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Grassmann Variables, Supersymmetry and Supersymmetric ...

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Proof<br />

Fermionic Path Integral<br />

SUSY<br />

References<br />

The end<br />

<strong>Grassmann</strong> <strong>Variables</strong><br />

Path Integral<br />

Let assume A can be diagonalized by U-unitary:<br />

i=1<br />

A = U † DU<br />

where D is diagonal.<br />

N�<br />

� �<br />

dηi dηie ηAη N�<br />

� �<br />

= dηi dηie ηU† DUη<br />

i=1<br />

ξ = ηU † ; ξ = Uη ⇔ η = ξU; η = U † ξ<br />

Anna Pachol GV,SUSY ans SHO

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