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## 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 \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.Comment: Talk given at the 6th International Workshop on "Critical Point and Onset of Deconfinement (CPOD)", Dubna, Russia, 23-29 August 201

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology
Year: 2012
DOI identifier: 10.1134/S1063778812060269
OAI identifier: oai:arXiv.org:1104.2009