The pseudo-Goldstone spectrum of 2-colour QCD at finite density

Details The pseudo-Goldstone spectrum of 2-colour QCD at finite density The pseudo-Goldstone spectrum of 2-colour QCD at finite density

2003-05-05

arxiv.org/abs/hep-lat/0305003v1

Phys.Rev. D68 (2003) 054507

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages LaTeX/Revtex, 8 Postscript figures

Scientific paper

10.1103/PhysRevD.68.054507

We examine the spectrum of 2-colour lattice QCD with 4 continuum flavours at a finite chemical potential ($\mu$) for quark-number, on a $12^3 \times 24$ lattice. First we present evidence that the system undergoes a transition to a state with a diquark condensate, which spontaneously breaks quark number at $\mu=m_\pi/2$, and that this transition is mean field in nature. We then examine the 3 states that would be Goldstone bosons at $\mu=0$ for zero Dirac and Majorana quark masses. The predictions of chiral effective Lagrangians give a good description of the behaviour of these masses for $\mu < m_\pi/2$. Except for the heaviest of these states, these predictions diverge from our measurements, once $\mu$ is significantly greater than $m_\pi/2$. However, the qualitative behaviour of these masses, indicates that the physics is very similar to that predicted by these effective Lagrangians, and there is some indication that at least part of these discrepancies is due to saturation, a lattice artifact.

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