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 />
Heisenberg-Euler effective acti<strong>on</strong>.<br />
Topography of QFT<br />
A view <strong>on</strong> <strong>the</strong> quantum vacuum<br />
Effective acti<strong>on</strong><br />
(EULER, KOCKEL’35; HEISENBERG, EULER’36;WEISSKOPF’36; SCHWINGER’51; RITUS’76)<br />
⊲ weak-field expansi<strong>on</strong><br />
Γ =<br />
<br />
−F + 8 α<br />
45<br />
2<br />
m4 F 2 + 14 α<br />
45<br />
2<br />
m4 G2 + O(F 6 )<br />
= + + . . .<br />
C<strong>on</strong>venti<strong>on</strong>s: F = 1<br />
4 FµνF µν = 1<br />
2 (B2 − E 2 ), G = 1<br />
4 Fµν ˜ F µν = −B · E<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>
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