Space-Time Quantization and Matrix Model

Details Space-Time Quantization and Matrix Model Space-Time Quantization and Matrix Model

1998-08-12

arxiv.org/abs/hep-th/9808064v1

Nuovo Cim.B114:49-56,1999

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, uses phyzzx.tex

Scientific paper

In order to get the general framework describing a nonlocalizable object beyond the bilocal field theory early proposed by Markov and Yukawa, the quantization of space-time is reconsidered and further developed. Space-time quantities are there not only noncommutative with U-field describing the nonlocalizable object, as in the bilocal field theory, but also become noncommutative among themselves. Under the U-field representation, where the basis vectors of representation are chosen to be eigenvectors of operator U, space-time quantities get a matrix representation of infinite dimension in general. Field equation is considered, which determines the relation between space-time quantities and U-field. The possible inner relation between the recent topics of matrix model in superstring theory and the present approach is discussed.

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