Connection between neutrino and gauge invariance: A two-dimensional model | Zendy

R. Ferrari | Zendy

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Connection between neutrino and gauge invariance: A two-dimensional model

Author(s) -

R. Ferrari

Publication year - 1980

Publication title -

lettere al nuovo cimento della societa italiana di fisica/lettere al nuovo cimento

Language(s) - English

Resource type - Journals

eISSN - 0375-930X

pISSN - 0024-1318

DOI - 10.1007/bf02750295

Subject(s) - physics , connection (principal bundle) , neutrino , gauge theory , particle physics , theoretical physics , introduction to gauge theory , gauge (firearms) , gauge boson , quantum electrodynamics , geometry , mathematics , archaeology , history

We discuss a two-dimensional model of interaction between electrons and neutrinos. The absence of a neutrino mass allows for a local conservation law, similar to gauge invariance in quantum electrodynamics. We discuss the peculiar fact that the tree approximation gives wrong results for the conservation equation of the current associated with gauge transformations. Moreover, we show that the anomaly of the axial current is responsible for this property.

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