Quantum Vacuum on the Worldline

The <strong>Quantum</strong> <strong>Vacuum</strong>
Worldline Approach
Worldline applications
Fermions on the worldline III.
Generalized Heisenberg-Euler Effective Actions
Casimir Effect
Nonperturbative Worldline Dynamics
⊲ Spin factor (STROMINGER’80,POLYAKOV’88)
Γ[A] = 1 1
2 (4π) D/2
∞
0
Φ[x] := trγP : e i
R T
2 0 dτ σω(τ) :
ωµν(τ) = 1
4 lim
ɛ→0
dT
T (1+D/2) e−m2 T
e −ie H
dxA(x)
Φ[x]
x
ɛ
−ɛ
dρρ ¨x µ(τ + ρ
2 )¨x ν(τ − ρ
2 )
Holger Gies <strong>Quantum</strong> <strong>Vacuum</strong> on the Worldline
(HG&HAMMERLING’05)