Dirac operator spectral density and low energy sum rules | Zendy

K. N. Zyablyuk | Zendy

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Dirac operator spectral density and low energy sum rules

Author(s) -

K. N. Zyablyuk

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/06/025

Subject(s) - dirac operator , pseudoscalar , quark , quantum chromodynamics , physics , spectral density , chiral perturbation theory , scalar (mathematics) , operator (biology) , spectral representation , euclidean geometry , mathematical physics , perturbation (astronomy) , representation (politics) , perturbation theory (quantum mechanics) , quantum electrodynamics , quantum mechanics , mathematics , chemistry , biochemistry , statistics , geometry , repressor , transcription factor , gene , politics , political science , law

The spectral density of euclidean Dirac operator is investigated in partiallyquenched QCD with arbitrary quark masses. A representation of scalar andpseudoscalar correlators in terms of the spectral density is discussed. Thespectral density, obtained from the partially quenched chiral perturbationtheory is shown to be compatible with low energy sum rules, obtained earlier.Comment: 8 pages, latex, published version; NLO QCD correction to the Dirac operator spectral density is added to the tex

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