542 citations · 4.7k across the 170 of their papers we have counts for
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UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge
D. Dudal, J. A. Gracey, R. F. Sobreiro +2
We prove that three-dimensional Yang-Mills theories in the Landau gauge supplemented with a infrared regulating, parity preserving mass term are ultraviolet finite to all orders. W…
Dimension two gluon condensates in a variety of gauges and a gauge invariant Yang-Mills action with a mass
D. Dudal, M. A. L. Capri, J. A. Gracey +4
We give a short overview of our work concerning the dimension two operator A^2 in the Landau gauge and its generalizations to other gauges. We conclude by discussing recent work th…
A local non-Abelian gauge invariant action stemming from the nonlocal operator F 1/D^2 F
D. Dudal, M. A. L. Capri, J. A. Gracey +4
We report on the nonlocal gauge invariant operator of dimension two, F 1/D^2 F. We are able to localize this operator by introducing a suitable set of (anti)commuting antisymmetric…
Gribov ambiguities in the maximal Abelian gauge
D. Dudal, M. A. L. Capri, J. A. Gracey +5
The effects of the Gribov copies on the gluon and ghost propagators are investigated in SU(2) Euclidean Yang-Mills theory quantized in the maximal Abelian gauge. By following Gribo…
Quantum properties of a non-Abelian gauge invariant action with a mass parameter
M. A. L. Capri, D. Dudal, J. A. Gracey +4
We continue the study of a local, gauge invariant Yang-Mills action containing a mass parameter, which we constructed in a previous paper starting from the nonlocal gauge invariant…
The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal Abelian gauge
M. A. L. Capri, D. Dudal, J. A. Gracey +5
We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). T…