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Phasediagram and Scaling Properties of the Projected SO(5) Model in Three Dimensions

In: High Performance Computing in Science and Engineering, Munich 2004

Author

Listed:
  • Martin Jöstingmeier

    (University of Würzburg, Institute for Theoretical Physics and Astrophysics)

  • Ansgar Dorneich

    (University of Würzburg, Institute for Theoretical Physics and Astrophysics)

  • Enrico Arrigoni

    (Technical University of Graz, Institute for Theoretical Physics)

  • Werner Hanke

    (University of Würzburg, Institute for Theoretical Physics and Astrophysics)

  • Shou-Cheng Zhang

    (Stanford University, Department of Physics)

Abstract

We study the scaling properties of the quantum projected SO(5) model in three dimensions by means of a highly accurate Quantum-Monte-Carlo analysis. Within the parameter regime studied (temperature and system size), we show that the scaling behavior is consistent with a SO(5)-symmetric critical behavior in the numerically accessible region. This holds both when the symmetry breaking is caused by quantum fluctuations only as well as when also the static (mean-field) symmetry is moderately broken. We argue that possible departure away from the SO(5) - symmetric scaling occurs only in an extremely narrow parameter regime, which is inaccessible both experimentally and numerically.

Suggested Citation

  • Martin Jöstingmeier & Ansgar Dorneich & Enrico Arrigoni & Werner Hanke & Shou-Cheng Zhang, 2005. "Phasediagram and Scaling Properties of the Projected SO(5) Model in Three Dimensions," Springer Books, in: Siegfried Wagner & Werner Hanke & Arndt Bode & Franz Durst (ed.), High Performance Computing in Science and Engineering, Munich 2004, pages 289-300, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-26657-0_26
    DOI: 10.1007/3-540-26657-7_26
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