/CaltechAUTHORS:20120314-091201690
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Abstract
The derivation of the α-theorem recently proposed by Komargodski and Schwimmer relies on the ϵ-conjecture that demands decoupling of dilaton from the rest of the infrared theory. We point out that the decoupling, if true, provides a strong evidence for the equivalence between scale invariance and conformal invariance in four dimensions. Thus, a complete proof of the α-theorem along the line of their argument in the most generic scenario would establish the equivalence between scale invariance and conformal invariance, which is another long-standing conjecture in four-dimensional quantum field theories.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2012 World Scientific Publishing Co. Received 18 November 2011 Published 3 February 2012. The author thanks H. Ooguri for discussions. The work is supported by the World Premier International Research Center Initiative of MEXT of Japan. | |||||||||
| Group: | Caltech Theory | |||||||||
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| Subject Keywords: | Scale invariance; conformal invariance; α-theorem. | |||||||||
| Issue or Number: | 5 | |||||||||
| DOI: | 10.1142/S0217732312500290 | |||||||||
| Record Number: | CaltechAUTHORS:20120314-091201690 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120314-091201690 | |||||||||
| Official Citation: | ON ϵ-CONJECTURE IN α-THEOREM YU NAKAYAMA DOI No: 10.1142/S0217732312500290 1250029 (9 Pages) Published: 3 February 2012 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 29717 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 14 Mar 2012 16:35 | |||||||||
| Last Modified: | 09 Nov 2021 19:28 |
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