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The Gluon Propagator in Lattice Landau Gauge with twisted boundary conditions

Torsten Tok·Kurt Langfeld·Hugo Reinhardt·Lorenz von Smekal
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Abstract

We investigate the infrared behaviour of the gluon propagator in Landau gauge on a lattice with twisted boundary conditions. Analytic calculations using Dyson-Schwinger equations, exact renormalization group and stochastic quantization show that the gluon propagator in Landau gauge approaches zero for small momentum. On the other hand lattice calculations and calculations on a four-torus seem to give rise to a non-zero limit. One possible reason for this difference is the existence of zero-momentum fluctuation modes which potentially give a massive contribution to the gluon propagator. Our simulations show that with twisted boundary conditions these zero-momentum modes are suppressed and the gluon propagator becomes smaller than in a periodic ensemble.

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Torsten Tok, Kurt Langfeld, Hugo Reinhardt, Lorenz von Smekal. 2005-09-26. The Gluon Propagator in Lattice Landau Gauge with twisted boundary conditions. https://arxiv.org/abs/hep-lat/0509134

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