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### Classical Fermion and Grassmann number

In the theory of relativistic wave equations, we derive the Dirac equation and Klein-Gordon equation by using representation theory of Poincare algebra. For example, in this paper http://arxiv.org/abs/...
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### What conserved quantity does Supersymmetry imply?

According to Noether's theorem, for every continuous symmetry there is a conserved quantity. What is the quantity that corresponds to Supersymmetry?
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### How are supersymmetry transformations even defined?

I am just starting to read about supersymmetry for the first time, and there is something bothering me. Supersymmetry transformations transform between bosonic fields and fermionic fields, but I don't ...
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### Dirac Lagrangian in Classical Field Theory with Grassmann numbers

The concept of the Grassmann number makes me confused. It is used to describe fermionic fields, especially path integral quantization. Also, it is used to deal with the classical field theory of ...
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There have been a couple of questions on fermionic coherent states, but I didn't find any that covered the following question: If I define a coherent fermionic state in the 2-level-system spanned by $... • 730 5 votes 1 answer 788 views ### Number of Grassmann generators for Dirac field? How many Grassmann generators are sufficient for the description of a Dirac spinor in 4 dimensions? i.e. The Dirac field is a map to$\Lambda_N$, the space of supernumbers with$N$real Grassmann ... • 6,301 5 votes 1 answer 343 views ### What is the Grassmann parameter$\epsilon\$ in the BRST transformation?

Whenever I learn about anything involving fermions and the path integral, I get confused about Grassmann numbers. I'm currently following Weigand's notes, specifically the section on BRST symmetry. ...
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