Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
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Dirac field<br />
Fermionic Path Integral<br />
SUSY<br />
References<br />
The end<br />
<strong>Grassmann</strong> <strong>Variables</strong><br />
Path Integral<br />
In similar way we can prove:<br />
� dη � dη ηiηje ηAη = (detA)(A −1 )ji<br />
A <strong>Grassmann</strong> field is a function of spacetime whose values are<br />
anticommuting numbers. We can define a <strong>Grassmann</strong> field ψ(x) in<br />
terms of any set of orthonormal basis functions:<br />
ψ(x) = �<br />
ψiφi(x)<br />
The basis functions φi(x) are ordinary complex valued functions,<br />
while the coefficients ψi are <strong>Grassmann</strong> numbers.<br />
i<br />
Anna Pachol GV,SUSY ans SHO
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