Saturday, 14 March 2020

quantum field theory - Gauge-invariance of pole mass using Ward Identity


I am able to explicitly verify to one-loop order that pole masses are independent of the choice of gauge paramter.


But how do I use the Ward-Identity/Taylor-Slavnov identity show that the position of the poles in Greens functions are gauge-independent to all orders?


The difficulty I'm running into is in using the identities to make statements about the analytic structure of Green's functions.




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