Sign up ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free.

It might be a silly question, but I was never mathematically introduced to the topic. Is there a representation for Grassmann Variables using real field. For example, gamma matrices have a representation, is it not possible for Grassmann Variables? The reason for a representation is, then probably it will be easier to derive some of the properties.

share|cite|improve this question
Related: – Chris LHC Jan 29 '14 at 13:17

1 Answer 1

up vote 4 down vote accepted

I think that this Wikipedia article will tells this all.

The only problem is that for $n$ (I mean $\theta_1,\theta_2,...\theta_n$) Grassmann numbers you will need to use $2^n\times 2^n$ matrices.

share|cite|improve this answer
This seems related to the Jordan-Wigner transformation that maps a fermion system to a boson system. – Xiao-Gang Wen Jun 2 '12 at 4:51

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.