2 citations · 3 across the 8 of their papers we have counts for
8 papers
Renormalization flow fixed points for higher-dimensional abelian gauge fields
Rodrigo Vargas Le-Bert
A connection modulo gauge symmetry on the trivial principal bundle is a morphism from the loop group of into . Thus, considering only loops around the 2-cells of…
Field Theory Done Right
Horst Thaler, Rodrigo Vargas Le-Bert
An effective formalism for white noise analysis, conceptually equivalent to Wilsonian renormalization theory, is introduced. Space-time gets represented by a boolean lattice of coa…
Wick Ordering and Kinetic Energy Renormalization for Lévy White Noise Fields
Rodrigo Vargas Le-Bert
Let be a torus and the probability distribution of a Lévy white noise field . Using projective limit measures we address the problem…
Towards an Analytic Theory of Stochastic and Quantum Fields
Rodrigo Vargas Le-Bert
We propose a method for the rigorous construction of physically relevant functional measures. In shaping it we get several conceptual insights, which can perhaps be summarized by t…
Cylinder Measures in Renormalization Theory
Rodrigo Vargas Le-Bert
The standard approach to renormalization relies, technically, on the asymptotic perturbation of Gaussian measures embodied in Feynman diagram theory. From a mathematical standpoint…
On the geometry underlying a real Lie algebra representation
Rodrigo Vargas Le-Bert
Let be a real Lie group with Lie algebra . Given a unitary representation of , one obtains by differentiation a representation of by unbo…