Research Interests

My Research Interests:

I am a theoretical physicist and my research interests in physics revolve around the basic fundamentals of physics. I like to work on the Formal Aspects of Quantum Field Theory and Particle Physics, General Relativity and Models of Gravity Theory, String Theory and Superstring Theory, Physics of Boson Stars, Boson Shells, Black Holes, Wormholes and Time Travel.

My research activities (in collaboration with the Delhi Group, Iowa Group, and the Oldenburg Group) focus mainly on the following major themes: 

(i) Instant-form and light-front quantization of various field theory models, string theory and superstring theory models and D-brane actions, using the Hamiltonian, path integral and BRST formulations and the discrete light-front quantization (DLFQ) of filed theory models in 2D, 3D, and 4d, using the periodic and anti-periodic boundary conditions and also using the coherent state formalism.

In field theory models, I consider chiral, Abelian Higgs models, class of vector and chiral Schwinger models , nonlinear and gauged nonlinear sigma models in 2D, Cher-Simns Hihhs theories, Nelsen-Olesen (Bogomol'nyi) models in 3D as well as the QCD models in 2D, like the laarge N QCD models in 2D and the restricted gauge theory of QCD in 2D. We consider the instant-form and light-front quantization of all such models and the DLFQ of some of them wherever possible.

In string theory and D-brane actions, we consider the instant-form and light-front quantization of several D-brane actions (of the Nambu-Goto type and of the Polyakov type) using the Hamiltonian and path integral quantizations. The quantization of the superstring theory models is being currently considered.

(ii) Study of the models of gravity including the study of boson stars, boson shells, black holes and wormholes in general relativity, involving the complex scalar field, the vector gauge field and the gravitational field in the presence of a cosmological constant (which we treat as a free parameter taking positive as wellas the negative values which allows us to consider the theory in the de-Sitter as well as in the Anti-de-Sitter spaces). These studies are also being extended to include the wormholes. For a study of the compact boson stars and boson shells the theory is considered in the presence of appropriate scalar field self interacting potentials.

(iii) In the early stages, I have alsostudied the heavy quark (and quarkonium) physics (involving the quark-anti quark potentials models) as well as the more sophisticated relativistic quark models (involving the Bethe-Salpeter approach) in particle physics.