Probing the two-scale-factor universality hypothesis by exact rotation symmetry-breaking mechanism

Neto, J. F. S. (Departamento de Física, Universidade Federal do Piauí, 0000 0001 2176 3398, 64049-550, Teresina, PI, Brazil) ; Lima, K. A. L. (Departamento de Física, Universidade Federal do Piauí, 0000 0001 2176 3398, 64049-550, Teresina, PI, Brazil) ; Carvalho, P. R. S. (Departamento de Física, Universidade Federal do Piauí, 0000 0001 2176 3398, 64049-550, Teresina, PI, Brazil) ; Sena-Junior, M. I. (Escola Politécnica de Pernambuco, Universidade de Pernambuco, 0000 0000 9011 5442, 50720-001, Recife, PE, Brazil) (Instituto de Física, Universidade Federal de Alagoas, 0000 0001 2154 120X, 57072-900, Maceió, AL, Brazil)

07 December 2017

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 ) λϕ4 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.


Published in: EPJC 77 (2017) 839
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-017-5427-z
License: CC-BY-3.0



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