INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
Renormalization on noncommutative torus
Autor/es:
DANIELA D'ASCANIO; PABLO PISANI; DMITRY VASSILEVICH
Revista:
EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2016 vol. 76 p. 180 - 190
ISSN:
1434-6044
Resumen:
We study a self-interacting scalar arphi^4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d=2 and d=4, the nonlocal 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 towards the absence of any problems related to the UV/IR 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 heta.
