Abstract
This work discusses some developments in classical gauge field theory which have grown out of the ideas of non-standard Lagrangians in the framework of the calculus of variations. A substantial part of this work is concerned with the modification of some basic equations of classical field theories starting from a power-law Lagrangian functional with time-dependent power and which belongs to the class of non-standard Lagrangians. Many equations principally the modified Proca equation and some modified dispersion relations for the consequent field equations are derived.
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Author would like to thank the Department of Mathematics and Information Science at Neijiang Normal University for financial support.
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An erratum to this article is available at http://dx.doi.org/10.1007/s12648-013-0357-6.
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El-Nabulsi, A.R. Modified Proca equation and modified dispersion relation from a power-law Lagrangian functional. Indian J Phys 87, 465–470 (2013). https://doi.org/10.1007/s12648-012-0237-5
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DOI: https://doi.org/10.1007/s12648-012-0237-5