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Grassmann Variables, Supersymmetry and Supersymmetric ...

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Integration<br />

�<br />

�<br />

dη(a + bη) +<br />

Fermionic Path Integral<br />

SUSY<br />

References<br />

The end<br />

�<br />

dηbξ =<br />

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

Path Integral<br />

�<br />

dηf (η) +<br />

dηbξ . �<br />

= dηf (η)<br />

Rules for integrals with anticommuting variables are following:<br />

�<br />

dηbξ = 0, ∀b − ordinary, ξ − grassmanian<br />

�<br />

�<br />

dηη = 1 <strong>and</strong><br />

dη = 0<br />

�<br />

�<br />

dθ<br />

Anna Pachol GV,SUSY ans SHO<br />

dηηθ = 1

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