Srednicki — Quantum Field Theory · Problem 88.3

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · standard-model-lepton-sector

Problem

Show that the sum of eqs.\,(88.32) and (88.33), when rewritten in terms of fields of definite mass, has a global symmetry U(1)×U(1)×U(1)\mathrm{U}(1)\times\mathrm{U}(1)\times\mathrm{U}(1). The corresponding charges are called electron number, muon number, and tau number; the sum of the charges is the lepton number. List the value of each charge for each Dirac field EI\mathcal{E}_I and NLI\mathcal{N}_{\rm L I}.

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