2007AIP conference proceedingsRequires access

Fitting the lattice gluon propagator and the question of positivity violation

Paulo J. Silva, Orlando Oliveira

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Abstract

The solution of Alkofer et al for the gluon propagator in Landau gauge of the Dyson‐Schwinger equations was fitted with several functional forms. We study if the lattice gluon propagator, computed using large asymmetric lattices, is well reproduced by such functional forms. Furthermore, we also check for the violation of positivity of the lattice gluon propagator.

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What this paper is about

The solution of Alkofer et al for the gluon propagator in Landau gauge of the Dyson‐Schwinger equations was fitted with several functional forms. We study if the lattice gluon propagator, computed using large asymmetric lattices, is well reproduced by such functional forms. Furthermore, we also check for the violation of positivity of the lattice gluon propagator.

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Available abstract

The solution of Alkofer et al for the gluon propagator in Landau gauge of the Dyson‐Schwinger equations was fitted with several functional forms. We study if the lattice gluon propagator, computed using large asymmetric lattices, is well reproduced by such functional forms. Furthermore, we also check for the violation of positivity of the lattice gluon propagator.

Key concepts: Propagator, Gluon, Lattice (music), Physics, Quantum electrodynamics, Particle physics, Lattice field theory, Mathematical physics

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