Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere

TL;DR

This paper analyzes the phase structure of a generalized 2D Yang Mills U(N) model with quartic and cubic terms on a sphere, revealing a split of the single transition into two third-order transitions for small cubic couplings.

Contribution

It provides the phase diagram and shows how the single transition in the quartic model splits into two for small cubic couplings.

Findings

Single transition splits into two for small cubic couplings.

Both transitions are of third order.

Phase diagram for small cubic couplings is established.

Abstract

The large-N behavior of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere is investigated, for small cubic couplings. It is shown that single transition at the critical area which is present for the quartic model, is split into two transitions, both of them are third order. the phase diagram of the system for small cubic couplings is obtained.