A New Approach to Scalar Field Theory on Noncommutative Space
High Energy Physics - Theory
2009-11-07 v2
Abstract
A new approach to constructing the noncommutative scalar field theory is presented. Not only between x_i and p_j, we impose commutation relations between x_is as well as p_js, and give a new representation of x_i,p_js. We carry out both first- and second-quantization explicitly. The second-quantization is performed in both the operator formalism and the functional integral one.
Cite
@article{arxiv.hep-th/0105002,
title = {A New Approach to Scalar Field Theory on Noncommutative Space},
author = {Yoshinobu Habara},
journal= {arXiv preprint arXiv:hep-th/0105002},
year = {2009}
}
Comments
23 pages, Greatly Improved on 4 Nov 2001