Solution of gauge theories induced by fundamental representation scalars
Abstract
Gauge theories induced by scalars in the fundamental representation of the U(N_{c})_{gauge}×U(N_{f})_{global} group are investigated in the large N_{c} and N_{f} limits. A master field is defined from bilinears of the scalar field following an EguchiKawai type reduction of spacetime. The density function for the master field satisfies an integral equation that can be solved exactly in two dimensions (D=2) and in a convergent series of approximations at D>2. While at D=2 the system is in the same phase at all ∊=N_{c}/N_{f}, it undergoes a phase transition at a critical value, ∊_{c}(D), for D>2.
 Publication:

Physical Review D
 Pub Date:
 April 1998
 DOI:
 10.1103/PhysRevD.57.5084
 arXiv:
 arXiv:hepph/9709410
 Bibcode:
 1998PhRvD..57.5084S
 Keywords:

 11.15.Pg;
 11.15.Ha;
 Expansions for large numbers of components;
 Lattice gauge theory;
 High Energy Physics  Phenomenology
 EPrint:
 12 pages, LaTeX