In peskin at page 319 right above equation (10.6) he writes(adsbygoogle = window.adsbygoogle || []).push({});

"If the constant term in a taylor expansion of the self energy were proportional to the cutoff ##\Lambda##, the electron mass shift would also have a term proportional to ##\Lambda##. But the electron mass shift must actually be proportional to ##m## since chiral symmetry would forbid a mass shift if ##m## were zero."

So chiral symmetry is a symmetry between right and left handed fields. If the mass is zero the Lagrangian has this symmetry and the axial current is conserved classically. But how does this symmetry restrict the particle from getting a mass?

Is there an restriction within QFT which prevents a massless particle from gaining mass in mass renormalization?

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# Self energy logarithmic divergence due to chiral symmetry.

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