On quantization of matrix models

Details On quantization of matrix models On quantization of matrix models

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aipc..646..167s&link_type=abstract

THEORETICAL PHYSICS: MRST 2002: A Tribute to George Leibbrandt. AIP Conference Proceedings, Volume 646, pp. 167-172 (2002).

Physics

Algebraic Methods, Nonperturbative Techniques, String Field Theory

Scientific paper

The issue of non-perturbative background independent quantization of matrix models is addressed. The analysis is carried out by considering a simple matrix model which is a matrix extension of ordinary mechanics reduced to 0 dimension. It is shown that this model has an ordinary mechanical system evolving in time as a classical solution. But in this treatment the action principle admits a natural modification which results in algebraic relations describing quantum theory. The origin of quantization is similar to that in Adler's generalized quantum dynamics. The problem with extension of this formalism to many degrees of freedom is solved by packing all the degrees of freedom into a single matrix. The possibility to apply this scheme to various matrix models is discussed.

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