Radiative Correction of the Casimir Energy for the Scalar Field with the Mixed Boundary Condition in 3 + 1 Dimensions Article Swipe
In the present study, the zeroth- and first-order radiative correction of the Casimir energy for massive and massless scalar fields, confined with mixed boundary conditions (Dirichlet- Neumann) between two parallel plates in $ϕ^4$ theory, were computed. Two issues in performing calculations in this work are essential: first, to renormalize the bare parameters of the problem, a systematic method was used, which allows all influences from the boundary conditions to be imported in all elements of the renormalization program. This idea yields our counterterms appearing in the renormalization program to be position-dependent. Using the box subtraction scheme as a regularization technique is the other noteworthy point in the calculation. In this scheme, by subtracting the vacuum energies of two similar configurations from each other, regularizing divergent expressions and their removal process were significantly facilitated. All the obtained answers for the Casimir energy with the mixed boundary condition were consistent with well-known physical grounds. We also compared the Casimir energy for the massive scalar field confined with four types of boundary conditions (Dirichlet, Neumann, a mix of them and Periodic) in 3+1 dimensions with each other, and the sign and magnitude of their values were discussed.
Related Topics
Concepts
Casimir effect
Renormalization
Physics
Neumann boundary condition
Boundary value problem
Scalar field
Regularization (linguistics)
Dirichlet boundary condition
Robin boundary condition
Radiative transfer
Scalar (mathematics)
Mixed boundary condition
Quantum electrodynamics
Mathematical physics
Quantum mechanics
Mathematics
Geometry
Artificial intelligence
Computer science
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.48550/arxiv.1912.08039
- OA Status
- green
- References
- 11
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2995736628
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- OpenAlex ID
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https://openalex.org/W2995736628Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1912.08039Digital Object Identifier
- Title
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Radiative Correction of the Casimir Energy for the Scalar Field with the Mixed Boundary Condition in 3 + 1 DimensionsWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-12-17Full publication date if available
- Authors
-
M. A. ValuyanList of authors in order
- Landing page
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https://doi.org/10.48550/arxiv.1912.08039Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://doi.org/10.48550/arxiv.1912.08039Direct OA link when available
- Concepts
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Casimir effect, Renormalization, Physics, Neumann boundary condition, Boundary value problem, Scalar field, Regularization (linguistics), Dirichlet boundary condition, Robin boundary condition, Radiative transfer, Scalar (mathematics), Mixed boundary condition, Quantum electrodynamics, Mathematical physics, Quantum mechanics, Mathematics, Geometry, Artificial intelligence, Computer scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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11Number of works referenced by this work
- Related works (count)
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.discussed. | 193 |
| abstract_inverted_index.essential: | 45 |
| abstract_inverted_index.influences | 63 |
| abstract_inverted_index.noteworthy | 103 |
| abstract_inverted_index.parameters | 51 |
| abstract_inverted_index.performing | 39 |
| abstract_inverted_index.systematic | 56 |
| abstract_inverted_index.well-known | 149 |
| abstract_inverted_index.(Dirichlet, | 170 |
| abstract_inverted_index.(Dirichlet- | 25 |
| abstract_inverted_index.expressions | 125 |
| abstract_inverted_index.first-order | 7 |
| abstract_inverted_index.renormalize | 48 |
| abstract_inverted_index.subtracting | 112 |
| abstract_inverted_index.subtraction | 94 |
| abstract_inverted_index.calculation. | 107 |
| abstract_inverted_index.calculations | 40 |
| abstract_inverted_index.counterterms | 82 |
| abstract_inverted_index.facilitated. | 132 |
| abstract_inverted_index.regularizing | 123 |
| abstract_inverted_index.significantly | 131 |
| abstract_inverted_index.configurations | 119 |
| abstract_inverted_index.regularization | 98 |
| abstract_inverted_index.renormalization | 76, 86 |
| abstract_inverted_index.position-dependent. | 90 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5050666719 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 1 |
| citation_normalized_percentile.value | 0.38291402 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |