Probing the two-scale-factor universality hypothesis by exact rotation symmetry-breaking mechanism
| Autor: | J. F. S. Neto, K. A. L. Lima, P. R. S. Carvalho, M. I. Sena-Junior |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 77, Iss 12, Pp 1-8 (2017) |
| Druh dokumentu: | article |
| ISSN: | 1434-6044 1434-6052 |
| DOI: | 10.1140/epjc/s10052-017-5427-z |
| Popis: | Abstract We probe the two-scale-factor universality hypothesis by evaluating, firstly explicitly and analytically at the one-loop order, the loop quantum corrections to the amplitude ratios for O(N) $$\lambda \phi ^{4}$$ λ ϕ 4 scalar field theories with rotation symmetry breaking in three distinct and independent methods in which the rotation symmetry-breaking mechanism is treated exactly. We show that the rotation symmetry-breaking amplitude ratios turn out to be identical in the three methods and equal to their respective rotation symmetry-breaking ones, although the amplitudes themselves, in general, depend on the method employed and on the rotation symmetry-breaking parameter. At the end, we show that all these results can be generalized, through an inductive process based on a general theorem emerging from the exact calculation, to any loop level and physically interpreted based on symmetry ideas. |
| Databáze: | Directory of Open Access Journals |
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