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Heuristic derivation of Casimir effect in minimal length theories

2019; World Scientific; Volume: 29; Issue: 02 Linguagem: Inglês

10.1142/s021827182050011x

1793-6594

Massimo Blasone, Gaetano Lambiase, Giuseppe Gaetano Luciano, Luciano Petruzziello, Fabio Scardigli,

Black Holes and Theoretical Physics

We propose a heuristic derivation of Casimir effect in the context of minimal length theories based on a Generalized Uncertainty Principle (GUP). By considering a GUP with only a quadratic term in the momentum, we compute corrections to the standard formula of Casimir energy for the parallel-plate geometry, the sphere and the cylindrical shell. For the first configuration, we show that our result is consistent with the one obtained via more rigorous calculations in Quantum Field Theory. Experimental developments are finally discussed.