On the problem of constraints in minimally coupled relativistic wave equations for particles of unique mass |
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Authors: | M Seetharaman T R Govindarajan P M Mathews |
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Institution: | (1) Department of Theoretical Physics, University of Madras, 600 025 Madras |
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Abstract: | We study the problem of a possible change in the number of constraints in linear relativistic wave equations (-iβ
μ
∂
μ
+m)ψ=0 for particles of unique mass, on introduction of minimal coupling to an external electromagnetic field. Complementing our
earlier work in which we obtained conditions for non-loss of constraints in equations characterised by the minimalβ-algebraβ
0
5 =β
0
3 we derive here the conditions for such theories not to generate more constraints than in the free case. The results are illustrated
by considering specific equations and a fallacy in certain conclusions of Kobayashi and Shamaly on this problem is pointed
out. |
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Keywords: | Relativistic wave equations minimal electromagnetic coupling constraints |
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