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 />
Phot<strong>on</strong> effective acti<strong>on</strong><br />
⊲ quenched approximati<strong>on</strong><br />
ΓQA[A] =<br />
<br />
1<br />
2 (∂µA) 2 −<br />
1<br />
2(4π) 2<br />
∞<br />
x<br />
0<br />
Generalized Heisenberg-Euler Effective Acti<strong>on</strong>s<br />
Casimir Effect<br />
N<strong>on</strong>perturbative <strong>Worldline</strong> Dynamics<br />
dT<br />
T 3 e−m2 <br />
T<br />
e ih R dτA −h<br />
e 2 <br />
V [x]<br />
= , (1)<br />
⊲ <strong>Worldline</strong> self-interacti<strong>on</strong> potential<br />
h 2 V [x] := h2<br />
8π 2<br />
T<br />
0<br />
dτ1dτ2<br />
1<br />
|x 1 − x 2| 2<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 />
x