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Satish D. Joglekar

Publications and source records attributed to Satish D. Joglekar.

26 records · Page 2Linked to original sources
arXiv2000

Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale

we show there exists a mathematically consistent framework in which the Renormalization Program can be understood in a natural manner. The framework does not require any violations of mathematical rigor usually associated with the Renormalization program. We use the framework of the non-local field theories [these carry a finite mass scale (Λ)]and set up a finite perturbative program. We show how this program leads to the perturbation series of the usual renormalization program [except one difference] if the series is restructured .We further show that the comparison becomes possible if there exists a finite mass scale (Λ), with certain properties, in the Quantum Field theory [which we take to be the scale present in the nonlocal theory]. We give a way to estimate the scale (Λ). We also show that the finite perturbation program differs from the usual renormalization program by a term; which we propose can also be used to put a bound on (Λ).

hep-th↗
arXiv2000

Nonlocal Regularization For Non-Abelian Gauge Theories For Arbitrary Gauge Parameter

We study the nonlocal regularization for the non-abelian gauge theories for an arbitrary value of the gauge parameter (ξ). We show that the procedure for the nonlocalization of field theories established earlier by the original authors, when applied in that form to the Faddeev-Popov effective action in a linear gauge cannot lead to a (ξ)-independent result for the observables. We then show that an alternate procedure which is simpler can be used and that it leads to the S-matrix elements (where they exist) independent of (ξ).

hep-th↗
arXiv1999

Correct Treatment of 1/(η\cdot k)^p Singularities in the Axial Gauge Propagator

The propagators in axial-type, light-cone and planar gauges contain 1/(η\cdot k)^p-type singularities. These singularities have generally been treated by inventing prescriptions for them. In this work, we propose an alternative procedure for treating these singularities in the path integral formalism using the known way of treating the singularities in Lorentz gauges. To this end, we use a finite field-dependent BRS transformation that interpolates between Lorentz-type and the axial-type gauges. We arrive at the $ε$-dependent tree propagator in the axial-type gauges. We examine the singularity structure of the propagator and find that the axial gauge propagator so constructed has {\it no} spurious poles (for real $k$). It however has a complicated structure in a small region near $η\cdot k=0$. We show how this complicated structure can effectively be replaced by a much simpler propagator.

hep-th↗
arXiv1999

A superspace formulation of an "asymptotic" OSp(3,1|2) invariance of Yang-Mills theories

We formulate a superspace field theory which is shown to be equivalent to the $c-\bar{c}$ symmetric BRS/Anti-BRS invariant Yang-Mills action. The theory uses a 6-dimensional superspace and one OSp(3,1|2) vector multiplet of unconstrained superfields. We establish a superspace WT identity and show that the formulation has an asymptotic OSp(3,1|2) invariance as the gauge parameter goes to infinity. We give a physical interpretation of this asymptotic OSp(3,1|2) invariance as a symmetry transformation among the longitudinal/time like degrees of freedom of $A_μ$ and the ghost degrees of freedom.

hep-th↗
arXiv1997

WT identities for proper vertices and renormalization in a superspace formulation of gauge theories

We formulate the WT identity for proper vertices in a simple and compact form $\partial Γ/ {\partial θ} =0 $ in a superspace formulation of gauge theories proposed earlier. We show this WT identity (together with a subsidiary constraint) lead, in transparent way, the superfield superspace multiplet renormalizations formulated earlier (and shown to explain symmetries of Yang-Mills theory renormalization).

hep-th↗
arXiv1997

Bound on nonlocal scale from g-2 of muon in a nonlocal WS model

We consider the nonlocal version of the Weinberg Salam model (following Kleppe et al.) with a finite parameter $Λ$ signifying a fundamental length scale.We calculate the extra contributions to the anomalous magnetic moment of the muon coming from the nonlocal structure in this model.We find that the nonlocal contribution can be comparable to weak contributions and goes to increase theoretical estimates. We use this calculation to determine the limit on the scale of nonlocality.We obtain the result $1/Λ\lessim 3 \times 10^{-16} $cm,which could be improved when present experimental errors narrow down.

hep-ph↗
arXiv1995

Local BRS Transformations and Osp(3,1|2) Symmetry of Yang-Mills Theories

We consider a certain local generalization of BRS transformations of Yang-Mills theory in which the anti-commuting parameter is space time dependent. While these are not exact symmetries, they do lead to a new nontrivial WT identity. We make a precise connection between the ``local BRS "and the broken orthosymplectic symmetry recently found in superspace formulation of Yang-Mills theory by showing that the local BRS WT identity is precisely the WT identity obtained in the superspace formulation via a superrotation. This ``local BRS " WT identity could lead to new consequences not contained in the usual BRS WT identity.

hep-th↗