119 citations · 1.2k across the 30 of their papers we have counts for
5 papers · 1 filter
Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation
Sylvain Carrozza, Vincent Lahoche
We study the functional renormalization group of a three-dimensional tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates (generalized) lattice gauge the…
Pfaffians and nonintersecting paths in graphs with cycles: Grassmann algebra methods
Sylvain Carrozza, Adrian Tanasa
After recalling the definition of Grassmann algebra and elements of Grassmann--Berezin calculus, we use the expression of Pfaffians as Grassmann integrals to generalize a series of…
Is the local linearity of space-time inherited from the linearity of probabilities?
Markus P. Mueller, Sylvain Carrozza, Philipp A Hoehn
The appearance of linear spaces, describing physical quantities by vectors and tensors, is ubiquitous in all of physics, from classical mechanics to the modern notion of local Lore…
Using Grassmann calculus in combinatorics: Lindström-Gessel-Viennot lemma and Schur functions
Sylvain Carrozza, Thomas Krajewski, Adrian Tanasa
Grassmann (or anti-commuting) variables are extensively used in theoretical physics. In this paper we use Grassmann variable calculus to give new proofs of celebrated combinatorial…
Flowing in Group Field Theory Space: a Review
Sylvain Carrozza
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum fiel…