"The large-N phase transition in the U(N) chiral models" by Frederic Green and Stuart Samuel
 

Computer Science

The large-N phase transition in the U(N) chiral models

Frederic Green, Institute for Advanced Study
Stuart Samuel, Institute for Advanced Study

Abstract

We prove the existence of a large-N phase transition in the d = 2 chiral model and calculate via strong-coupling methods the phase-transition point. The critical coupling constant is 0.324. We also treat the chiral model chains (equivalent to the gauge model on polyhedrons) and our approximate calculations come very close to the exact results for the solvable cases. © 1981.