Noncommutative Field Theory from twisted Fock space
Jong-Geon Bu, Hyeong-Chan Kim, Youngone Lee, Chang Hyon Vac, and Jae, Hyung Yee
TL;DR
This paper develops a noncommutative quantum field theory by twisting the algebra of operators, constructing a consistent Fock space and S-matrix, and showing the spin-statistics relation remains valid.
Contribution
It introduces a novel approach to noncommutative field theory using twisted Fock space, ensuring consistency with known S-matrix results and preserving fundamental relations.
Findings
Constructed a twisted Fock space compatible with noncommutative spacetime.
Developed an S-matrix consistent with previous formulations.
Confirmed the spin-statistics relation is not violated in this framework.
Abstract
We construct a quantum field theory in noncommutative spacetime by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative spacetime. The twisted Fock space and S-matrix consistent with this algebra have been constructed. The resultant S-matrix is consistent with that of Filk\cite{Filk}. We find from this formulation that the spin-statistics relation is not violated in the canonical noncommutative field theories.
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