Grassmann Variables, Supersymmetry and Supersymmetric ...

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Partition function � Z = Fermionic Path Integral SUSY References The end Grassmann Variables Path Integral DψDψe i � d 4 xψ(iγ µ ∂µ−m)ψ = C det(iγ µ ∂µ−m) = C e Trln(iγµ ∂µ−m) G (2) (x1, x2) = Two point Green function: � DψDψe i � d 4 xψ(iγ µ ∂µ−m)ψ ψ(x1)ψ(x2) � DψDψe i � d 4 xψ(iγ µ ∂µ−m)ψ Anna Pachol GV,SUSY ans SHO =
Partition function � Z = Fermionic Path Integral SUSY References The end Grassmann Variables Path Integral DψDψe i � d 4 xψ(iγ µ ∂µ−m)ψ = C det(iγ µ ∂µ−m) = C e Trln(iγµ ∂µ−m) G (2) (x1, x2) = Two point Green function: � DψDψe i � d 4 xψ(iγ µ ∂µ−m)ψ ψ(x1)ψ(x2) � DψDψe i � d 4 xψ(iγ µ ∂µ−m)ψ = C det(iγµ ∂µ − m)[−i(iγ µ ∂µ − m)] −1 C det(iγ µ ∂µ − m) Anna Pachol GV,SUSY ans SHO ⇒ =
Page 1 and 2: Fermionic Path Integral SUSY Refere
Page 3 and 4: Grassmann Variables Fermionic Path
Page 5 and 6: Integration Fermionic Path Integral
Page 7 and 8: Integration Fermionic Path Integral
Page 9 and 10: Integration � � dη(a + bη) +
Page 11 and 12: Integration � � dη(a + bη) +
Page 19 and 20: Gaussian integral Fermionic Path In
Page 21 and 22: Gaussian integral � = Fermionic P
Page 23 and 24: Generalisation Fermionic Path Integ
Page 25 and 26: Generalisation Fermionic Path Integ
Page 27 and 28: Proof Fermionic Path Integral SUSY
Page 29 and 30: Proof i=1 Fermionic Path Integral S
Page 31 and 32: Proof Fermionic Path Integral SUSY
Page 43 and 44: Dirac field Fermionic Path Integral
Page 45: Partition function � Z = Fermioni
Page 75: The end Fermionic Path Integral SUS

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