A novel strong coupling expansion of the QCD Hamiltonian

Abstract

Introducing an infinite spatial lattice with box length a, a systematic expansion of the physical QCD Hamiltonian in λ= g^{-2/3} can be obtained. The free part is the sum of the Hamiltonians of the quantum mechanics of spatially constant fields for each box, and the interaction terms proportional to λ^n contain n discretised spatial derivatives connecting different boxes. As an example, the energy of the vacuum and the lowest scalar glueball is calculated up to order λ^2 for the case of SU(2) Yang-Mills theory.

Talk given at the 6th International Workshop on "Critical Point and Onset of Deconfinement (CPOD)", Dubna, Russia, 23-29 August 2010

References in corpus (5)

• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• Unconstrained SU(2) Yang-Mills Theory with Topological Term in the Long-Wavelength Approximation
• SU(2) Yang-Mills quantum mechanics of spatially constant fields
• Expansion of the Yang-Mills Hamiltonian in spatial derivatives and glueball spectrum
• SU(2) Dirac-Yang-Mills quantum mechanics of spatially constant quark and gluon fields