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Quantum Vacuum on the Worldline

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The <str<strong>on</strong>g>Quantum</str<strong>on</strong>g> <str<strong>on</strong>g>Vacuum</str<strong>on</strong>g><br />

<strong>Worldline</strong> Approach<br />

<strong>Worldline</strong> applicati<strong>on</strong>s<br />

Casimir Edge Effects.<br />

⊲ effective descripti<strong>on</strong> of a finite plate<br />

area A boundary C<br />

F = −γ <br />

Generalized Heisenberg-Euler Effective Acti<strong>on</strong>s<br />

Casimir Effect<br />

N<strong>on</strong>perturbative <strong>Worldline</strong> Dynamics<br />

c<br />

Aeff,<br />

a4 ⊲ effective area: Aeff A + γ1si<br />

γ aC, γ1si = 5.23(2) × 10 −3<br />

Holger Gies <str<strong>on</strong>g>Quantum</str<strong>on</strong>g> <str<strong>on</strong>g>Vacuum</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Worldline</strong><br />

(HG,KLINGMULLER’06)

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