QCD in curved space-time: a conformal bag model

Abstract

We construct an effective low energy Lagrangian of gluodynamics which (i) satisfies all constraints imposed by the Renormalization Group; (ii) is scale and conformally invariant in the limit of vanishing vacuum energy density; (iii) matches onto the perturbative theory at short distances. This effective theory has a dual description as classical gluodynamics on a curved conformal background. Color fields are dynamically confined, and the strong coupling freezes at distances larger than the glueball size. We also make specific predictions (in particular, on the Nc dependence of glueball properties) which can be tested in lattice simulations of gluodynamics.

23 pages, 5 figures

References in corpus (4)

• On the Behavior of the Effective QCD Coupling alpha_tau(s) at Low Scales
• Toward the non-perturbative description of high energy processes
• Classical gluodynamics in curved space--time and the soft Pomeron
• Glueball Matrix Elements on Anisotropic Lattices

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• Local P Violation Effects and Thermalization in QCD: Views from Quantum Field Theory and Holography
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• Lattice gauge theory and gluon color-confinement in curved spacetime
• Remarks on confinement driven by axion-like particles in Yang-Mills theories
• Gluon recombination in high parton density QCD: inclusive pion production
• Axiomatic de Sitter quantum Yang-Mills theory with color confinement and mass gap
• On scale symmetry breaking and confinement in D=3 models
• Quantum de Sitter geometry