This note provides a new perspective on Polchinski's exact renormalization group, by
explaining how it gives rise, via the multiscale Bakry-Émery criterion, to Lipschitz transport …

Building on previous work on the stochastic analysis for Grassmann random variables, we
introduce a forward-backward stochastic differential equation (FBSDE) which provides a …

We consider the massless Sine–Gordon model in de Sitter spacetime, in the regime β 2< 4 π
and using the framework of perturbative algebraic quantum field theory. We show that a …

In this paper, we show that the Gibbs measure of the stochastic hyperbolic sine-Gordon
equation on the circle is the unique invariant measure for the Markov process. Moreover, the …

We study the Gaussian measure whose covariance is related to the Anderson Hamiltonian
operator, proving that it admits a regular coupling to the (standard) Gaussian free field …

We present two approaches to establish the exponential decay of correlation functions of
Euclidean quantum field theories (EQFTs) via stochastic quantization (SQ). In particular we …

We present a simple PDE construction of the sine-Gordon measure below the first threshold
($\be^ 2< 4\pi $), in both the finite and infinite volume settings, by studying the …

We introduce Wilson-It\^ o diffusions, a class of random fields on $\mathbb {R}^ d $ that
change continuously along a scale parameter via a Markovian dynamics with local …

Quantum field theory (QFT) originated in the attempt to define a relativistic quantum
mechanical theory for elementary particles in the 1940s and 1950s. Today, the term is used …

We construct the massive sine-Gordon measure on the infinite volume 2 for β2< 4π using
the variational method for Euclidean quantum field theories introduced by Barashkov and …