A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon [PDF]
, 2006 We pursue the study of SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge by taking into account the effects of the Gribov horizon. The Gribov approximation, previously introduced in [1], is improved through the introduction of the horizon ...
Capri, M. A. L. +4 more
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An algorithm to compute abelian subalgebras in linear algebras of upper-triangular matrices [PDF]
, 2009 This paper deals with the maximal abelian dimension of the Lie algebra hn, of nxn upper-triangular matrices. Regarding this, we obtain an algorithm which computes abelian subalgebras of hn as well as its implementation (and a computational study) by ...
Ceballos González, Manuel +2 more
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Off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge [PDF]
, 2005 We investigate a dynamical mass generation mechanism for the off-diagonal gluons and ghosts in SU(N) Yang-Mills theories, quantized in the maximal Abelian gauge. Such a mass can be seen as evidence for the Abelian dominance in that gauge.
Dudal, D. +6 more
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The Maximal Abelian Dimension of a Lie Algebra, Rentschler’s Property and Milovanov’s Conjecture [PDF]
Algebras and Representation Theory, 2019 A finite dimensional Lie algebra L with magic number c(L) is said to satisfy Rentschler's property if it admits an abelian Lie subalgebra H of dimension at least c(L) - 1. We study the occurrence of this new property in various Lie algebras, such as nonsolvable, solvable, nilpotent, metabelian and filiform Lie algebras.
openaire +4 more sources
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra [PDF]
, 2003 If $\frak g$ is a complex simple Lie algebra, and $k$ does not exceed the dual Coxeter number of $\frak g$, then the k$^{th}$ coefficient of the $dim \frak g$ power of the Euler product may be given by the dimension of a subspace of $\wedge^k\frak g ...
Kostant, Bertram
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The `BRST-invariant' Condensate of Dimension Two in QCD [PDF]
, 2003 The status of the `BRST-invariant' condensate of mass dimension two in QCD is explained. The condensate is only invariant under an `on-shell' BRST symmetry which includes a partial gauge-fixing.
't Hooft +20 more
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The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge [PDF]
, 2001 A BRST perturbative analysis of SU(N) Yang-Mills theory in a class of maximal Abelian gauges is presented. We point out the existence of a new nonintegrated renormalizable Ward identity which allows to control the dependence of the theory from the ...
Fazio, A. R. +3 more
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An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge [PDF]
, 2004 We investigate a dynamical mass generation mechanism for the off-diagonal gluons and ghosts in SU(N) Yang-Mills theories, quantized in the maximal Abelian gauge. Such a mass can be seen as evidence for the Abelian dominance in that gauge.
A. C. Aguilar +16 more
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International Journal of Computer Mathematics, 2014 n this paper, we show an algorithmic procedure to compute abelian subalgebras and ideals of a given finite-dimensional Leibniz algebra, starting from the non-zero brackets in its law. In order to implement this method, the symbolic computation package MAPLE 12 is used.
Ceballos González, Manuel +2 more
openaire +2 more sources
Generic Vanishing Index and the Birationality of the Bicanonical Map of Irregular Varieties [PDF]
, 2011 We prove that any smooth complex projective variety with generic vanishing index bigger or equal than 2 has birational bicanonical map. Therefore, if X is a smooth complex projective variety X with maximal Albanese dimension and non-birational ...
Lahoz, Martí
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