Volume 75, Number 2, July 2006
|Page(s)||189 - 194|
|Published online||21 June 2006|
Mass for plasma photons from gauge symmetry breaking
CFP and CFIF, Instituto Superior Técnico - 1096 Lisboa, Portugal
2 Centre for Fundamental Physics, Rutherford Appleton Laboratory Chilton Didcot, Oxfordshire, UK
3 CENTRA, Instituto Superior Técnico - Av. Rovisco Pais 1049-001 Lisboa, Portugal
4 Departamento de Física, Universidade da Beira Interior R. Marquês D'Ávila e Bolama, 6200-081 Covilhã, Portugal
Accepted: 30 May 2006
We derive the effective masses for photons in unmagnetized plasma waves using a quantum field theory with two vector fields (gauge fields). In order to properly define the quantum field degrees of freedom we re-derive the classical wave equations on light-front gauge. This is needed because the usual scalar potential of electromagnetism is, in quantum field theory, not a physical degree of freedom that renders negative energy eigenstates. We also consider a background local fluid metric that allows for a covariant treatment of the problem. The different masses for the longitudinal (plasmon) and transverse photons are in our framework due to the local fluid metric. We apply the mechanism of mass generation by gauge symmetry breaking recently proposed by the authors by giving a non-trivial vacuum-expectation-value to the second vector field (gauge field). The Debye length is interpreted as an effective compactification length and we compute an explicit solution for the large gauge transformations that correspond to the specific mass eigenvalues derived here. Using a usual quantum field theory canonical quantization, we obtain the usual results in the literature. Although none of these ingredients are new to physicist, as far as the authors are aware it is the first time that such constructions are applied to plasma physics. Also we give a physical interpretation (and realization) for the second vector field in terms of the plasma background in terms of known physical phenomena.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 03.70.+k – Theory of quantized fields / 11.15.-q – Gauge field theories
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.