Quantum dissipative effects in graphene-like mirrors

C. D. FOSCO F. C. LOMBARDO F. D. MAZZITELLI AND L. REMAGGI

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Lugar: Nueva York; Año: 2013 vol. 88 p. 105004 - 105012

0556-2821

We study quantum dissipative effects due to the accelerated motion of a single, imperfect, zero-width mirror. It is assumed that the microscopic degrees of freedom on the mirror are confined to it, like in plasma or graphene sheets. Therefore, the mirror is described by a vacuum polarization tensor Παβ concentrated on a time-dependent surface. Under certain assumptions about the microscopic model for the mirror, we obtain a rather general expression for the Euclidean effective action, a functional of the time-dependent mirror?s position, in terms of two invariants that characterize the tensor Παβ. The final result can be written in terms of the TE and TM reflection coefficients of the mirror, with qualitatively different contributions coming from them. We apply that general expression to derive the imaginary part of the ?in-out? effective action, which measures dissipative effects induced by the mirror?s motion, in different models, in particular for an accelerated graphene sheet.