A New Approach to Scalar Field Theory on Noncommutative Space | Zendy

Yoshinobu Habara | Zendy

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A New Approach to Scalar Field Theory on Noncommutative Space

Author(s) -

Yoshinobu Habara

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.107.211

Subject(s) - noncommutative geometry , physics , noncommutative quantum field theory , formalism (music) , scalar field theory , quantization (signal processing) , scalar field , mathematical physics , second quantization , noncommutative algebraic geometry , theoretical physics , commutation , scalar multiplication , scalar (mathematics) , quantum mechanics , quantum , mathematics , creation and annihilation operators , quantum gravity , algorithm , art , musical , visual arts , geometry , voltage

A new approach to constructing the noncommutative scalar field theory ispresented. Not only between x_i and p_j, we impose commutation relationsbetween x_is as well as p_js, and give a new representation of x_i,p_js. Wecarry out both first- and second-quantization explicitly. Thesecond-quantization is performed in both the operator formalism and thefunctional integral one.Comment: 23 pages, Greatly Improved on 4 Nov 200

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