Academic literature on the topic 'Local Casimir effect'

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Journal articles on the topic "Local Casimir effect"

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Herdegen, Andrzej, and Mariusz Stopa. "Global Versus Local Casimir Effect." Annales Henri Poincaré 11, no. 6 (October 21, 2010): 1171–200. http://dx.doi.org/10.1007/s00023-010-0053-4.

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Fermi, Davide, and Livio Pizzocchero. "Local Zeta Regularization and the Casimir Effect." Progress of Theoretical Physics 126, no. 3 (September 2011): 419–34. http://dx.doi.org/10.1143/ptp.126.419.

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Saharian, Aram, and Giampiero Esposito. "Casimir effect with non-local boundary conditions." Journal of Physics A: Mathematical and General 39, no. 18 (April 19, 2006): 5233–47. http://dx.doi.org/10.1088/0305-4470/39/18/032.

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SETARE, M. R., and A. H. REZAEIAN. "TRACE ANOMALY AND CASIMIR EFFECT." Modern Physics Letters A 15, no. 35 (November 20, 2000): 2159–64. http://dx.doi.org/10.1142/s0217732300002449.

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The Casimir energy for scalar field of two parallel conductors in two-dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress–tensor. We show that vacuum expectation values of stress–tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress–tensor can be obtained by the local and nonlocal contributions of the anomalous trace. This work shows that there exists a subtle and deep connection between Casimir effect and trace anomaly in curved space–time.
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GIES, H., and A. WEBER. "GEOMETRY-TEMPERATURE INTERPLAY IN THE CASIMIR EFFECT." International Journal of Modern Physics A 25, no. 11 (April 30, 2010): 2279–92. http://dx.doi.org/10.1142/s0217751x10049554.

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We discuss Casimir phenomena which are dominated by long-range fluctuations. A prime example is given by "geothermal" Casimir phenomena where thermal fluctuations in open Casimir geometries can induce significantly enhanced thermal corrections. We illustrate the underlying mechanism with the aid of the inclined-plates configuration, giving rise to enhanced power-law temperature dependences compared to the parallel-plates case. In limiting cases, we find numerical evidence even for fractional power laws induced by long-range fluctuations. We demonstrate that thermal energy densities for open geometries are typically distributed over length scales of 1/T. As an important consequence, approximation methods for thermal corrections based on local energy-density estimates such as the proximity-force approximation are expected to become unreliable even at small surface separations.
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Sorge, Francesco. "Casimir effect around an Ellis wormhole." International Journal of Modern Physics D 29, no. 01 (November 11, 2019): 2050002. http://dx.doi.org/10.1142/s0218271820500029.

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We discuss the Casimir effect in a small cavity, moving in a circular orbit around an Ellis wormhole. We show that the interplay between the spacetime geometry and the cavity orbital motion gives rise to a distortion in the Casimir energy density, causing a reduction of its absolute value. Quite interestingly, such effect can be observed also when the cavity moves on a circular geodesic (albeit unstable) orbit at the wormhole throat, where a comoving observer becomes locally inertial (namely, the observer’s reference frame reduces to a geodesic, Fermi-Walker transported one). In that respect, the discussed effect appears as a nonlocal quantum effect by means of which some properties of the underlying spacetime geometry, hidden to local classical measurements, can be captured and unveiled.
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Petruzziello, Luciano. "Casimir Effect as a Probe for New Physics Phenomenology." Physical Sciences Forum 2, no. 1 (February 22, 2021): 17. http://dx.doi.org/10.3390/ecu2021-09307.

