The Casimir effect in the presence of infrared transparency
Abstract We revisit the Casimir effect perceived by two surfaces in the presence of infrared (IR) transparency. To address this problem, we study a model, where such a phenomenon naturally arises: the DGP model with two parallel 3-branes, each endowed with a localized curvature term. In that model,...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-05-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2021)071 |
| _version_ | 1818646758839812096 |
|---|---|
| author | Max Warkentin |
| author_facet | Max Warkentin |
| author_sort | Max Warkentin |
| collection | DOAJ |
| description | Abstract We revisit the Casimir effect perceived by two surfaces in the presence of infrared (IR) transparency. To address this problem, we study a model, where such a phenomenon naturally arises: the DGP model with two parallel 3-branes, each endowed with a localized curvature term. In that model, the ultraviolet modes of the 5-dimensional graviton are suppressed on the branes, while the IR modes can penetrate them freely. First, we find that the DGP branes act as “effective” (momentum-dependent) boundary conditions for the gravitational field, so that the (gravitational) Casimir force between them emerges. Second, we discover that the presence of an IR transparency region for the discrete modes modifies the standard Casimir force — as derived for ideal Dirichlet boundary conditions — in two competing ways: i) The exclusion of soft modes from the discrete spectrum leads to an increase of the Casimir force. ii) The non-ideal nature of the boundary conditions gives rise to a “leakage” of hard modes. As a result of i) and ii), the Casimir force becomes weaker. Since the derivation of this result involves only the localized kinetic terms of a quantum field on parallel surfaces (with codimension one), the derived Casimir force is expected to be present in a variety of setups in arbitrary dimensions. |
| first_indexed | 2024-12-17T00:51:44Z |
| format | Article |
| id | doaj.art-f663dc1e7d2c4ce099a5f93ba41d4b51 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T00:51:44Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f663dc1e7d2c4ce099a5f93ba41d4b512022-12-21T22:09:44ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021513110.1007/JHEP05(2021)071The Casimir effect in the presence of infrared transparencyMax Warkentin0Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-UniversitätAbstract We revisit the Casimir effect perceived by two surfaces in the presence of infrared (IR) transparency. To address this problem, we study a model, where such a phenomenon naturally arises: the DGP model with two parallel 3-branes, each endowed with a localized curvature term. In that model, the ultraviolet modes of the 5-dimensional graviton are suppressed on the branes, while the IR modes can penetrate them freely. First, we find that the DGP branes act as “effective” (momentum-dependent) boundary conditions for the gravitational field, so that the (gravitational) Casimir force between them emerges. Second, we discover that the presence of an IR transparency region for the discrete modes modifies the standard Casimir force — as derived for ideal Dirichlet boundary conditions — in two competing ways: i) The exclusion of soft modes from the discrete spectrum leads to an increase of the Casimir force. ii) The non-ideal nature of the boundary conditions gives rise to a “leakage” of hard modes. As a result of i) and ii), the Casimir force becomes weaker. Since the derivation of this result involves only the localized kinetic terms of a quantum field on parallel surfaces (with codimension one), the derived Casimir force is expected to be present in a variety of setups in arbitrary dimensions.https://doi.org/10.1007/JHEP05(2021)071Field Theories in Higher DimensionsClassical Theories of Gravity |
| spellingShingle | Max Warkentin The Casimir effect in the presence of infrared transparency Journal of High Energy Physics Field Theories in Higher Dimensions Classical Theories of Gravity |
| title | The Casimir effect in the presence of infrared transparency |
| title_full | The Casimir effect in the presence of infrared transparency |
| title_fullStr | The Casimir effect in the presence of infrared transparency |
| title_full_unstemmed | The Casimir effect in the presence of infrared transparency |
| title_short | The Casimir effect in the presence of infrared transparency |
| title_sort | casimir effect in the presence of infrared transparency |
| topic | Field Theories in Higher Dimensions Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP05(2021)071 |
| work_keys_str_mv | AT maxwarkentin thecasimireffectinthepresenceofinfraredtransparency AT maxwarkentin casimireffectinthepresenceofinfraredtransparency |