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On the Coleman-Hill Theorem
Avinash Khare, R. MacKenzie, M. B. Paranjape
The Coleman-Hill theorem prohibits the appearance of radiative corrections to the topological mass (more precisely, to the parity-odd part of the vacuum polarization tensor at zero…
Term by Spontaneous Symmetry Breaking in a generalized Abelian Higgs Model
Pijush K. Ghosh, Avinash Khare, Prasanta K. Panigrahi
We show that the topological term in dimensions can be generated via spontaneous symmetry breaking in a generalized Abelian Higgs model. Further, we also show th…
The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator
R. K. Bhaduri, Avinash Khare, J. Law
The Argand diagram is used to display some characteristics of the Riemann Zeta function. The zeros of the Zeta function on the complex plane give rise to an infinite sequence of cl…
Supersymmetry and Quantum Mechanics
Fred Cooper, Avinash Khare, Uday Sukhatme
In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper unders…
Self-Dual Charged Vortices of Finite Energy per Unit Length in Dimensions
Pijush K. Ghosh, Avinash Khare
We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in dimensions. I…