Gents: Combining Chiral Currents with Translational Invariance

[Neitrino]

Gents,

Is it possible to have the not singular chiral current (singularity is due to the product of fermionic operators) and at the same time the translational invariance. Normaly to get rid of singularity in chiral current one is useing the point splitting regularisation (little shift of arguments of fermionic fields on epsilon) which spoils the translational invariance.

Thank you

 

[Neitrino]

My question is not correct?