| Topic: |
Science > Physics |
| User: |
"Yi-Zen Chu; Yiren Qu" |
| Date: |
19 Sep 2003 01:10:39 AM |
| Object: |
Grassmann Variables (in Physics) |
Where can I learn more about Grassmann variables? I just had a lecture
on them recently, so I have been introduced to its anti-commuting
properties, behavior under integration and differentiation, etc.; I've
also heard it is used often in Quantum Field Theory.
Is there a place - books, website, et al - where I can learn more about
its applications, motivation and formal definitions, etc.?
Thanks for the help!
Yi-Zen
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| User: "Constantine" |
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| Title: Re: Grassmann Variables (in Physics) |
19 Sep 2003 10:22:50 AM |
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"Yi-Zen Chu; Yiren Qu" <y_i_-_z_e_n_._c_h_u_@_y_a_l_e_._e_d_u> wrote in
message news:bke6kt$8c3$1@news.wss.yale.edu...
Where can I learn more about Grassmann variables? I just had a lecture
on them recently, so I have been introduced to its anti-commuting
properties, behavior under integration and differentiation, etc.; I've
also heard it is used often in Quantum Field Theory.
Is there a place - books, website, et al - where I can learn more about
its applications, motivation and formal definitions, etc.?
Thanks for the help!
Yi-Zen
Try the book "Supermanifolds" by B. de Witt. I think it is the most complete
treatment of supernumbers and anticommutting numbers. Alternatively, in the
book "Ideas and Methods of Supersymmetry and Superspace" there is a very
short treatment (that actually follows de Witt's book).
Kostas.
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| User: "davidoff404" |
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| Title: Re: Grassmann Variables (in Physics) |
19 Sep 2003 07:02:51 AM |
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Yi-Zen Chu; Yiren Qu <y_i_-_z_e_n_._c_h_u_@_y_a_l_e_._e_d_u> wrote in
message news:bke6kt$8c3$1@news.wss.yale.edu...
Where can I learn more about Grassmann variables? I just had a lecture
on them recently, so I have been introduced to its anti-commuting
properties, behavior under integration and differentiation, etc.; I've
also heard it is used often in Quantum Field Theory.
Is there a place - books, website, et al - where I can learn more about
its applications, motivation and formal definitions, etc.?
Thanks for the help!
Yi-Zen
There's an introduction to them at
http://myhome.iolfree.ie/~physics/article_polished.pdf although it may be
slightly off-topic for what you want. B. de Witt's book "Supermanifolds" is
also quite a nice place to learn about graded algebras.
davidoff
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