2008Unpublished venueRequires access

Spectral density of the QCD Dirac operator at the NLO in chiral perturbation theory

Leonardo Giusti

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Abstract

We compute the spectral density of the QCD Dirac operator by using partially quenched chiral perturbation theory (PQChPT) at the next-to-leading order (NLO). We focus on the theory with two degenerate dynamical flavors supplemented with an additional quenched one. The definition of the partially quenched (PQ) chiral theory and the computational strategy adopted here are slightly different from those that can be found in the literature [1, 2]. The spectral density is extracted from the analytic continuation of the PQ chiral condensate following Refs. [3, 4], where some of the results obtained here can be found.

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What this paper is about

We compute the spectral density of the QCD Dirac operator by using partially quenched chiral perturbation theory (PQChPT) at the next-to-leading order (NLO). We focus on the theory with two degenerate dynamical flavors supplemented with an additional quenched one. The definition of the partially quenched (PQ) chiral theory and the computational strategy adopted here are slightly different from those that can be found in the literature [1, 2]. The spectral density is extracted from the analytic continuation of the PQ chiral condensate following Refs. [3, 4], where some of the results obtained here can be found.

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Available abstract

We compute the spectral density of the QCD Dirac operator by using partially quenched chiral perturbation theory (PQChPT) at the next-to-leading order (NLO). We focus on the theory with two degenerate dynamical flavors supplemented with an additional quenched one. The definition of the partially quenched (PQ) chiral theory and the computational strategy adopted here are slightly different from those that can be found in the literature [1, 2]. The spectral density is extracted from the analytic continuation of the PQ chiral condensate following Refs. [3, 4], where some of the results obtained here can be found.

Key concepts: Dirac operator, Chiral perturbation theory, Quantum chromodynamics, Degenerate energy levels, Physics, Perturbation theory (quantum mechanics), Operator (biology), Perturbation (astronomy)

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