Quantum Vacuum on the Worldline
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 />
Fermi<strong>on</strong>s <strong>on</strong> <strong>the</strong> worldline II.<br />
⊲ spinor QED (parity-even part):<br />
Γ =<br />
1 − 2<br />
(4π) D<br />
<br />
d<br />
2<br />
D xCM<br />
∞<br />
1/Λ 2<br />
dT<br />
Wspin[A] = W [A] × PT exp<br />
σF<br />
σF<br />
σF<br />
σF<br />
σF<br />
σF<br />
Generalized Heisenberg-Euler Effective Acti<strong>on</strong>s<br />
Casimir Effect<br />
N<strong>on</strong>perturbative <strong>Worldline</strong> Dynamics<br />
T D<br />
2 +1 e−m2 T<br />
σF<br />
⎛<br />
⎝ ie<br />
2<br />
σF<br />
σF<br />
σF<br />
T<br />
0<br />
σF<br />
σF<br />
<br />
Wspin[A]<br />
dτ σµνF µν<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 />
x<br />
⎞<br />
⎠
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