Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces

Details Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces

1996-11-21

arxiv.org/abs/hep-th/9611170v1

Nucl.Phys.B497:658-698,1997

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 6 postscript figures

Scientific paper

10.1016/S0550-3213(97)00277-0

The large N limit of a one-dimensional infinite chain of random matrices is investigated. It is found that in addition to the expected Kosterlitz--Thouless phase transition this model exhibits an infinite series of phase transitions at special values of the lattice spacing \epsilon_{pq}=\sin(\pi p/2q). An unusual property of these transitions is that they are totally invisible in the double scaling limit. A method which allows us to explore the transition regions analytically and to determine certain critical exponents is developed. It is argued that phase transitions of this kind can be induced by the interaction of two-dimensional vortices with curvature defects of a fluctuating random lattice.

Affiliated with

Also associated with

No associations

Rating

Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313503