13.07.2015 Views

Andrea Shindler

Andrea Shindler

Andrea Shindler

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Infrared divergencesG(x) = 1 Vpe ipxp 2 + M 2 π= 1VM 2 π+ 1 Vp=0e ipxp 2 + M 2 πCorrelation lengthM −1πlarger than the size of the boxWhere is the problem?→d 4 xL (2)χ = −2mΣV +U(x) =e iφ(x) Fd 4 2x4 Tr [∂ µφ∂ µ φ] − mΣ2 Tr φ 2 ,Torus⇒periodic plane wavesφ(x) = n,ac a nτ a e (2πi) n µxµLn =0 m =0The mode does not show up if integral is not GaussianMonday, January 17, 2011

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