Boundary dependence of the coupling constant and the mass in the vectorN-component (λφ⁴)_Dtheory

Using the Matsubara formalism, we consider the massive (λφ4)D vector N-component model in the large-N limit, the system being confined between two infinite parallel planes. We investigate the behaviour of the coupling constant as a function of the separation L between the planes. For the Wick-ordered model in D = 3 we are able to give an exact formula to the L dependence of the coupling constant. For the non-Wick-ordered model we indicate how...