Topological susceptibility from the overlap

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Topological susceptibility from the overlap

The chiral symmetry at finite lattice spacing of Ginsparg-Wilson fermionic actions constrains the renormalization of the lattice operators; in particular, the topological susceptibility does not require any renormalization, when using a fermionic estimator to define the topological charge. Therefore, the overlap formalism appears as an appealing candidate to study the continuum limit of the top...

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Using a reweighting technique combined with a low-mode truncation of the fermionic determinant, we estimate the quark-mass dependence of the QCD topological susceptibility with overlap fermions. In contrast to previous lattice simulations which all used non-chiral fermions, our results appear to be consistent with the simple continuum model of Dürr. This indicates that at current lattice spacin...

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Two recent methods[1,2] for measuring the topological susceptibility, χt = 〈Q〉 V , in pure SU(2) gauge theory using the lattice regularization are considered to be in disagreement. In one method[1], the gauge fields are smoothed with an improved cooling technique while the topological charge Q is calculated using a lattice discretization. In the other method[2], inverse-blocking is employed to ...

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2004

ISSN: 1029-8479

DOI: 10.1088/1126-6708/2004/02/003