Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-03
Phys.Lett.B632:717-724,2006
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, no figures
Scientific paper
10.1016/j.physletb.2005.11.006
We show that the Implicit Regularization Technique is useful to display quantum symmetry breaking in a complete regularization independent fashion. Arbitrary parameters are expressed by finite differences between integrals of the same superficial degree of divergence whose value is fixed on physical grounds (symmetry requirements or phenomenology). We study Weyl fermions on a classical gravitational background in two dimensions and show that, assuming Lorentz symmetry, the Weyl and Einstein Ward identities reduce to a set of algebraic equations for the arbitrary parameters which allows us to study the Ward identities on equal footing. We conclude in a renormalization independent way that the axial part of the Einstein Ward identity is always violated. Moreover whereas we can preserve the pure tensor part of the Einstein Ward identity at the expense of violating the Weyl Ward identities we may as well violate the former and preserve the latter.
Nemes Carolina M.
Sampaio Marcos
Souza Leonardo A. M.
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