Journal
PHYSICAL REVIEW D
Volume 91, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.91.125030
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Funding
- Ministry of Education of Malaysia under the Fundamental Research Grant Scheme (FRGS) [FRGS/1/2013/ST02/UNIM/02/2]
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In this work, we consider the Casimir effect due to massless fermionic fields in the presence of long cylinders. More precisely, we consider the interaction between a cylinder parallel to a plate, between two parallel cylinders outside each other, and between a cylinder lying parallel inside another cylinder. We derive the explicit formulas for the Casimir interaction energies and compute the leading and the next-toleading order terms of the small separation asymptotic expansions. As expected, the leading order terms coincide with the proximity force approximations. We compare the results of the next-to-leading order terms of different quantum fields, and show that our results support the ansatz of derivative expansions.
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