Volume-preserving diffeomorphisms' versus local gauge symmetry

E. I. Guendelman; E. Nissimov; S. Pacheva

doi:10.1016/0370-2693(95)01109-4

Volume-preserving diffeomorphisms' versus local gauge symmetry

E. I. Guendelman, E. Nissimov, S. Pacheva

Department of Physics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We present a new form of quantum electrodynamics where the photons are composites made out of zero-dimensional scalar "primitives". The role of the local gauge symmetry is taken over by an infinite-dimensional global Noether symmetry - the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. A similar construction can be carried out for higher antisymmetric tensor gauge theories. Solutions of the Maxwell equations are automatically solutions of the new system. However, the latter possesses additional non-Maxwell solutions which display some interesting new effects: (a) a magneto-hydrodynamical analogy, (b) absence of the electromagnetic self-energy for electron plane wave solutions, and (c) gauge invariant photon mass generation, where the magnitude of the generated mass is arbitrary.

Original language	English
Pages (from-to)	57-64
Number of pages	8
Journal	Physics Letters B
Volume	360
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(95)01109-4
State	Published - 19 Oct 1995

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Volume-preserving diffeomorphisms' versus local gauge symmetry",

abstract = "We present a new form of quantum electrodynamics where the photons are composites made out of zero-dimensional scalar {"}primitives{"}. The role of the local gauge symmetry is taken over by an infinite-dimensional global Noether symmetry - the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. A similar construction can be carried out for higher antisymmetric tensor gauge theories. Solutions of the Maxwell equations are automatically solutions of the new system. However, the latter possesses additional non-Maxwell solutions which display some interesting new effects: (a) a magneto-hydrodynamical analogy, (b) absence of the electromagnetic self-energy for electron plane wave solutions, and (c) gauge invariant photon mass generation, where the magnitude of the generated mass is arbitrary.",

author = "Guendelman, {E. I.} and E. Nissimov and S. Pacheva",

note = "Funding Information: {\textquoteright} E-mail address: guendel@bguvm.bgu.ac.il. L E-mail address: emil@bgumail.bgu.ac.il. {\textquoteright} On leave from the Institute of Nuclear Research and Nuclear Energy, Boulevard Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria. E-mail addresses: emil@bgearn.bitnet, svetlana@bgearn.bitnet. j Supported in part by Bulgarian NSF grant Ph-401. {\textquoteright} E-mail address: svetlana@bgumail.bgu.ac.il.",

year = "1995",

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doi = "10.1016/0370-2693(95)01109-4",

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T1 - Volume-preserving diffeomorphisms' versus local gauge symmetry

AU - Guendelman, E. I.

AU - Nissimov, E.

AU - Pacheva, S.

N1 - Funding Information: ’ E-mail address: guendel@bguvm.bgu.ac.il. L E-mail address: emil@bgumail.bgu.ac.il. ’ On leave from the Institute of Nuclear Research and Nuclear Energy, Boulevard Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria. E-mail addresses: emil@bgearn.bitnet, svetlana@bgearn.bitnet. j Supported in part by Bulgarian NSF grant Ph-401. ’ E-mail address: svetlana@bgumail.bgu.ac.il.

PY - 1995/10/19

Y1 - 1995/10/19

N2 - We present a new form of quantum electrodynamics where the photons are composites made out of zero-dimensional scalar "primitives". The role of the local gauge symmetry is taken over by an infinite-dimensional global Noether symmetry - the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. A similar construction can be carried out for higher antisymmetric tensor gauge theories. Solutions of the Maxwell equations are automatically solutions of the new system. However, the latter possesses additional non-Maxwell solutions which display some interesting new effects: (a) a magneto-hydrodynamical analogy, (b) absence of the electromagnetic self-energy for electron plane wave solutions, and (c) gauge invariant photon mass generation, where the magnitude of the generated mass is arbitrary.

AB - We present a new form of quantum electrodynamics where the photons are composites made out of zero-dimensional scalar "primitives". The role of the local gauge symmetry is taken over by an infinite-dimensional global Noether symmetry - the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. A similar construction can be carried out for higher antisymmetric tensor gauge theories. Solutions of the Maxwell equations are automatically solutions of the new system. However, the latter possesses additional non-Maxwell solutions which display some interesting new effects: (a) a magneto-hydrodynamical analogy, (b) absence of the electromagnetic self-energy for electron plane wave solutions, and (c) gauge invariant photon mass generation, where the magnitude of the generated mass is arbitrary.

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U2 - 10.1016/0370-2693(95)01109-4

DO - 10.1016/0370-2693(95)01109-4

M3 - Article

AN - SCOPUS:0002337892

SN - 0370-2693

VL - 360

SP - 57

EP - 64

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -

Volume-preserving diffeomorphisms' versus local gauge symmetry

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