113 citations · 729 across the 33 of their papers we have counts for
12 papers · 1 filter
Duality of O(N) and Sp(N) random tensor models: tensors with symmetries
H. Keppler, T. Krajewski, T. Muller +1
In a recent series of papers, a duality between orthogonal and symplectic random tensor models has been proven, first for quartic models and then for models with interactions of ar…
Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases
Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov
This paper provides the constructive loop vertex expansion for stable matrix models with (single trace) interactions of arbitrarily high even order in the Hermitian and real symmet…
Constructive Matrix Theory for Higher Order Interaction
Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov
This paper provides an extension of the constructive loop vertex expansion to stable matrix models with interactions of arbitrarily high order. We introduce a new representation fo…
A renormalisation group approach to the universality of Wigner's semicircle law for random matrices with dependent entries
Thomas Krajewski
We show that if the non Gaussian part of the cumulants of a random matrix model obey some scaling bounds in the size of the matrix, then Wigner's semicircle law holds. This result…
Wigner law for matrices with dependent entries - a perturbative approach
T. Krajewski, A. Tanasa, D. L. Vu
We show that Wigner semi-circle law holds for Hermitian matrices with dependent entries, provided the deviation of the cumulants from the normalised Gaussian case obeys a simple po…
Analyticity results for the cumulants in a random matrix model
Razvan Gurau, Thomas Krajewski
The generating function of the cumulants in random matrix models, as well as the cumulants themselves, can be expanded as asymptotic (divergent) series indexed by maps. While at fi…
Schwinger-Dyson Equations in Group Field Theories of Quantum Gravity
Thomas Krajewski
In this talk, we elaborate on the operation of graph contraction introduced by Gurau in his study of the Schwinger-Dyson equations. After a brief review of colored tensor models, w…
Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories
Thomas Krajewski, Vincent Rivasseau, Fabien Vignes-Tourneret
We define a new topological polynomial extending the Bollobas-Riordan one, which obeys a four-term reduction relation of the deletion/contraction type and has a natural behavior un…
Topological Graph Polynomials and Quantum Field Theory, Part I: Heat Kernel Theories
T. Krajewski, V. Rivasseau, A. Tanasa +1
We investigate the relationship between the universal topological polynomials for graphs in mathematics and the parametric representation of Feynman amplitudes in quantum field the…
Wave-Function renormalization and the Hopf algebra of Connes and Kreimer
Florian Girelli, Thomas Krajewski, Pierre Martinetti
In this talk, we show how the Connes-Kreimer Hopf algebra morphism can be extended when taking into account the wave-function renormalization. This leads us to a semi-direct produc…
Noncommutative geometry and fundamental interactions
T. Krajewski
This PhD thesis aims at describing the applications of noncommutative geometry to particle physics and quantum field theory. It includes a brief survey of the basic principles and…
Gauge invariance of the Chern-Simons action in noncommutative geometry
T. Krajewski
In complete analogy with the classical case, we define the Chern-Simons action functional in noncommutative geometry and study its properties under gauge transformations. As usual,…