Infrared exponent for gluon and ghost propagation in Landau gauge QCD

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dc.contributor.authorLerche, Christophen
dc.contributor.authorvon Smekal, Lorenz Johann Mariaen
dc.contributor.schoolSchool of Chemistry and Physicsen
dc.date.issued2002en
dc.description.abstractIn the covariant description of confinement, one expects the ghost correlations to be infrared enhanced. Assuming ghost dominance, the long-range behavior of gluon and ghost correlations in Landau gauge QCD is determined by one exponent κ. The gluon propagator is infrared finite (vanishing) for κ=1/2 (κ>1/2) which is still under debate. Here, we study the critical exponent and coupling for the infrared conformal behavior from the asymptotic form of the solutions to the Dyson-Schwinger equations in an ultraviolet finite expansion scheme. The value for κ is directly related to the ghost-gluon vertex. Assuming that it is regular in the infrared, one obtains κ≃0.595. This value maximizes the critical coupling αc(κ), yielding αcmax≃(4π/Nc)0.709≈2.97 for Nc=3. For larger κ the vertex acquires an infrared singularity in the gluon momentum; smaller ones imply infrared singular ghost legs. Variations in αc remain within 5% from κ=0.5 to 0.7. Above this range, αc decreases more rapidly with αc→0+ as κ⃗1- which sets the upper bound on κ.en
dc.description.statementofresponsibilityChristoph Lerche and Lorenz von Smekalen
dc.identifier.citationPhysical Review D, 2002; 65(12):125006en
dc.identifier.doi10.1103/PhysRevD.65.125006en
dc.identifier.issn1550-7998en
dc.identifier.urihttp://hdl.handle.net/2440/34444
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rights©2002 American Physical Societyen
dc.titleInfrared exponent for gluon and ghost propagation in Landau gauge QCDen
dc.typeJournal articleen

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