Check this 1 1 0 3 3 4 4 0 1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: rged) weak vertex factor is now purely vectorial, just as for QED, but it couples only to le] ­handed electrons and le] ­handed neutrinos. Similarly, we have νe + j µ = eL γ µν L for the process e W 8 We can also write the electromagneBc “current” in terms of these chiral spinors: em j µ = −e γ µ e = −(eL + eR )γ µ (eL + eR ) = −eL γ µ eL − eR γ µ eR Where the factor of  ­1 is convenBonal, accounBng for the charge of the electron. I have used u u + uR (which is easy to show, if it is not obvious to you) = L em Note that the cross ­terms vanish in the expression for j µ ⎛ 1+ γ 5 ⎞ ⎛ 1+ γ 5 ⎞ ⎛ 1− γ 5 ⎞ ⎛ 1+ γ 5 ⎞ eLγ µ eR = e ⎜ γ e = eγ µ ⎜ e=0 2 ⎟ µ⎜ 2 ⎟ 2 ⎟⎜ 2 ⎟ ⎝ ⎠⎝ ⎠ ⎝ ⎠⎝ ⎠ Since (1 γ ) (1 + γ ) = 1 − ( = 0 − γ ) 5 5 52 This more generally implies that a vector interacBon cannot couple a LH parBcle state to a RH parBcle state...
View Full Document

This document was uploaded on 02/11/2014.

Ask a homework question - tutors are online