arXiv subjects

A. Das

Publications and source records attributed to A. Das.

166 records · Page 10Linked to original sources

arXiv1992

On the Analytic Structure of the Self-Energy for Massive Gauge Bosons at Finite Temperature

We show that the one-loop self-energy at finite temperature has a unique limit as the external momentum $p_μ\rightarrow 0$ {\it if} the loop involves propagators with distinct masses. This naturally arises in theories involving particles with different masses as is demonstrated for a toy model of two scalars as well as in a $U(1)$ Higgs theory. We show that, in spontaneously broken gauge theories, this observation nonetheless does not affect the difference between the Debye and plasmon masses, which are often thought of as the $(p_0=0, \vec{p}\to 0)$ and $(p_0\to 0,\vec{p}=0)$ limits of the self-energy.

hep-ph↗

arXiv1992

Self-duality and the Supersymmetric KdV Hierarchy

We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimension associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of Susy KdV equations from such a condition. We formulate the Susy KdV hierarchy as a vanishing curvature condition associated with the U(1) group and show how an Abelian self-duality condition in four dimension can also lead to these equations.

hep-th↗

arXiv1992

Self-Duality in 3+3 Dimensions and the KP Equation

We consider two types of generalized self-duality conditions for Yang-Mills fields on paracomplex manifolds of arbitrary dimension. We then specialize to $3+3$ dimensions and show how one can obtain the KP equation from these self-duality conditions on $SL(2,R)$ valued gauge fields.

hep-th↗

arXiv1991

The Super W_\INFTY Symmetry of the Manin-Radul Super KP Hierarchy

We show that the Manin-Radul super KP hierarchy is invariant under super W_\infty transformations. These transformations are characterized by time dependent flows which commute with the usual flows generated by the conserved quantities of the super KP hierarchy.

hep-th↗