Glueball spectrum and hadronic processes in low-energy QCD

Abstract

Low-energy limit of quantum chromodynamics (QCD) is obtained using a mapping theorem recently proved. This theorem states that, classically, solutions of a massless quartic scalar field theory are approximate solutions of Yang-Mills equations in the limit of the gauge coupling going to infinity. Low-energy QCD is described by a Yukawa theory further reducible to a Nambu-Jona-Lasinio model. At the leading order one can compute glue-quark interactions and one is able to calculate the properties of the $\sigma$ and $\eta -{\eta }^{\prime }$ mesons. Finally, it is seen that all the physics of strong interactions, both in the infrared and ultraviolet limit, is described by a single constant $\Lambda$ arising in the ultraviolet by dimensional transmutation and in the infrared as an integration constant.

4 pages. Contribution to proceedings of QCD 10 Conference, (Montpellier, France, 28th June - 3rd July 2010). Added references and improved some contents

References in corpus (8)

• Mass and width of the lowest resonance in QCD
• Masses, decays and mixings of gluonia in QCD
• Infrared Gluon and Ghost Propagators
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
• The sigma and f_0(980) from Ke4 + pi-pi scatterings data
• Strongly coupled quantum field theory
• Strong coupling expansion for general relativity
• Infrared QCD

Cited by in corpus (5)

• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Chiral symmetry in the low-energy limit of QCD at finite temperature
• Di-Gluonium Sum Rules, I = 0 Scalar Mesons and Conformal Anomaly
• Gauge invariant gluon spin operator for spinless non-linear wave solutions