Scalar gauge theory on a cylinder

In this work, we study the complex bosonic matter coupled to the SU(N-c) gauge fields on a cylinder, which has a circular space part. We extend the ideas used for fermions on a cylinder in [S. G. Rajeev and Guruswamy, Mod. Phys. Lett. A 7, 3783 (1992)] to this case. Here, the normal ordering rule for bosonic bilinears is found. In the large-N-c limit, we can reformulate the whole problem in terms of a set of basic mesonic operators. The full equations of motion satisfied by these mesonic variables are too complicated. An approximation method, which is a kind of linearization, is suggested for this problem.