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Quantum Vacuum on the Worldline

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 />

Higher loops per pedes<br />

⊲ <strong>Worldline</strong>:<br />

∼<br />

<br />

T<br />

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

Casimir Effect<br />

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

<br />

e −ie H dx·A(x)<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 />

<br />

<br />

dτ1dτ2 ∆(x(τ1), x(τ2))<br />

x

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