Scalar susceptibility in QCD and the multiflavor Schwinger model

Simple item page
dc.creatorSmilga, A.
dc.creatorVerbaarschot, J. J. M.
dc.date1995-11-30
dc.date1995-12-05
dc.date.accessioned2026-07-07T12:03:16Z
dc.date.available2026-07-07T12:03:16Z
dc.descriptionWe evaluate the leading infrared behavior of the scalar susceptibility in QCD and in the multiflavor Schwinger model for small non-zero quark mass $m$ and/or small nonzero temperature as well as the scalar susceptibility for the finite volume QCD partition function. In QCD, it is determined by one-loop chiral perturbation theory, with the result that the leading infrared singularity behaves as $\sim \log m$ at zero temperature and as $\sim T/\sqrt m$ at finite temperature. In the Schwinger model with several flavors we use exact results for the scalar correlation function. We find that the Schwinger model has a phase transition at $T=0$ with critical exponents that satisfy the standard scaling relations. The singular behavior of this model depends on the number of flavors with a scalar susceptibility that behaves as $\sim m^{-2/(N_f+1)}$. At finite volume $V$ we show that the scalar susceptibility is proportional to $1/m^2V$. Recent lattice calculations of this quantity by Karsch and Laermann are discussed.
dc.description18 pages, Latex. Added reference
dc.identifierhttps://arxiv.org/abs/hep-ph/9511471
dc.identifierhttp://arxiv.org/abs/hep-ph/9511471
dc.identifierPhys.Rev.D54:1087-1093,1996
dc.identifierdoi:10.1103/PhysRevD.54.1087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207722
dc.subjectHigh Energy Physics - Phenomenology
dc.titleScalar susceptibility in QCD and the multiflavor Schwinger model
dc.typetext

Files

Collections

arXiv