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We show some recent cutting-edge results associated with the Casimir effect. Specifically, we focused our attention on the remarkable sensitivity of the Casimir effect to new physics phenomenology. Such an awareness can be readily discerned by virtue of the existence of extra contributions that the measurable quantities (such as the emergent pressure and strength within the experimental apparatus) acquire for a given physical setting. In particular, by relying on the above framework, we outlined the possibility of detecting the predictions of a novel quantum field theoretical description for particle mixing according to which the flavor and the mass vacuum are unitarily non-equivalent. Furthermore, by extending the very same formalism to curved backgrounds, the opportunity to probe extended models of gravity that encompass local Lorentz symmetry breaking and the strong equivalence principle violation was also discussed. Finally, the influence of quantum gravity on the Casimir effect was briefly tackled by means of heuristic considerations. In a similar scenario, the presence of a minimal length at the Planck scale was the source of the discrepancy with the standard outcomes.
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BLASI, A., R. COLLINA, and J. SASSARINI. "FINITE CASIMIR EFFECT IN QUANTUM FIELD THEORY." International Journal of Modern Physics A 09, no. 10 (April 20, 1994): 1677–702. http://dx.doi.org/10.1142/s0217751x94000728.

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The computation of the Casimir effect is directly linked to the modification of the vacuum energy due to the presence of boundaries. In order to have complete control of the short distance behavior also near the boundary, the analysis is performed in the precise framework of a local, renormalizable quantum field theory which includes the boundary contributions. We show that the presence of soft terms at the boundary, needed to implement Robin's conditions, introduces a free parameter in the final, finite answer, a parameter which has no natural normalization condition within the scheme. We discuss in detail a free massless scalar field in R3 with plane and cylindric boundaries; in particular the second case, where the boundary soft term is essential to remove sub-leading short distance divergencies, suffers the mentioned indeterminacy, which might be removed by a phenomenological interpretation relating the soft term to a microscopic description of the boundary.
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Elizalde, E., and S. D. Odintsov. "Bosonic string with antisymmetric fields and a non-local Casimir effect." Classical and Quantum Gravity 12, no. 12 (December 1, 1995): 2881–86. http://dx.doi.org/10.1088/0264-9381/12/12/006.

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MODANESE, GIOVANNI. "LOCAL CONTRIBUTION OF A QUANTUM CONDENSATE TO THE VACUUM ENERGY DENSITY." Modern Physics Letters A 18, no. 10 (March 28, 2003): 683–90. http://dx.doi.org/10.1142/s0217732303009812.

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We evaluate the local contribution gμνL of coherent matter with Lagrangian density L to the vacuum energy density. Focusing on the case of superconductors obeying the Ginzburg–Landau equation, we express the relativistic invariant density L in terms of low-energy quantities containing the pairs density. We discuss under which physical conditions the sign of the local contribution of the collective wave function to the vacuum energy density is positive or negative. Effects of this kind can play an important role in bringing the local changes in the amplitude of gravitational vacuum fluctuations — a phenomenon reminiscent of the Casimir effect in QED.
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Dissertations / Theses on the topic "Local Casimir effect"

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Borjan, Zoran. "Application of local functional theory to surface critical phenomena." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302201.

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NOSARI, GABRIELE. "Local approach to Casimir effect in axiomatic quantum field theory." Doctoral thesis, Università degli studi di Pavia, 2017. http://hdl.handle.net/11571/1203292.

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Fermi, D. "A FUNCTIONAL ANALYTIC FRAMEWORK FOR LOCAL ZETA REGULARIZATION AND THE SCALAR CASIMIR EFFECT." Doctoral thesis, Università degli Studi di Milano, 2016. http://hdl.handle.net/2434/360961.

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It is developed a functional analytic framework allowing to formulate a rigorous implementation of zeta regularization for a canonically quantized scalar field, living on an arbitrary spatial domain and interacting with a classical background potential. This framework relies on the construction of an infinite scale of graded Hilbert spaces associated to the real powers of some given, positive self-adjoint operator. When the latter is a Schr\"odinger-type differential operator, this formulation provides a natural language to study the integral kernels related to a large class of operators, fulfilling minimal regularity requirements; particular attention is devoted to the regularity of these kernels and to the construction of their analytic continuations with respect to some parameters. Within this framework, complex powers of the elliptic operator giving rise to the Klein-Gordon equation are used to define a zeta-regularized version of the Wightman field whose pointwise evaluation is well-posed. This regularized field determines regularized local observables (such as the stress-energy tensor), whose vacuum expectation values can be expressed in terms of the above mentioned integral kernels. This allows to make contact with the theory of the Casimir effect. Renormalization is achieved by analytic continuation, which is proved to give finite results for the previously mentioned expectation values in most cases of interest. Finally, to exhibit the computational efficiency of the above methods, some explicit examples are discussed.
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Bitbol, Anne-Florence. "Statistique et dynamique des membranes complexes." Phd thesis, Université Paris-Diderot - Paris VII, 2012. http://tel.archives-ouvertes.fr/tel-00767943.

