46 citations · 230 across the 33 of their papers we have counts for
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Quantization of Einstein Gravity: Extraction of Hilbert Space and Constraints
H. S. Sharatchandra
In this paper, a careful treatment of extraction of the Hilbert space and constraints from the formal functional integral with the Einstein-Hilbert action is given. The diffeomorph…
Real-Space Renormalization Group for Quantum Gravity I: Significance of terms linear and quadratic in curvature
H. S. Sharatchandra
Real-Space renormalization group techniques are developed for tackling large curvature fluctuations in quantum gravity. Within cells of invariant volume , only certain types o…
Dreibein as prepotential for three-dimensional Yang-Mills theory
Indrajit Mitra, H. S. Sharatchandra
We advocate and develop the use of the dreibein (and the metric) as prepotential for three-dimensional SO(3) Yang-Mills theory. Since the dreibein transforms homogeneously under ga…
Two-potential theory of electric and magnetic charges via duality transformation
Chandrasekhar Chatterjee, Indrajit Mitra, H. S. Sharatchandra
Dirac, Schwinger and Zwanziger theories of electric and magnetic charges are obtained via duality transformation. Analogous construction for three Euclidean dimensions, with magnet…
Line discontinuities, local action with both the field and its dual, and spin from no spin in two-dimensional scalar theory
Chandrasekhar Chatterjee, E. Harikumar, Manu Mathur +2
We consider a local action with both the real scalar field and its dual in two Euclidean dimensions. The role of singular line discontinuities is emphasized. Exotic properties of t…
Accounting for monopole configurations in Yang-Mills theory in three Euclidean dimensions
Indrajit Mitra, H. S. Sharatchandra
A gauge transformation provided by the three eigenfunctions of $\B^a(x) \cdot \B^b(x)$ (where $\B^a(x)$, with a=1,2,3, are the non-Abelian magnetic fields) exposes the topological…
Are neutrino masses dynamically generated by quantum gravity attractions?
H. S. Sharatchandra
It is argued that the quantum gravity attractions dynamically generate tiny degenerate Majorana masses for the neutrinos. The unequal masses of the charged leptons then induce a co…
Criterion for dynamical chiral symmetry breaking
Bithika Jain, Indrajit Mitra, H. S. Sharatchandra
The Bethe-Salpeter equation is related to a generalized quantum-mechanical Hamiltonian. Instability of the presumed vacuum, indicated by a tachyon, is related to a negative energy…
Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators
Indrajit Mitra, Raghunath Ratabole, H. S. Sharatchandra
Instability in the scalar channel of the fermion-antifermion scattering amplitude in massless QED_3 for number of flavours less than the critical value 128/3π^2 is demonstrated. Th…
Gauge-invariant dressed fermion propagator in massless QED_3
Indrajit Mitra, Raghunath Ratabole, H. S. Sharatchandra
The infrared behaviour of the gauge-invariant dressed fermion propagator in massless QED_3 is discussed for three choices of dressing. It is found that only the propagator with the…
Gauge dependence of the infrared behaviour of massless QED_3
Indrajit Mitra, Raghunath Ratabole, H. S. Sharatchandra
Using the Zumino identities it is shown that in a class of non-local gauges, massless QED_3 has an infrared behaviour of a conformal field theory with a continuously varying anomal…
Infrared behaviour of massless QED in space-time dimensions 2 < d < 4
Indrajit Mitra, Raghunath Ratabole, H. S. Sharatchandra
We show that the logarithmic infrared divergences in electron self-energy and vertex function of massless QED in 2+1 dimensions can be removed at all orders of 1/N by an appropriat…
Perturbation theory including topological degrees of freedom: Yang-Mills theory in three Euclidean dimensions
E. Harikumar, Indrajit Mitra, H. S. Sharatchandra
A method for systematically including topological degrees of freedom in perturbation theory is developed. This is not bound by the restrictions of semi-classical techniques. The Ya…
Half-monopoles and half-vortices in the Yang-Mills theory
E. Harikumar, Indrajit Mitra, H. S. Sharatchandra
It is demonstrated that there are smooth Yang-Mills potentials which correspond to monopoles and vortices of one-half winding number. They are the generic configurations, in contra…
Topological field patterns of the Yang-Mills theory
E. Harikumar, Indrajit Mitra, H. S. Sharatchandra
It is shown that the SO(3) gauge field configurations can be completely characterised by certain gauge invariant vector fields. The singularities of these vector fields describe th…
3+1 dimensional Yang-Mills theory as a local theory of evolution of metrics on 3 manifolds
Pushan Majumdar, H. S. Sharatchandra
An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+…
Dual gluons and monopoles in 2+1 dimensional Yang-Mills theory
Ramesh Anishetty, Pushan Majumdar, H. S. Sharatchandra
2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. The dual gluons are related to diffeomorphisms of the 3-manifold. Monopoles are identified wi…
Duality transformation for 3+1 dimensional Yang-Mills theory
Pushan Majumdar, H. S. Sharatchandra
Dual form of 3+1 dimensional Yang-Mills theory is obtained as another SO(3) gauge theory. Duality transformation is realized as a canonical transformation. The The non-abelian Gaus…
General Solution of the non-abelian Gauss law and non-abelian analogs of the Hodge decomposition
Pushan Majumdar, H. S. Sharatchandra
General solution of the non-abelian Gauss law in terms of covariant curls and gradients is presented. Also two non-abelian analogs of the Hodge decomposition in three dimensions ar…
Gauge field copies
Pushan Majumdar, H. S. Sharatchandra
The problem of Wu-Yang ambiguities in 3 dimensions is related to the problem of existence of torsion free driebeins for an arbitrary potential. The ambiguity is only at the level o…
A Calculus for Leading to an Algebraic Formula for Clebsch-Gordan Coefficients
J. S. Prakash, H. S. Sharatchandra
We develop a simple computational tool for analogous to Bargmann's calculus for . Crucial new inputs are, (i) explicit representation of the Gelfand-Zetlin basis in…
Infrared Behaviour of Systems With Goldstone Bosons
Ramesh Anishetty, Rahul Basu, N. D. Hari Dass +1
We develop various complementary concepts and techniques for handling quantum fluctuations of Goldstone bosons.We emphasise that one of the consequences of the masslessness of Gold…