### Abstract

We study thermodynamics of strongly coupled lattice QCD with two colors of massless staggered fermions as a function of the baryon chemical potential μ in 3+1 dimensions using a new cluster algorithm. We find evidence that the model undergoes a weak first order phase transition at μ=0 which becomes second order at a finite μ. Symmetry considerations suggest that the universality class of these phase transitions should be governed by a O(N)×O(2) field theory with collinear order, with N=3 at μ=0 and N=2 at μ≠0. The universality class of the second order phase transition at μ≠0 appears to be governed by the decoupled XY fixed point present in the O(2)×O(2) field theory. Finally we show that the quantum (T=0) phase transition as a function of μ is a second order mean field transition.

Original language | English |
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Article number | 014506 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 74 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2006 Jul 14 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*74*(1), [014506]. https://doi.org/10.1103/PhysRevD.74.014506