Quantum Vacuum on the Worldline

The <strong>Quantum</strong> <strong>Vacuum</strong>
Worldline Approach
Worldline applications
Systematics: small-Nf expansion
∼ Nf
T
Generalized Heisenberg-Euler Effective Actions
Casimir Effect
Nonperturbative Worldline Dynamics
+ + + . . .
R R
e2 −
e 2 ∆
+ N 3 f
T 1,T 2,T 3
x
+ N 2 f
T 1,T 2
F3{x 1, x 2, x 3}
F2{x 1, x 2}
x 1,x 2,x 3
x 1,x 2
+ . . .
=⇒ “particle- expansion” (HALPERN&SIEGEL’77)
=⇒ arbitrary g, “small” A (. . . but not perturbative in A)
Holger Gies <strong>Quantum</strong> <strong>Vacuum</strong> on the Worldline