https://doi.org/10.1140/epjc/s10052-017-5427-z
Regular Article - Theoretical Physics
Probing the two-scale-factor universality hypothesis by exact rotation symmetry-breaking mechanism
1
Departamento de Física, Universidade Federal do Piauí, Teresina, PI, 64049-550, Brazil
2
Escola Politécnica de Pernambuco, Universidade de Pernambuco, Recife, PE, 50720-001, Brazil
3
Instituto de Física, Universidade Federal de Alagoas, Maceió, AL, 57072-900, Brazil
* e-mail: prscarvalho@ufpi.edu.br
Received:
24
August
2017
Accepted:
27
November
2017
Published online:
7
December
2017
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) 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.
© The Author(s), 2017