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Since we only know Gaussian integration, could one get Green's function numerically with interacting action. Usual perturbation theory is tedious and limited, could one get high accurate result with PC beyond perturbation?
This guy did:It seems that lattice path integrals are not used in condensed matter. Does someone know why is that?
It seems that lattice path integrals are not used in condensed matter. Does someone know why is that?
It seems that lattice path integrals are not used in condensed matter. Does someone know why is that?
Does your last line implies that det(−γ0†)=det(γ0)det(−γ0†)=det(γ0){\rm det}(-\gamma^{0\dagger})={\rm det}(\gamma^0)? If so, how is that compatible with γ0†=γ0γ0†=γ0\gamma^{0\dagger}=\gamma^0?
Is it a consequence of Euclidean metric? With Minkowski (+---) metric I don't think it's true, because thenantihermiticity of [itex]\gamma^{\nu}D_{\nu}[/itex].