Quantum Vacuum on the Worldline
Quantum Vacuum on the Worldline
Quantum Vacuum on the Worldline
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Massless Limit?<br />
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 />
Generalized Heisenberg-Euler Effective Acti<strong>on</strong>s<br />
Casimir Effect<br />
N<strong>on</strong>perturbative <strong>Worldline</strong> Dynamics<br />
⊲ <strong>on</strong>e-loop small-φ-mass limit: IR divergence<br />
Γ1-loop[A] hA<br />
m2 1<br />
−<br />
≫1 64π R<br />
2<br />
<br />
d 4 x (hA) 2 ln hA<br />
m2 R<br />
⊲ quenched small-φ-mass limit: finite<br />
π<br />
[−Γ(−2 − α)] cos 2 ΓQA,R[A]|mR=0 = − α<br />
25−3απ2(1−α) βα <br />
d 4 x (hA) 2<br />
α A<br />
[1+O((A/h))]<br />
h<br />
=⇒ break-down of massless limit ∼ artifact of perturbati<strong>on</strong> <strong>the</strong>ory<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 />
. . . large log’s summable
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