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The functional renormalization group

is a tool in the systematic search for Euclidean QFTs that works with

very little input: All one needs to specify is a field content,

symmetries and a notion of locality. The functional renormalization

group then allows one to scan this theory space for bare actions for

which the path integral can be performed nonperturbatively. These

actions appear as fixed points (and relevant deformations) of the

renormalization group flow (so-called asymptotic safety). Such a

systematic search has so far not been performed for the tensor model

approach to quantum gravity. We investigate matrix models for

2-dimensional gravity and the Grosse-Wulkenhaar model, which is a simple

tensor model for a 4D noncommutative scalar field theory, as a first

step. I will report on work, done in collaboration with Astrid Eichhorn

and Alessandro Sfondrini, where we confirmed asymptotic safety purely

through functional RG methods. Based on the lessons learned from these

models I will summarize how the usual continuum RG approach has to be

generalized for the investigation of tensor models and conclude with a

recipe for the investigation of general tensor models.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Thursday, October 24, 2013 - 14:30 to 16:00

Location:

Time Room

©2012 Perimeter Institute for Theoretical Physics