TY - JOUR

T1 - Volume-preserving diffeomorphisms' versus local gauge symmetry

AU - Guendelman, E. I.

AU - Nissimov, E.

AU - Pacheva, S.

N1 - Funding Information:
’ E-mail address: [email protected]. L E-mail address: [email protected]. ’ On leave from the Institute of Nuclear Research and Nuclear Energy, Boulevard Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria. E-mail addresses: [email protected], [email protected]. j Supported in part by Bulgarian NSF grant Ph-401. ’ E-mail address: [email protected].

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.

UR - http://www.scopus.com/inward/record.url?scp=0002337892&partnerID=8YFLogxK

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 -