I am reading this paperthis paper(pdf) and on page 11, the chiral boson theory on a cylinder is studied when both edges of the cylinder are brought in close proximity so that electron is allowed.
Why is it that for large tunneling amplitudes, $g$, the field $\phi$ can be treated 'classically' in the sense that it gets pinned to the classical minima of the cosine to obtain the ground state energy?
Could someone give a more detailed explanation?