152 citations · 734 across the 74 of their papers we have counts for
76 papers
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…
The Life and Science of Thanu Padmanabhan
Jasjeet Singh Bagla, Krishnakanta Bhattacharya, Sumanta Chakraborty +21
Thanu Padmanabhan was a renowned Indian theoretical physicist known for his research in general relativity, cosmology, and quantum gravity. In an extraordinary career spanning fort…
Lie Bi-Algebras on the Non-Commutative Torus
Giovanni Landi, S. G. Rajeev
Infinitesimal symmetries of a classical mechanical system are usually described by a Lie algebra acting on the phase space, preserving the Poisson brackets. We propose that a quant…
An Infinitesimal Quantum Group Underlies Classical Fluid Mechanics
S. G. Rajeev
Arnold showed that the Euler equations of an ideal fluid describe geodesics in the Lie algebra of incompressible vector fields. We will show that helicity induces a splitting of th…
Curvature in Hamiltonian Mechanics And The Einstein-Maxwell-Dilaton Action
S. G. Rajeev
Riemannian geometry is a particular case of Hamiltonian mechanics: the orbits of the hamiltonian are the geodesics. Given a symplectic manifold (Γ,ω…
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…