Different representations of spinors

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i_hbar
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First, greetings from newbie to "staff"

Now, let's start:

Since some days I'm struggling a little bit with this paper: http://jmp.aip.org/resource/1/jmapaq/v5/i9/p1204_s1?isAuthorized=no , especially with two questions:

1) On page 1205, II, A (right column): What does [itex]\tilde v B \gamma_5[/itex] mean? The gamma 5 matrix isn't the problem, but what is the B and the tilde?? For me the "transpose-conjugate" of a (Dirac-)spinor should be more simply like [itex]v^{\dagger}\gamma_0[/itex].

2) Some lines later one finds the "basic equation". Isn't the term [itex]c_{\mu \nu} \gamma^{\mu \nu}[/itex] there equal to zero?

Thanks in advance.
 
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The searched answer(s) can be read in Ref. 10 of the paper.
-> Problem is solved.