Example of an asymptotically free matrix model

Details Example of an asymptotically free matrix model Example of an asymptotically free matrix model

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aipc..601..259a&link_type=abstract

THEORETICAL HIGH ENERGY PHYSICS: MRST 2001: A Tribute to Roger Migneron. AIP Conference Proceedings, Volume 601, pp. 259-266 (2

Physics

High Energy Physics

Asymptotic Problems And Properties

Scientific paper

We construct an example of a two dimensional matrix field theory theory that exhibits asymptotic freedom. This model example is the matrix analogue of the two dimensional BCS super conductor. We analyze the Planar large N limit of this field theory and show that certain questions related to its ground state; namely the existence or the lack of a mass gap in the spectrum; can be answered by studying a ``One Matrix Model'' with a non-polynomial potential. This one matrix model associated with the matrix field theory is shown to describe the effective potential of the full theory. .

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