Three Dimensional Gauge Theory with Topological and Non-topological Mass: Hamiltonian and Lagrangian Analysis

Three dimensional (abelian) gauged massive Thirring model is bosonized in the large fermion mass limit. A further integration of the gauge field results in a non-local theory. A truncated version of that is the Maxwell Chern Simons (MCS) theory with a conventional mass term or MCS Proca theory. This gauge invariant theory is completely solved in the Hamiltonian and Lagrangian formalism, with the spectra of the modes determined. Since the vector field constituting the model is identified (via bosonization) to the fermion current, the charge current algebra, including the Schwinger term is also computed in the MCS Proca model.Comment: Eight pages, Latex, No figures

Aging during Phase Separation in Long-Range Ising Model

The kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still not well established in the cases where long-range interactions are involved. Here we present related results from the Monte Carlo simulations of the two-dimensional long-range Ising model (LRIM). Random initial configurations, for $50:50$ compositions of up and down spins, mimicking high temperature equilibrium states, have been quenched to temperatures inside the coexistence curve. Our analysis of the simulation data, for such a protocol, shows interesting dependence of the aging exponent, $\lambda$, on $\sigma$, the parameter, within the Hamiltonian, that controls the range of interaction. To complement these results, we also discuss simulation outcomes for the growth exponent. The obtained values of $\lambda$ are compared with a well-known result for the lower bounds. For this purpose we have extracted interesting properties of the evolving structure.Comment: 9 pages, 5 figure

Self-interaction effects on screening in three-dimensional QED

We have shown that self interaction effects in massive quantum electrodynamics can lead to the formation of bound states of quark antiquark pairs. A current-current fermion coupling term is introduced, which induces a well in the potential energy profile. Explicit expressions of the effective potential and renormalized parameters are provided