The one-loop generating functional of χPT with virtual photons

Configuration:  "ChPTVirtualPhotons2"
Lagrangians:   ChPTVirtualPhotons2[2]

•Preliminaries

•Expansion of the lagrangian

•Splitting in components

•Seeley-DeWitt coefficients

•Checks

•SU(2) equations of motion

SetOptions[SUNReduce, FullReduce -> True, SUNN -> 2, UDimension -> 2] ; SetOptions[UReduce, FullReduce -> True, SUNN -> 2, UDimension -> 2] ;

•The identity ∇ _ μ(H _ (R, L)) = H _ (μ ±)+i/2[u _ μ,H _ (L, R)],              H _ (μ ±):= u^†c _ R^μQ _ Ru ± u c _ L^μQ _ Lu^†

•Equations of motion

•SU(2) result

Converted by Mathematica  (July 10, 2003)