Quantum dissipative effects for a real scalar field coupled to a dynamical Neumann surface in d+1 dimensions

• URL: http://arxiv.org/abs/2510.01992v2
• Date: Tue, 07 Oct 2025 13:52:51 GMT
• Title: Quantum dissipative effects for a real scalar field coupled to a dynamical Neumann surface in d+1 dimensions
• Abstract summary: We study dissipative effects for a system consisting of a massless real scalar field satisfying Neumann boundary conditions on a space and time-dependent surface.<n>We show that, in d=1, the effects are equal up to second order for rather arbitrary surfaces, and up to fourth order for wavelike surfaces.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study dissipative effects for a system consisting of a massless real scalar field satisfying Neumann boundary conditions on a space and time-dependent surface, in d+1 dimensions. We focus on the comparison of the results for this system with the ones corresponding to Dirichlet conditions, and the same surface space-time geometry. We show that, in d=1, the effects are equal up to second order for rather arbitrary surfaces, and up to fourth order for wavelike surfaces. For d>1, we find general expressions for their difference.

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