info:eu-repo/semantics/article
Renormalization on noncommutative torus
Fecha
2016-04Registro en:
D'ascanio, Daniela; González Pisani, Pablo Andrés; Vassilevich, D.V.; Renormalization on noncommutative torus; Springer; European Physical Journal C: Particles and Fields; 76; 4; 4-2016; 180-190
1434-6044
CONICET Digital
CONICET
Autor
D'ascanio, Daniela
González Pisani, Pablo Andrés
Vassilevich, D.V.
Resumen
We study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.