Quantum Theory Seminar
Worldline Formalism and noncommutative QFT
Thursday November 3, 2016 14:15:00 CET
Thursday November 3, 2016 16:15:00 CET
Sebastián Franchino-Viñas (La Plata / TPI)
Abstract: The Worldline Formalism possesses great advantages in comparison
with a Feynman's diagram analysis of a quantum field theory. On the other
hand, noncommutative quantum field theories are probably one of the most
important candidates to be an effective theory of quantum gravity. We then
show how to implement the worldline formalism in noncommutative theories.
The result is a master formula for the 1-loop effective action that is
applied to a number of scalar models -- among them the Grosse-Wulkenhaar
model a model with some unusually kind properties of renormalization. As a
byproduct we find an expression for the small propertime expansion of
general nonlocal operators' Heat Kernel.