Grassmann Variables, Supersymmetry and Supersymmetric ...

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Generalisation Fermionic Path Integral SUSY References The end Grassmann Variables Path Integral In n-dimensions: η = (η1, η2, ..., ηN) and η T = (η 1, η 2, ..., η N) Notation: � � � � dη1 dη1 dη2 dη2... � � dηN dηN = �N i=1 � Ni=1 η iAijηj = ηAη Anna Pachol GV,SUSY ans SHO � � dηi dηi
Generalisation Fermionic Path Integral SUSY References The end Grassmann Variables Path Integral In n-dimensions: η = (η1, η2, ..., ηN) and η T = (η 1, η 2, ..., η N) Notation: � � � � dη1 dη1 dη2 dη2... � � dηN dηN = �N i=1 � Ni=1 η iAijηj = ηAη i=1 Now we can prove: N� � � dηi dηie ηAη = detA Anna Pachol GV,SUSY ans SHO � � dηi dηi
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: 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 and 46: Partition function � Z = Fermioni
Page 47 and 48: Partition function � Z = Fermioni
Page 75:
The end Fermionic Path Integral SUS
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Grassmann Variables, Supersymmetry and Supersymmetric ...

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