Research Statement:
I am a theoretical high energy physicist. I work in quantum field theory, particle theory, string theory, D-branes, general relativity and gravity theory. My research interests in physics revolve around the basic fundamentals of physics. My current research activities involve (i) study of boson stars, boson shells, black holes and wormholes in general relativity and gravity theory (-in collaboration with the Oldenburg group)(ii) instant-form and light-front and discrete light-front quantization of field theories in various dimensions (-in collaboration with the Iowa State group). I am a theoretical high energy physicist. I work in quantum field theory, particle theory, string theory, D-branes, general relativity and gravity theory. My research interests in physics revolve around the basic fundamentals of physics. My current research activities involve (i) study of boson stars, boson shells, black holes and wormholes in general relativity and gravity theory (-in collaboration with the Oldenburg group)(ii) instant-form and light-front and discrete light-front quantization of field theories in various dimensions (-in collaboration with the Iowa State group).
I am interested in the fundamentals of Theoretical Physics including Classical and Quantum Field Theory, Classical and Quantum Electrodynamics, Quantum Chromodynamics and Gauge Field Theories, String Theories, Gravity Theories and D-brane Actions, Constrained Dynamics and Light-Cone Physics, Dirac's Instant-Form and Light-Front Quantization using Hamiltonian, Path Integral and BRST Formulations. My research interests include instant-form quantization, light-front quantization and discrete light-front quantization of several field theory models in various dimensions. Study of constrained dynamical systems. Study of canonical structure, constrained dynamics, operator solutions and Hamiltonian, path Integral and BRST quantization of field theories, string theories and D-brane actions using the Dirac's relativistic instant-form and light-front dynamics and construction and quantization of gauge-invariant models. Studies include instant-form and light-front quantization of not only the the field theory models in various dimensions but also the various D-brane actions (-like the Polyakov action, Nambu-Goto, Born-Infeld-Nambu-Goto and Dirac-Born-Infeld-Nambu-Goto actions) in the presence of background fields like the constant scalar axion field, U(1) gauge field and the anti-symmetric 2-form gauge field, under appropriate gauge-fixing conditions.
My current research activities include (i) a study of the light-front and discrete light-front quantization of field theory models in various dimensions and (ii) a study of the boson stars, boson-shells, black holes and wormholes in general relativity and gravity theories.
In the early stages, I was involved in the studies involving the heavy quark and quarkonium physics (involving non-relativistic quark-anti-quark potential models), study of relativistic quark models (involving Bethe-Salpeter framework).
I am working very actively on the instant-form and light-front quantization of several field theory models in various dimensions as well as the quantization of several D-brane actions (of the Nambu-Goto-type and of the Polyakov-type) using the Hamiltonian, path integral and BRST quantizations. I have also been working on the discrete light-front quantization of some field theory models in (1+1)- (2+1)- and (3+1)- dimensions.
I am also working actively on the studies of boson stars, boson shells, black holes and wormholes involving the vector gauge field, and the complex scalar field in the presence of appropriate scalar field potentials, gravitational field and a cosmological constant (-which we treat as a free parameter taking positive as well as negative values allowing us to consider the theory in the de-Sitter as well as in the anti-de-Sitter space). These studies are now being extended to include the wormholes.