Regular Article - Theoretical Physics
On general ultraviolet properties of a class of confining propagators
Departamento de Física Teórica, Instituto de Física, UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, 20550-013, Brazil
* e-mail: email@example.com
Accepted: 23 February 2016
Published online: 14 March 2016
We study the ultraviolet properties of theories whose fundamental fields display a confining, Gribov-type, propagator. These are propagators that exhibit complex poles and violate positivity, thus precluding a physical propagating particle interpretation. We show that the properties of this type of confining propagators do not change the ultraviolet behavior of the theory, in the sense that no new ultraviolet primitive divergences are generated, thus securing the renormalizability of these confining theories. We illustrate these properties by studying a variety of models, including bosonic and fermionic confined degrees of freedom. The more intricate case of super-Yang–Mills with supersymmetries in the Wess–Zumino gauge is taken as example in order to prove these statements to all orders by means of the algebraic renormalization set up.
© The Author(s), 2016