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19922022
most citedRenormalization in Quantum Mechanics

152 citations · 734 across the 74 of their papers we have counts for

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hep-th2022

The Mass Hyperboloid as a Poisson-Lie Group

S. G. Rajeev, Patrizia Vitale

The light cone formalism of a massive scalar field has been shown by Dirac to have many advantages. But it is not manifestly Lorentz invariant. We will show that this is a feature…

hep-th2016★ 6 cited

Highly nonlinear wave solutions in a dual to the chiral model

S. G. Rajeev, Evan Ranken

We consider a two-dimensional scalar field theory with a nilpotent current algebra, which is dual to the Principal Chiral Model. The quantum theory is renormalizable and not asympt…

hep-th2012★ 3 cited

A Non-Riemannian Metric on Space-Time Emergent From Scalar Quantum Field Theory

Arnab Kar, S. G. Rajeev

We show that the two-point function σ(x,x')=\sqrt{<[ϕ(x)-ϕ(x')]^{2}>} of a scalar quantum field theory is a metric (i.e., a symmetric positive function satisfying the triangle ineq…

hep-th2011★ 7 cited

Scalar Quantum Field Theory on Fractals

Arnab Kar, S. G. Rajeev

We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar…

hep-th2010★ 5 cited

On The Relativistic Classical Motion of a Radiating Spinning Particle in a Magnetic Field

Arnab Kar, S. G. Rajeev

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the…

hep-th2008

Hamilton-Jacobi formalism for string gas thermodynamics

Anosh Joseph, S. G. Rajeev

We show that the thermodynamics of a system of strings at high energy densities under the ideal gas approximation has a formulation in terms of Hamilton-Jacobi theory. The two para…