Anomalous superfluidity in 2+1 dimensional two-color lattice QCD

Abstract

We study thermodynamics of strongly coupled lattice QCD with $two$ colors of staggered fermions in $(2+1)$ dimensions. The partition function of this model can be written elegantly as a statistical mechanics of dimers and baryonloops. The model is invariant under an $SO(3)\times U(1)$ symmetry. At low temperatures we find evidence for superfluidity in the U(1) symmetry sector while the SO(3) symmetry remains unbroken. The finite temperature phase transition appears to belong to the Kosterlitz-Thouless universality class, but the superfluid density jump ${\rho }_s(T_c)$ at the critical temperature $T_c$ is anomalously higher than the normal value of $2T_c/\pi$. We show that by adding a small SO(3) symmetry breaking term to the model, the superfluid density jump returns to its normal value implying that the extra symmetry causes anomalous superfluid behavior. Our results may be of interest to researchers studying superfluidity in spin-1 systems.

arXiv commentMinor revisions. Added a paragraph. to be published in PRL

References in corpus (11)

• Spinor Bose Condensates in Optical Traps
• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Chiral Limit of Strongly Coupled Lattice Gauge Theories
• Topological defects in spinor condensates
• Phase-diagram of two-color lattice QCD in the chiral limit
• Thermodynamics of strong coupling 2-color QCD with chiral and diquark condensates
• Kosterlitz Thouless Universality in Dimer Models
• 3D two-color QCD at finite temperature and baryon density

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• Observation of wall-vortex composite defects in a spinor Bose-Einstein condensate
• Phase Transitions of S=1 Spinor Condensates in an Optical Lattice
• Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems