Storming Majorana's Tower with OAM states of light in a plasma

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Published 15 December 2011 Europhysics Letters Association
, , Citation F. Tamburini and B. Thidé 2011 EPL 96 64005 DOI 10.1209/0295-5075/96/64005

0295-5075/96/6/64005

Abstract

We extend the relationship between mass and spin angular momentum, described by the bosonic spectrum of positive definite mass particles of the Majorana solution to the Dirac equation, to photons that acquire an effective Proca mass through the Anderson-Higgs mechanism (Anderson P. W., Phys. Rev., 130 (1963) 439) when they propagate in a plasma. In an earlier paper (Tamburini F. et al., EPL, 90 (2010) 45001) we showed that if the plasma is structured, it can impart orbital angular momentum (OAM) to the photons that reduces the total Proca photon mass. Here we show, through a generalisation of Majorana's solution, that photons with OAM in a plasma cannot assume negative squared mass states. This means that there exist interesting analogies with Quantum Gravity or General Relativity models involving a modified action of the Lorentz group.

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10.1209/0295-5075/96/64005