6533b833fe1ef96bd129ca26

RESEARCH PRODUCT

One-Loop Effective Lagrangian in QED

Walter DittrichMartin Reuter

subject

PhysicsLoop (topology)Section (fiber bundle)Mathematics::Functional AnalysisAmplitudeHigh Energy Physics::PhenomenologyEffective lagrangianExternal fieldMathematical physics

description

Our main goal in this section is the derivation of an expression for the effective Lagrangian in one-loop approximation. So let’s start with the vacuum persistence amplitude in presence of an external field: $$\displaystyle \langle 0_+\vert 0_-\rangle ^A = e^{ iW^{(1)}[A]} = e^{i \int d^4x\mathcal {L}^{(1)}(x)} $$

https://doi.org/10.1007/978-3-030-36786-2_40