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

Mathematical Physics 2010-08-09 v1 math.MP

Abstract

A Hamiltonian formulation for the Grosse-Wulkenhaar ϕD4\phi^{4}_{\star D} model is performed. The study is based on D+1D+1 dimensional space-time formulation of DD 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.

Keywords

Cite

@article{arxiv.1008.1247,
  title  = {Hamiltonian formulation of the Grosse-Wulkenhaar $\phi^{4}_{\star D}$ model},
  author = {Mahouton Norbert Hounkonnou and Dine Ousmane Samary and Villevo Adanhounme},
  journal= {arXiv preprint arXiv:1008.1247},
  year   = {2010}
}