Coeff[USmall][3][μ, x]

UPerturb :: nocoeff :  Warning: Yor are requesting expanding in UPerturbation to order  3 . Only up to order 2 is implemented in terms of USmall and CovariantNabla.  (If you have the energy, please do work out the expansion and send it to feyncalc@feyncalc.org)

(2^(1/2) (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(Overscript[ξ^( ), ->]) · Overscript[σ, ->]))/(3 f^3) - (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(Overscript[ξ^( ), ->]) · Overscript[σ, ->])/(2 2^(1/2) f^3) + (2^(1/2) (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(Overscript[ξ^( ), ->]) · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(3 f^3) - (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(Overscript[ξ^( ), ->]) · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(2^(1/2) f^3) + (2^(1/2) (∂ _ μ(Overscript[ξ^( ), ->]) · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(3 f^3) - (∂ _ μ(Overscript[ξ^( ), ->]) · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(2 2^(1/2) f^3) + (2^(1/2) (öÆ^† '6 ∂ _ μ(öÆ) '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(3 f^3) - (7 (öÆ^† '6 ∂ _ μ(öÆ) '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(12 2^(1/2) f^3) - (∂ _ μ(öÆ) '6 öÆ^† '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(12 2^(1/2) f^3) - (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ^† '6 ∂ _ μ(öÆ) '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(4 2^(1/2) f^3) + (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(öÆ) '6 öÆ^† '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(4 2^(1/2) f^3) + (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ^† '6 ∂ _ μ(öÆ) '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(4 2^(1/2) f^3) - (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(öÆ) '6 öÆ^† '6 Overscript[ξ^( ), ->] · Overscript[σ, ->])/(4 2^(1/2) f^3) - (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ^† '6 ∂ _ μ(öÆ))/(12 2^(1/2) f^3) + (2^(1/2) (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(öÆ) '6 öÆ^†))/(3 f^3) - (7 (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 ∂ _ μ(öÆ) '6 öÆ^†))/(12 2^(1/2) f^3) - (i 2^(1/2) (öÆ^† '6 Overscript[R^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(3 f^3) + (7 i (öÆ^† '6 Overscript[R^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(12 2^(1/2) f^3) + (i (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ^† '6 Overscript[R^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(4 2^(1/2) f^3) - (i (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ^† '6 Overscript[R^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(4 2^(1/2) f^3) + (i (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ^† '6 Overscript[R^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ))/(12 2^(1/2) f^3) + (i 2^(1/2) (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[L^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ^†))/(3 f^3) - (7 i (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[L^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ^†))/(12 2^(1/2) f^3) - (i (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[L^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ^† '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(4 2^(1/2) f^3) + (i (Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 öÆ '6 Overscript[L^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ^† '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(4 2^(1/2) f^3) - (i (öÆ '6 Overscript[L^( ) _ μ, ->] · Overscript[σ, ->] '6 öÆ^† '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->] '6 Overscript[ξ^( ), ->] · Overscript[σ, ->]))/(12 2^(1/2) f^3)


Converted by Mathematica  (July 10, 2003)