Center vortex model for the infrared sector of Yang-Mills theory - Quenched Dirac spectrum and chiral condensate

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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36 LaTeX pages, 13 ps figures included via epsf; minor reformulations and added cross-referencing for the purpose of clarity

Scientific paper

10.1016/S0550-3213(02)00470-4

The Dirac operator describing the coupling of continuum quark fields to SU(2) center vortex world-surfaces composed of elementary squares on a hypercubic lattice is constructed. It is used to evaluate the quenched Dirac spectral density in the random vortex world-surface model, which previously has been shown to quantitatively reproduce both the confinement properties and the topological susceptibility of SU(2) Yang-Mills theory. Under certain conditions on the modeling of the vortex gauge field, a behavior of the quenched chiral condensate as a function of temperature is obtained which is consistent with measurements in SU(2) lattice Yang-Mills theory.

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