Broken scale invariance, massless dilaton and confinement in QCD
arXiv:0809.3794 · doi:10.1088/1126-6708/2009/06/055
Abstract
Classical conformal invariance of QCD in the chiral limit is broken explicitly by scale anomaly. As a result, the lightest scalar particle (scalar glueball, or dilaton) in QCD is not light, and cannot be described as a Goldstone boson. Nevertheless basing on an effective low-energy theory of broken scale invariance we argue that inside the hadrons the non-perturbative interactions of gluon fields result in the emergence of a massless dilaton excitation (which we call the "scalaron"). We demonstrate that our effective theory of broken scale invariance leads to confinement. This theory allows a dual formulation as a classical Yang-Mills theory on a curved conformal space-time background. Possible applications are discussed, including the description of strongly coupled quark-gluon plasma and the spin structure of hadrons.
18 pages, 2 figures; v2: fixed numerous typos
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- Local P Violation Effects and Thermalization in QCD: Views from Quantum Field Theory and Holography
- Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
- Hot and dense matter: from RHIC to LHC: Theoretical overview
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