Michael Florian WondrakJournal Club High Energy Physics

June 29, 2015, Phys 02.114

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arXiv:1311.7173v2 [hep-ph]

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Un-Casimir Effect

Un-Casimir Effect

Un-Casimir Effect

Summary

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Suggested by Howard Georgi in 2007. Massive stuff exhibiting scale invariance. Unlike normal particles,

e.g. Standard Model particles. Features:◦ Appearance as a non-integral number of

invisible particles.◦ Fractalization of objects that interact with

unparticle stuff. Weak interaction with ordinary particles not yet observed.

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Energy 1 4~ 1ΛΛ

LHC

4Λ 1 1 2

Propagator , ´ 2 Λ , ´;16 ⁄2 ΓΓ 1 Γ 2

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Force between neutral conducting or dielectric objects due to quantum fluctuations.

Set up: 2 parallel metal plates separated by a distance a.

Interpretation of the Casimir energy as shift in the normal modes’ zero point energies possible.

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Calculation of the Casimir energy for a boson field:12

12 12 Im Tr , ; , ;1 Im Tr , ;

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Scalar massive particle

Scalar massless field

Photon 7201440

18 1 2

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Contribution to the Casimir effect due to scalar unparticle stuff.

Linear superposition of contributions of scalar massive particles:

, ´ 2 Λ , ´; 12 Im Tr , ; , ;

12 Im2 Λ Tr , ; , ;2 Λ

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Unparticle contribution

Total Casimir energy

1 2 24 1Λ

720 1 720 2 24 1Λ

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Definition of the spectral dimension

Existence of two phases for ≠ 1:◦ Ordinary matter phase◦ Unparticle phase

Ordinary result for → 1:

log 1 log 720 1 720 2 24 1Λ 1

2 21 720 2 24 1Λ

→ 2≫ 1 Λ⁄ ≪ 1 → 2≪ 1 Λ⁄ ≫ 1 → 2

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Λ 1 720 2 24 1∆ Λ m 4 ∆ Γ 3 Γ 2 1Γ 2

Un-Casimir

Muon anomaly g-2

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Unparticle stuff is a scale invariant extension to ordinary particles.

Unparticle contribution to the Casimir effect: Un-Casimir effect.

This interaction leads to a deviation of the Casimir energy and to fractalization of the conducting plates.

Precision measurements of the Casimir energy can constrain unparticle parameters.

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K. Cheung, W.-Y. Keung, and T.-C. Yuan, Phys. Rev. Lett. 99, 051803 (2007).

A. M. Frassino, P. Nicolini, and O. Panella, arXiv:1311.7173v2 [hep-ph].

H. Georgi, Phys. Rev. Lett. 98, 221601 (2007). G. L. Klimchitskaya, U. Mohideen, and

V. M. Mostepanenko, Rev. Mod. Phys. 81, 1827 (2009).