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Symmetries from Locality Part 1: Electromagnetism and Charge Conservation | | Mark P. Hertzberg
; Jacob A. Litterer
; | | Date: |
4 May 2020 | | Abstract: | It is well known that a theory of the (i) Lorentz invariant and (ii) locally
interacting (iii) two degrees of freedom of a massless spin 1 particle, the
photon, leads uniquely to electromagnetism at large distances. In this work, we
remove the assumption of (i) Lorentz boost invariance, but we still demand (ii)
and (iii). We consider several broad classes of theories of spin 1, which in
general explicitly violate Lorentz symmetry. We restrict to the familiar two
degrees of freedom of the photon. We find that most theories lead to
non-locality and instantaneous signaling at a distance. By demanding a mild
form of locality (ii), namely that the tree-level exchange action is manifestly
local, we find that the photon must still be sourced by a conserved charge with
an associated internal symmetry. This recovers the central features of
electromagnetism, although it does not by itself impose Lorentz boost symmetry.
The case of gravitation dramatically improves the final conclusion and is
reported in detail in our accompanying paper Part 2. | | Source: | arXiv, 2005.1731 | | Services: | Forum | Review | PDF | Favorites | |
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