Proximity force approximation for the Casimir energy as a derivative expansion
The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled approximation. Indeed, its validity has only been tested in part...
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2011
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| LEADER | 08308caa a22007217a 4500 | ||
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| 003 | AR-BaUEN | ||
| 005 | 20250612092131.0 | ||
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| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Fosco, César Daniel | |
| 245 | 1 | 0 | |a Proximity force approximation for the Casimir energy as a derivative expansion |
| 260 | |c 2011 | ||
| 270 | 1 | 0 | |m Fosco, C.D.; Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina |
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| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled approximation. Indeed, its validity has only been tested in particular examples, by confronting its predictions with the next-to-leading-order (NTLO) correction extracted from numerical or analytical solutions obtained without using the PFA. In this article we show that the PFA and its NTLO correction may be derived within a single framework, as the first two terms in a derivative expansion. To that effect, we consider the Casimir energy for a vacuum scalar field with Dirichlet conditions on a smooth curved surface described by a function ψ in front of a plane. By regarding the Casimir energy as a functional of ψ, we show that the PFA is the leading term in a derivative expansion of this functional. We also obtain the general form of the corresponding NTLO correction, which involves two derivatives of ψ. We show, by evaluating this correction term for particular geometries, that it properly reproduces the known corrections to PFA obtained from exact evaluations of the energy. © 2011 American Physical Society. |l eng | |
| 593 | |a Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina | ||
| 593 | |a Instituto Balseiro, Universidad Nacional de Cuyo, R8402AGP Bariloche, Argentina | ||
| 593 | |a Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina | ||
| 700 | 1 | |a Lombardo, Fernando César | |
| 700 | 1 | |a Mazzitelli, F.D. | |
| 773 | 0 | |d 2011 |g v. 84 |k n. 10 |p Phys Rev D Part Fields Gravit Cosmol |x 15507998 |t Physical Review D - Particles, Fields, Gravitation and Cosmology | |
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| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevD.84.105031 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_15507998_v84_n10_p_Fosco |y Handle |
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