The Gluon Propagator in Lattice Landau Gauge with twisted boundary conditions

Details The Gluon Propagator in Lattice Landau Gauge with twisted boundary conditions The Gluon Propagator in Lattice Landau Gauge with twisted boundary conditions

2005-09-26

arxiv.org/abs/hep-lat/0509134v1

PoS LAT2005 (2005) 334

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 4 figures, talk given at 23rd International Symposium on Lattice Field Theory: Lattice 2005, Trinity College, Dublin,

Scientific paper

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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