2003/05/05 by J. B. Kogut, John B. Kogut, D. Toublan +1 · 1 citation
Physics and Astronomy · #Boson #Diquark #Goldstone boson #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-lat
paper · pdf · doi:10.1103/physrevd.68.054507
published as Phys.Rev. D68 (2003) 054507 · 32 pages LaTeX/Revtex, 8 Postscript figures
arxiv created 2003/05/05 · openalex publication_date 2003/09/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We examine the spectrum of two-color lattice QCD with one staggered quark field (four flavors) at a finite chemical potential (\ensuremathμ) for quark number, on a 123\ifmmode×\else\texttimes\fi24 lattice. First we present evidence that the system undergoes a transition to a state with a diquark condensate, which spontaneously breaks quark number at \ensuremathμ=m_\ensuremathπ/2, and that this transition is mean field in nature. We then examine the three states that would be Goldstone bosons at \ensuremathμ=0 for zero Dirac and Majorana quark masses. The predictions of chiral effective Lagrangians give a good description of the behavior of these masses for \ensuremathμ<m_\ensuremathπ/2. Except for the heaviest of these states, these predictions diverge from our measurements, once \ensuremathμ is significantly greater than m_\ensuremathπ/2. However, the qualitative behavior 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.