%0 Generic %1 hertzberg2020symmetries %A Hertzberg, Mark P. %A Litterer, Jacob A. %D 2020 %K QFT fundamental %T Symmetries from Locality Part 1: Electromagnetism and Charge Conservation %U http://arxiv.org/abs/2005.01731 %X 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.

@misc{hertzberg2020symmetries, 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.}, added-at = {2020-05-06T11:27:26.000+0200}, author = {Hertzberg, Mark P. and Litterer, Jacob A.}, biburl = {https://www.bibsonomy.org/bibtex/208f20cbabe35f2ef69dc7b44f8c61118/kota_n}, description = {Symmetries from Locality Part 1: Electromagnetism and Charge Conservation}, interhash = {d0a15ae75860b6aeb8768311f920248f}, intrahash = {08f20cbabe35f2ef69dc7b44f8c61118}, keywords = {QFT fundamental}, note = {cite arxiv:2005.01731Comment: 7 pages in double column format}, timestamp = {2020-05-06T11:27:26.000+0200}, title = {Symmetries from Locality Part 1: Electromagnetism and Charge Conservation}, url = {http://arxiv.org/abs/2005.01731}, year = 2020 }