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...

Pangyo experimental catchment is located in Unjung Stream, which is the second tributary of the Tan River, the first tributary of the Han River, as well as Geumto Stream, which is a tributary of Unjung Stream. The area of the entire catchment is 23.1 km, with the Geumto Stream catchment spanning 9.84 km and the Unjung Stream catchment 13.26 km. Four ultrasonic stream gauges, one water level gau...

The Coulomb-gauge vector potential of a uniformly moving point charge is obtained by calculating the gauge function for the transformation between the Lorenz and Coulomb gauges. The expression obtained for the difference between the vector potentials in the two gauges is shown to satisfy a Poisson equation to which the inhomogeneous wave equation for this quantity can be reduced. The right-hand...

Four German amputees and two recently operated American amputees were available for the present study. These subjects, severally, had had cineplastic muscle tunnels placed through the flexors and extensors of the forearm, the biceps brachii, the triceps and a portion of the pectoralis major. Since these muscles had been freed from their bony insertions and deprived of their compensating skeleta...

This report documents how we developed appropriate features and applied different algorithms to interpret flow rate, pressure and temperature data from permanent downhole gauges.

New gauge fixing condition with single gauge parameter proposed by the authors is applied to the level truncated analysis of tachyon condensation in cubic open string field theory. It is found that the only one real non-trivial extremum persists to appear in the well-defined region of the gauge parameter, while the other solutions are turned out to be gauge-artifacts. Contrary to the previously...

We prove the perturbative renormalisability of pure SU(2) Yang-Mills theory in the abelian gauge supplemented with mass terms. Whereas mass terms for the gauge fields charged under the diagonal U(1) allow to preserve the standard form of the Slavnov-Taylor identities (but with modified BRST variations), mass terms for the diagonal gauge fields require the study of modified Slavnov-Taylor identi...

General Axial Gauges within a perturbative approach to QCD are plagued by 'spurious' propagator singularities. Their regularisation has to face major conceptual and technical problems. We show that this obstacle is naturally absent within a Wilsonian or 'Exact' Renormalisation Group approach and explain why this is so. The axial gauge turns out to be a xed point under the ow, and the universal ...