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Generalized Maxwell equations and charge conservation censorship.

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Title: Generalized Maxwell equations and charge conservation censorship.
Authors: Modanese, G.1
Source: Modern Physics Letters B. Feb2017, Vol. 31 Issue 6, p-1. 8p.
Subjects: Maxwell equations, Generalizability theory, Charge conservation, Aharonov-Bohm effect, Electrodynamics
Abstract: The Aharonov-Bohm electrodynamics is a generalization of Maxwell theory with reduced gauge invariance. It allows to couple the electromagnetic field to a charge which is not locally conserved, and has an additional degree of freedom, the scalar field , usually interpreted as a longitudinal wave component. By reformulating the theory in a compact Lagrangian formalism, we are able to eliminate S explicitly from the dynamics and we obtain generalized Maxwell equation with interesting properties: they give as the (conserved) sum of the (possibly non-conserved) physical current density , and a 'secondary' current density which is a nonlocal function of . This implies that any non-conservation of is effectively 'censored' by the observable field , and yet it may have real physical consequences. We give examples of stationary solutions which display these properties. Possible applications are to systems where local charge conservation is violated due to anomalies of the Adler-Bell-Jackiw (ABJ) kind or to macroscopic quantum tunnelling with currents which do not satisfy a local continuity equation. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The Aharonov-Bohm electrodynamics is a generalization of Maxwell theory with reduced gauge invariance. It allows to couple the electromagnetic field to a charge which is not locally conserved, and has an additional degree of freedom, the scalar field , usually interpreted as a longitudinal wave component. By reformulating the theory in a compact Lagrangian formalism, we are able to eliminate S explicitly from the dynamics and we obtain generalized Maxwell equation with interesting properties: they give as the (conserved) sum of the (possibly non-conserved) physical current density , and a 'secondary' current density which is a nonlocal function of . This implies that any non-conservation of is effectively 'censored' by the observable field , and yet it may have real physical consequences. We give examples of stationary solutions which display these properties. Possible applications are to systems where local charge conservation is violated due to anomalies of the Adler-Bell-Jackiw (ABJ) kind or to macroscopic quantum tunnelling with currents which do not satisfy a local continuity equation. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S021798491750052X
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        Text: English
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        Type: general
      – SubjectFull: Generalizability theory
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      – SubjectFull: Charge conservation
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      – SubjectFull: Aharonov-Bohm effect
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      – SubjectFull: Electrodynamics
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