We consider Yang-Mills theory in a general class of Abelian gauges. Exploiting the residual Abelian symmetry on a quantum level, we derive a set of Ward identities in functional form, valid to all orders in perturbation theory. As a consequence, the coupling constant is only renormalised through the Abelian two-point function. This implies that asymptotic freedom in all Abelian gauges can be un...

The confinement of colored objects in QCD is, even after more than thirty years, still a challenging problem. The progress which has been made in its understanding during the last years has been mainly along two directions, which are at first sight quite different. One is based on topological field configurations, like vortices [1]. The other investigates the properties of Green’s functions [2]...

For measurement of existing thread parameters using profile scanning, system error increases as pitch diameter, difference between the calibrating thread and measuring thread increases with the single gauge calibration method. There are several alignment deviations affecting the measurement of pitch diameter. To reduce the system error, a compensation method using two standard thread gauges to ...

This paper presents a consistent theory for describing indeterminacy and uncertainty of 3-D reconstruction from a sequence of images. First, we present a group-theoretical analysis of gauge transformations and gauges by invoking the Lie group theory. We then discuss how to evaluate the reliability of the solution that has indeterminacy. We also extend the Cramer-Rao lower bound to problems with...

The differences between the on-shell mass and width of the Higgs boson and their pole counterparts are evaluated in leading order. For a heavy Higgs boson, they are found to be sensitive functions of the gauge parameter and become numerically large over a class of gauges that includes the unitary gauge. For a light Higgs boson, the differences remain small in all gauges. The pinch-technique mas...

Recently, it is shown that the extended phase space formulation of quantum mechanics is a suitable technique for studying the quantum dissipative system. Here, as an application of this formalism, we consider a dissipa-tive system of charged particles interacting with an external time dependent electric field. Such a system has been investigating by Buch and Denman, and two solutions with compl...

Gauge theories in axial gauges are studied using Exact Renormalisation Group flows. We introduce a background field in the infrared regulator, but not in the gauge fixing, in contrast to the usual background field gauge. We discuss the absence of spurious singularities and the finiteness of the flow. It is shown how heat-kernel methods can be used to obtain approximate solutions to the flow and...

We study the Landau gauge propagators of the lattice SU(2) 3d adjoint Higgs model, considered as an effective theory of high temperature 4d SU(2) gauge theory. From the long distance behaviour of the propagators we extract the screening masses. It is shown that the pole masses extracted from the propagators agree well with the screening masses obtained recently in finite temperature SU(2) theor...

We report on the lattice quark propagator using standard and improved Staggered quark actions, with the standard, Wilson gauge action. The standard Kogut-Susskind action has errors of O(a) while the “Asqtad” action has O(a), O(ag) errors. The quark propagator is interesting for studying the phenomenon of dynamical chiral symmetry breaking and as a test-bed for improvement. Gauge dependent quant...

We develop a calculus for the oscillation index of Baire one functions using gauges analogous to the moduli of continuity.