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Exploring the chiral regime of QCD in the interacting instanton liquid model

M. CristoforettiDipartimento di Fisica and I.N.F.N., Università degli Studi di Trento, Via Sommarive 15, Povo (Trento) 38050 Italy. and European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Strada delle Tabarelle 286, Villazzano (Trento), I-38050 ItalyPietro FaccioliDipartimento di Fisica and I.N.F.N., Università degli Studi di Trento, Via Sommarive 15, Povo (Trento) 38050 Italy. and European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Strada delle Tabarelle 286, Villazzano (Trento), I-38050 ItalyM. TrainiDipartimento di Fisica and I.N.F.N., Università degli Studi di Trento, Via Sommarive 15, Povo (Trento) 38050 Italy. and European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Strada delle Tabarelle 286, Villazzano (Trento), I-38050 ItalyJohn NegeleMassachusetts Institute of Technology
2007en
ABI

Аннотация

The interacting instanton liquid model (IILM) is used to explore the role of instanton-induced dynamics in hadron structure. To support the validity of this model in the chiral regime, the quark mass dependencies of several properties are shown to agree with chiral perturbation theory, including the density of eigenmodes of the Dirac operator and the mass of the pion. A quark mass ${m}^{*}=80\text{ }\text{ }\mathrm{MeV}$ emerging naturally from the model is shown to specify the mass scale above which the fermion determinant is suppressed, the zero modes become subdominant, and the density of quasizero modes become independent of the quark mass.

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