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Hamiltonian formulation of the Grosse-Wulkenhaar $ϕ^{4}_{\star D}$ model

arXiv:1008.1247

Abstract

A Hamiltonian formulation for the Grosse-Wulkenhaar $ϕ^{4}_{\star D}$ model is performed. The study is based on $D+1$ dimensional space-time formulation of $D$ dimensional non-local theories. The analysis of constraints shows that the secondary constraints describe the Euler-Lagrange equations of motion. Relevant tensors are computed and analyzed.