Hamiltonian Formalism for Space-time Non-commutative Theories

Gomis, Joaquim; Kamimura, Kiyoshi; Llosa, Josep

Hamiltonian Formalism for Space-time Non-commutative Theories

Authors

Gomis, Joaquim

Kamimura, Kiyoshi

Llosa, Josep

Description

Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for non-local field theories in d space-time dimensions by considering auxiliary d+1 dimensional field theories which are local with respect to the evolution time. The Hamiltonian path integral quantization is considered and the Feynman rules in the Lagrangian formalism are derived. The case of non-commutative ϕ^3 theory is considered as an example.
6 pages, A new section is added with other comments and references. To appear in PRD