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

Dine Ousmane Samary; Mahouton Norbert Hounkonnou; Villevo Adanhounme

arxiv: 1008.1247 · v1 · pith:JBJJPORNnew · submitted 2010-08-06 · 🧮 math-ph · math.MP

Hamiltonian formulation of the Grosse-Wulkenhaar φ⁴_(star D) model

Mahouton Norbert Hounkonnou , Dine Ousmane Samary , Villevo Adanhounme This is my paper

classification 🧮 math-ph math.MP

keywords formulationconstraintsdimensionalgrosse-wulkenhaarhamiltonianmodelstaranalysis

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A Hamiltonian formulation for the Grosse-Wulkenhaar $\phi^{4}_{\star D}$ 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.

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Hamiltonian formulation of the Grosse-Wulkenhaar φ⁴_(star D) model

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