Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
Grassmann Variables, Supersymmetry and Supersymmetric ...
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Fermionic Path Integral<br />
SUSY<br />
References<br />
The end<br />
<strong>Grassmann</strong> <strong>Variables</strong><br />
Path Integral<br />
One missing step - transformation of measure<br />
when we do transformation of variables:<br />
η ′ i = Uijηj<br />
the product of new (grassmann) variables is following:<br />
n�<br />
i=1<br />
η ′ i = 1<br />
n! ɛij...lη ′ iη ′ j...η ′ l = 1<br />
n! ɛij...lUii ′ηi ′Ujj ′ηj ′...Ull ′ηl ′ =<br />
= 1<br />
n! ɛij...lUii ′Ujj ′...Ull ′ηi ′ηj ′...ηl ′<br />
Anna Pachol GV,SUSY ans SHO
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