Irreducibility of the set of field operators in Noncommutative Quantum Field Theory
M. N. Mnatsakanova, Yu. S. Vernov
TL;DR
This paper proves that the set of quantum field operators remains irreducible in noncommutative quantum field theory even when time and space variables do not commute.
Contribution
It extends the irreducibility proof of quantum field operators to the noncommutative case with noncommuting time and spatial variables.
Findings
Irreducibility holds in noncommutative QFT with noncommuting time.
General proof applicable to broad noncommutative scenarios.
Supports the consistency of quantum operator structure in noncommutative spacetime.
Abstract
Irreducibility of the set of quantum field operators has been proved in noncommutative quantum field theory in the general case when time does not commute with spatial variables.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Advanced Operator Algebra Research