de Albuquerque, L. C.Cavalcanti, R. M.2014-05-202014-05-202004-07-09Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 37, n. 27, p. 7039-7050, 2004.0305-4470http://hdl.handle.net/11449/32694In this work we show how to define the action of a scalar field such that the Robin boundary condition is implemented dynamically, i.e. as a consequence of the stationary action principle. We discuss the quantization of that system via functional integration. Using this formalism, we derive an expression for the Casimir energy of a massless scalar field under Robin boundary conditions on a pair of parallel plates, characterized by constants c(1) and c(2). Some special cases are discussed; in particular, we show that for some values of cl and c(2) the Casimir energy as a function of the distance between the plates presents a minimum. We also discuss the renormalization at one-loop order of the two-point Green function in the philambda(4) theory subject to the Robin boundary condition on a plate.7039-7050engCasimir effect for the scalar field under Robin boundary conditions: a functional integral approachArtigo10.1088/0305-4470/37/27/012WOS:000223477900014Acesso restrito