A novel strong coupling expansion of the QCD Hamiltonian

Details A novel strong coupling expansion of the QCD Hamiltonian A novel strong coupling expansion of the QCD Hamiltonian

2011-04-11

arxiv.org/abs/1104.2009v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

Introducing an infinite spatial lattice with box length a, a systematic expansion of the physical QCD Hamiltonian in \lambda = 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 \lambda^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 \lambda^2 for the case of SU(2) Yang-Mills theory.

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