| In this work we use an effective field theory formalism and familiar methods of perturbative expansions to study fluctuation-induced interactions between circular inclusions on films and membranes. The essence of our approach is that we extend the background Hamiltonian of the fluctuating surface with localized terms mimicking the effects of the inclusions, in a derivative expansion involving generalized polarizability coefficients. Treating this extension to the theory perturbatively nicely separates different orders of distance dependence and allows leading orders and corrections to be identified easily. The simplicity of the method also allowed us to analytically compute three-body interactions after recovering some of the existing results on pair forces. |
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