Some Mathematical Bases for Non-Commutative Field Theories

Details Some Mathematical Bases for Non-Commutative Field Theories Some Mathematical Bases for Non-Commutative Field Theories

2002-04-22

arxiv.org/abs/math-ph/0204043v3

Spacetime and Substance, v. 3, No. 2(12), p. 84-85 (2002); ibid. 3(13), p. 125-126 (2002)

Physics

Mathematical Physics

6pp., ReVTeX file, no figures, some notational changes

Scientific paper

Misconceptions have recently been found in the definition of a partial derivative (in the case of the presence of both explicit and implicit dependencies of the function subjected to differentiation) in the classical analysis. We investigate the possible influence of this discovery on quantum mechanics and the classical/quantum field theory. Surprisingly, some commutators of operators of space-time 4-coordinates do not equal to zero. Thus, we provide the bases for new-fashioned noncommutative field theory.

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