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Cette thèse porte sur les membranes biologiques, étudiées du point de vue de la physique théorique. Nous nous intéressons aux effets génériques de la présence d'une ou deux inclusions membranaires, par exemple des protéines, et à ceux d'une modification chimique locale de l'environnement de la membrane.
Tout d'abord, nous étudions une interaction entre deux inclusions membranaires, qui est analogue à la force de Casimir : elle provient des contraintes que les inclusions imposent aux fluctuations thermiques de la forme de la membrane. Nous calculons les fluctuations de cette force entre deux inclusions ponctuelles. Nous clarifions la définition de la force exercée par un fluide corrélé sur une inclusion, dans un micro-état du fluide. Cette définition joue un rôle clé dans l'étude de la force de Casimir au-delà de sa valeur moyenne à l'équilibre. Nous étudions également les interactions de Casimir entre des inclusions membranaires de forme allongée.
Ensuite, nous nous intéressons à l'élasticité membranaire à l'échelle nanométrique, qui est mise en jeu dans les déformations locales de l'épaisseur de la membrane à proximité de certaines protéines. Nous soulignons l'importance d'un terme énergétique qui a été négligé jusqu'à présent.
Enfin, nous présentons une description théorique, développée à partir de principes fondamentaux, de la dynamique d'une membrane soumise à une perturbation chimique locale de son environnement. Nous comparons nos prévisions théoriques à de nouveaux résultats expérimentaux portant sur la déformation dynamique d'une membrane biomimétique soumise à une augmentation locale de pH.
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Books on the topic "Local Casimir effect"

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Fermi, Davide, and Livio Pizzocchero. Local Zeta Regularization and the Scalar Casimir Effect: A General Approach Based on Integral Kernels. World Scientific Publishing Co Pte Ltd, 2017.

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Book chapters on the topic "Local Casimir effect"

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"Local Effects." In The Casimir Effect, 223–37. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810526_0011.

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"Zeta regularization for a scalar field." In Local Zeta Regularization and the Scalar Casimir Effect, 3–13. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0001.

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"The zeta-regularized stress-energy VEV in terms of integral kernels." In Local Zeta Regularization and the Scalar Casimir Effect, 15–54. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0002.

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"Total energy and forces on the boundary." In Local Zeta Regularization and the Scalar Casimir Effect, 55–66. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0003.

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"Some variations of the previous schemes." In Local Zeta Regularization and the Scalar Casimir Effect, 67–76. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0004.

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"A massless field on the segment." In Local Zeta Regularization and the Scalar Casimir Effect, 79–95. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0005.

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"A massless field between parallel hyperplanes." In Local Zeta Regularization and the Scalar Casimir Effect, 97–112. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0006.

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"A massive field constrained by perpendicular hyperplanes." In Local Zeta Regularization and the Scalar Casimir Effect, 113–35. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0007.

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"A massless field in a three-dimensional wedge." In Local Zeta Regularization and the Scalar Casimir Effect, 137–52. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0008.

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"A scalar field with a harmonic background potential." In Local Zeta Regularization and the Scalar Casimir Effect, 153–79. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813225008_0009.

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Conference papers on the topic "Local Casimir effect"

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SAHARIAN, ARAM, and GIAMPIERO ESPOSITO. "SCALAR CASIMIR EFFECT WITH NON-LOCAL BOUNDARY CONDITIONS." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0508.

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Mochán, W. Luis. "Non-Local Effects in the Casimir Force." In STATISTICAL PHYSICS AND BEYOND: 2nd Mexican Meeting on Mathematical and Experimental Physics. AIP, 2005. http://dx.doi.org/10.1063/1.1900488.

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