Hamiltonian formulation of the Grosse-Wulkenhaar $\phi^{4}_{\star D}$ model
Mahouton Norbert Hounkonnou, Dine Ousmane Samary, Villevo, Adanhounme
TL;DR
This paper develops a Hamiltonian framework for the Grosse-Wulkenhaar $ ^{4}_{\u2212 D}$ model, connecting non-local field theories with Hamiltonian dynamics and analyzing constraints and equations of motion.
Contribution
It introduces a Hamiltonian formulation for a non-local quantum field theory, providing new insights into its constraint structure and dynamics.
Findings
Constraints correspond to equations of motion.
Relevant tensors are computed and analyzed.
The formulation links non-local theories to Hamiltonian mechanics.
Abstract
A Hamiltonian formulation for the Grosse-Wulkenhaar model is performed. The study is based on dimensional space-time formulation of 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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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Black Holes and Theoretical Physics