Fermionic Casimir energy in Horava–Lifshitz scenario

In this work, we investigate the violation of Lorentz symmetry through the Casimir effect, one of the most intriguing phenomena in modern physics. The Casimir effect, which represents a macroscopic quantum force between two neutral conducting surfaces, is widely regarded as a triumph of Quantum Fiel...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-10, Vol.84 (10), p.1051-9, Article 1051
Main Authors: de Mello, E. R. Bezerra, Cruz, M. B.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Boundary conditions
Dirac equation
Elementary Particles
Formalism
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parallel plates
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum theory
Regular Article - Theoretical Physics
String Theory
Symmetry
Yang-Mills theory
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Summary:In this work, we investigate the violation of Lorentz symmetry through the Casimir effect, one of the most intriguing phenomena in modern physics. The Casimir effect, which represents a macroscopic quantum force between two neutral conducting surfaces, is widely regarded as a triumph of Quantum Field Theory. In this study, we present new results for the Casimir effect, focusing on the contribution of mass associated with fermionic quantum fields confined between two large parallel plates, in the context of Lorentz symmetry violation within the Horava–Lifshitz formalism. To calculate the Casimir energy and pressure, we impose a MIT bag boundary condition on the two plates, compatible with the higher-order derivative term in the modified Dirac equation. Our results reveal a strong influence of Lorentz violation on the Casimir effect. We observe that the Casimir energy is significantly affected, both in intensity and sign, potentially resulting in a repulsive or attractive force between the plates, depending on the critical exponent associated with the Horava–Lifshitz formalism.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-13408-y