Electron mass radiative corrections

[Safinaz]

Hi all,

I'd like to know how the chiral symmetry protect the electron mass in the one-loop calculation of the electron self energy
and we finally get the mass radiative corrections as a logarithmic divergence.

It's known that the Dirac particle mass term : $m \bar{\psi} \psi$ could be written as $m (\bar{\psi}_L \psi_R + \bar{\psi}_R \psi_L )$, so is there a simple explanation why the chiral symmetry keeps $\Delta m \sim ln \Lambda \sim m$, where $\Lambda$ the cutoff.

Bests,
Safinaz

 

[andrien]

Chiral symmetry just protects the electron from getting mass, if it started massless. It has nothing to do with the fact that loop correction to electron diverges logarithmically.