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Residual gauge symmetry in light-cone electromagnetism
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Residual gauge symmetry in light-cone electromagnetism
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We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called $lc_2$ formalism, which contains only the two physical degrees of freedom, allow for a subset of residual gauge transformations. We relax the boundary conditions imposed on the fields in order to obtain all the residual gauge transformations. We compute the canonical generators for Poincar\'e and gauge transformations with these relaxed boundary conditions. This enables us to distinguish between the trivial (proper) and large (improper) gauge transformations in light-cone electromagnetism. We then employ the Newman-Penrose formalism to identify the incoming and outgoing radiation fields. We comment on the quadratic form structure of light-cone Hamiltonians, often encountered in $lc_2$ gauge theories.
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Cited by 1 Pith paper
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Soft charges and zero modes at null boundaries
Residual zero modes of the null-surface constraint matrix generate quasilocal soft edge charges that form an Abelian algebra without central extension, at infinity and at horizons.
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