129 citations · 416 across the 16 of their papers we have counts for
13 papers · 1 filter
A Stochastic Analysis Approach to Tensor Field Theories
Ajay Chandra, Léonard Ferdinand
We present two different arguments using stochastic analysis to construct super-renormalizable tensor field theories, namely the and models. The f…
A Dynamical Yukawa Model
Ajay Chandra, Martin Hairer, Martin Peev
We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the Yukawa Euclidean field theory with a self-interacting…
Gauge field marginal of an Abelian Higgs model
Ajay Chandra, Ilya Chevyrev
We study the gauge field marginal of an Abelian Higgs model with Villain action defined on a 2D lattice in finite volume. Our first main result, which holds for gauge theories on a…
Stochastic quantisation of Yang-Mills-Higgs in 3D
Ajay Chandra, Ilya Chevyrev, Martin Hairer +1
We define a state space and a Markov process associated to the stochastic quantisation equation of Yang-Mills-Higgs (YMH) theories. The state space is a nonlinear met…
A priori bounds for rough differential equations with a non-linear damping term
Timothee Bonnefoi, Ajay Chandra, Augustin Moinat +1
We consider a rough differential equation with a non-linear damping drift term: \begin{align*} dY(t) = - |Y|^{m-1} Y(t) dt + σ(Y(t)) dX(t), \end{align*} where is a branched rou…
Phase transitions for
Ajay Chandra, Trishen S. Gunaratnam, Hendrik Weber
We establish a surface order large deviation estimate for the magnetisation of low temperature . As a byproduct, we obtain a decay of spectral gap for its Glauber dynamics g…
Langevin dynamic for the 2D Yang-Mills measure
Ajay Chandra, Ilya Chevyrev, Martin Hairer +1
We define a natural state space and Markov process associated to the stochastic Yang-Mills heat flow in two dimensions. To accomplish this we first introduce a space of distributio…
Local solution to the multi-layer KPZ equation
Ajay Chandra, Dirk Erhard, Hao Shen
In this article we prove local well-posedness of the system of equations on the circle where $1\leq i…
The dynamical sine-Gordon model in the full subcritical regime
Ajay Chandra, Martin Hairer, Hao Shen
We prove that the dynamical sine-Gordon equation on the two dimensional torus introduced in [HS16] is locally well-posed for the entire subcritical regime. At first glance this equ…
An analytic BPHZ theorem for regularity structures
Ajay Chandra, Martin Hairer
We prove a general theorem on the stochastic convergence of appropriately renormalized models arising from nonlinear stochastic PDEs. The theory of regularity structures gives a fa…
Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem
Ajay Chandra, Hao Shen
Upon its inception the theory of regularity structures allowed for the treatment for many semilinear perturbations of the stochastic heat equation driven by space-time white noise.…
Rigorous quantum field theory functional integrals over the p-adics I: anomalous dimensions
Abdelmalek Abdesselam, Ajay Chandra, Gianluca Guadagni
In this article we provide the complete proof of the result announced in arXiv:1210.7717 about the construction of scale invariant non-Gaussian generalized stochastic processes ove…
Rigorous quantum field theory functional integrals over the p-adics: research announcement
Abdelmalek Abdesselam, Ajay Chandra, Gianluca Guadagni
In this short note we announce the construction of scale invariant non-Gaussian generalized stochastic processes over three dimensional p-adic space. The construction includes that…