Fermions obstruct dimensional reduction in hot QCD

Abstract

We have studied, for the first time, screening masses obtained from glueball-like correlators in Quantum Chromodynamics with four light dynamical flavours of quarks in the temperature range 1.5T_c < T < 3T_c, where T_c is the temperature at which the chiral transition occurs. We have also studied pion-like and sigma-like screening masses, and found that they are degenerate in the entire range of T. These obstruct perturbative dimensional reduction since the lowest glueball screening mass is heavier than them. Extrapolation of our results suggests that this obstruction may affect the entire range of temperature expected to be reached even at the Large Hadron Collider.

arXiv comment4 pages RevTeX, 2 eps figures included; minor corrections: version for publication

References in corpus (10)

• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• The non-Abelian Debye screening length beyond leading order
• Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories
• Dimensional Reduction and Screening Masses in Pure Gauge Theories at Finite Temperature
• Asymptotic Behavior of the Correlator for Polyakov Loops
• Screening Masses of Hot SU(2) Gauge Theory from the 3d Adjoint Higgs Model
• Glueball-Like Screening Masses in Pure SU(3) at Finite Temperatures
• Screening Masses in SU(2) Pure Gauge Theory
• Representations of Fermionic Correlators at Finite Temperatures
• Probing the quark-gluon plasma with a new Fermionic correlator

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• A precise determination of T_c in QCD from scaling
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