Monday, 11 December 2017

path integral - Topological susceptibility of electroweak theta-term


Suppose EW theory generating functional: Z[sources]=D(A,ψ,ˉψ,H,H)exp[id4x(14g2EWF2EW+ˉψ(Dm)ψ+DHDH+

+θFEW˜FEW+gauge fix+ghost+sources)]
I need to calculate topological susceptibility κ(0)d4x0|T(FEW˜FEW(x)FEW˜FEW(0))|0θ=sources=0d4xδ2Zδθ2θ=sources=0
I know that for SUL(2) theory I can perform chiral rotations of ψ fields (electron, neutrino etc.) so that θ term wil disappear from generating functional in the limit of zero sources. Does this mean that (2) is equal to zero?




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