From global symmetries to local currents: the free (scalar) case in 4 dimensions

Details From global symmetries to local currents: the free (scalar) case in 4 dimensions From global symmetries to local currents: the free (scalar) case in 4 dimensions

2008-11-28

arxiv.org/abs/0811.4760v2

Rev.Math.Phys.22:91-115,2010

Physics

Mathematical Physics

23 pages, final version to appear in Rev. Math. Phys., minor improvements

Scientific paper

10.1142/S0129055X10003904

Within the framework of algebraic quantum field theory, we propose a new method of constructing local generators of (global) gauge symmetries in field theoretic models, starting from the existence of unitary operators implementing locally the flip automorphism on the doubled theory. We show, in the simple example of the internal symmetries of a multiplet of free scalar fields, that through the pointlike limit of such local generators the conserved Wightman currents associated with the symmetries are recovered.

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