Effect of Low-Lying Fermion Modes in the ε-Regime of QCD(Particles and Fields)

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概要

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• We investigate the effects of low-lying fermion eigenmodes on the QCD partition function in the ε-regime. The fermion determinant is approximated by a truncated product of low-lying eigenvalues of the overlap Dirac operator. With two flavors of dynamical quarks, we observe that the lattice results for the lowest eigenvalue distribution, eigenvalue sum rules and partition function reproduce the analytic predictions of Leutwyler and Smilga, which strongly depend on the topological charge of the background gauge configuration. The values of the chiral condensate extracted from these measurements are consistent. For one dynamical quark flavor, on the other hand, we find an apparent disagreement among the different determinations of the chiral condensate. This may suggest the failure of the ε-expansion in the absence of a massless Nambu-Goldstone boson.

• 理論物理学刊行会の論文
• 2005-09-25

著者

• OGAWA Kenji

  School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai)

• Hashimoto Shoji

  School Of High Energy Accelerator Science The Graduate University For Advanced Studies (sokendai):hi

• Ogawa Kenji

  School Of High Energy Accelerator Science The Graduate University For Advanced Studies (sokendai)

• HASHIMOTO Shoji

  School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai):High Energy Accelerator Research Organization (KEK)

関連論文

• Low-Lying Mode Contribution to the Quenched Meson Correlators in the ε-Regime(Particles and Fields)
• Effect of Low-Lying Fermion Modes in the ε-Regime of QCD(Particles and Fields)

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