Numerical Study of the Two Color Attoworld

Details Numerical Study of the Two Color Attoworld Numerical Study of the Two Color Attoworld

2010-10-05

arxiv.org/abs/1010.0790v1

JHEP 1012:057,2010

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 10 figures

Scientific paper

10.1007/JHEP12(2010)057

We consider QCD at very low temperatures and non-zero quark chemical potential from lattice Monte Carlo simulations of the two-color theory in a very small spatial volume (the attoscale). In this regime the quark number rises in discrete levels in qualitative agreement with what is found analytically at one loop on S3xS1 with radius R_S3 << 1/{\Lambda}_QCD. The detailed level degeneracy, however, cannot be accounted for using weak coupling arguments. At each rise in the quark number there is a corresponding spike in the Polyakov line, also in agreement with the perturbative results. In addition the quark number susceptibility shows a similar behaviour to the Polyakov line and appears to be a good indicator of a confinement-deconfinement type of transition.

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