43 citations · 82 across the 7 of their papers we have counts for
7 papers
On A Finite Range Decomposition of the Resolvent of a Fractional Power of the Laplacian II. The Torus
P. K. Mitter
In previous papers, [M1, M2], [M3], we proved the existence as well as regularity of a finite range decomposition for the resolvent $G_α (x-y,m^2) = ((-Δ)^{α\over 2} + m^{2})^{-1}…
On a Finite Range Decomposition of the Resolvent of a Fractional Power of the Laplacian
P. K. Mitter
We prove the existence as well as regularity of a finite range decomposition for the resolvent , for and all real …
On the Convergence to the Continuum of Finite Range Lattice Covariances
David C. Brydges, P. K. Mitter
In J. Stat. Phys. 115, 415-449 (2004) Brydges, Guadagni and Mitter proved the existence of multiscale expansions of a class of lattice Green's functions as sums of positive definit…
The Global Renormalization Group Trajectory in a Critical Supersymmetric Field Theory on the Lattice Z^3
P. K. Mitter, B. Scoppola
We consider an Euclidean supersymmetric field theory in given by a supersymmetric perturbation of an underlying massless Gaussian measure on scalar bosonic and Grassman…
CRITICAL (Phi^{4}_{3,ε})
D. C. Brydges, P. K. Mitter, B. Scoppola
The Euclidean $(ϕ^{4})_{3,ε$ model in corresponds to a perturbation by a interaction of a Gaussian measure on scalar fields with a covariance depending on a real parame…
Renormalization group approach to interacting polymerised manifolds
P. K. Mitter, B. Scoppola
We propose to study the infrared behaviour of polymerised (or tethered) random manifolds of dimension D interacting via an exclusion condition with a fixed impurity in d-dimensiona…