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Spinnor

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Thanks for any help!

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- Thread starter Spinnor
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- #1

Spinnor

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Thanks for any help!

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Thanks for any help!

Different authors use slightly different definitions for "funky weird stuff". Which definition are you using?

- #3

Khashishi

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- #4

Spinnor

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Why does the Dirac equation in 1+1 dimensions use 2 component spinors but more important what do the 2 compontents ? See the link below for a good paper on the Dirac equation in 1+1 d.

http://academic.reed.edu/physics/faculty/wheeler/documents/Classical Field Theory/Miscellaneous Essays/A. 2D Dirac Equation.pdf

Different authors use slightly different definitions for "funky weird stuff". Which definition are you using?

Maybe spinors only do "funky" weird stuff in 3+1 spacetime? Funky, like a 4pi rotation is the same as no rotation. Why do we need spinors in 1+1d spacetime and do they have any interesting transformation properties?

See link below for a nice paper on the Dirac equation in 1+1d spacetime.

http://academic.reed.edu/physics/faculty/wheeler/documents/Classical Field Theory/Miscellaneous Essays/A. 2D Dirac Equation.pdf

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In 1+1 spacetime dimensions, you still have positive/negative energy solutions.

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Spinnor

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What if any physics is encoded in the 2 component spinor?

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Spinnor

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If you go to the bottom of the Wiki page on spinors,

http://en.wikipedia.org/wiki/Spinor#Summary_in_low_dimensions

and look at the metric with signature (1,1) it looks like there is "room" for all kinds of "stuff" that spins, what ever that means in 1+1d spacetime?

http://en.wikipedia.org/wiki/Spinor#Summary_in_low_dimensions

and look at the metric with signature (1,1) it looks like there is "room" for all kinds of "stuff" that spins, what ever that means in 1+1d spacetime?

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