Conformal constraints for anomalous dimensions of leading-twist operators
| Autor: | Alexander N. Manashov, Matthias Strohmaier |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
High Energy Physics - Theory
Physics Property (philosophy) Physics and Astronomy (miscellaneous) ddc:530 Structure (category theory) Order (ring theory) FOS: Physical sciences Conformal map 530 Physik Theoretical physics symbols.namesake High Energy Physics - Theory (hep-th) symbols Feynman diagram Perturbation theory (quantum mechanics) Twist Divergence (statistics) Engineering (miscellaneous) |
| Zdroj: | European Physical Journal C The European physical journal / C 75(8), 363 (2015). doi:10.1140/epjc/s10052-015-3595-2 |
| DOI: | 10.1140/epjc/s10052-015-3595-2 |
| Popis: | Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist operators and allows one to gain one order in perturbation theory so that, i.e., two-loop anomalous dimensions can be calculated from one-loop Feynman diagrams, etc. In this work we study feasibility of this program on a toy-model example of the $\varphi^3$ theory in six dimensions. Our conclusion is that this approach is valid, although it does not seem to present considerable technical simplifications as compared to the standard technique. It does provide one, however, with a very nontrivial check of the calculation as the structure of the contributions is very different. Comment: 14 pages, 6 figures |
| Databáze: | OpenAIRE |
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