Numerical Study of the Two Color Attoworld

Oct, 2010
21 pages
Published in:
  • JHEP 12 (2010) 057
e-Print:

Citations per year

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Abstract: (arXiv)
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.
Note:
  • 18 pages, 10 figures
  • QCD AT NON-ZERO CHEMICAL POTENTIAL
  • LATTICE GAUGE THEORY
  • Nonperturbative Effects
  • fermion number: susceptibility
  • potential: chemical
  • temperature: low
  • numerical calculations: Monte Carlo
  • gauge field theory: SU(2)
  • Polyakov loop
  • confinement