Numerical Study of the Two Color Attoworld

Abstract

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/Λ_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.

18 pages, 10 figures

References in corpus (2)

• The QCD transition temperature: results with physical masses in the continuum limit
• Deconfinement in dense 2-color QCD

Cited by in corpus (15)

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• Towards the phase diagram of dense two-color matter
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• Complex saddle points in QCD at finite temperature and density
• The phase diagram of a gauge theory with fermionic baryons
• The fine structure of the entanglement entropy in the classical XY model
• Complex Langevin calculations in QCD at finite density
• Grand canonical ensemble, multi-particle wave functions, scattering data, and lattice field theories
• Weak coupling large-N transitions at finite baryon density
• Spinning flavour branes and fermion pairing instabilities
• The Phase Diagram of Two Color QCD
• Color superconductivity on the lattice -- analytic predictions from QCD in a small box
• Confinement on $R^3\times S^1$: continuum and lattice
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• The dynamics of zero modes in lattice gauge theory -- difference between SU(2) and SU(3) in 4D