Reply to Hepth-9509028
نویسندگان
چکیده
Much is known about the charged sectors of Quantum Electrodynamics (QED). The state space displays rich superselection sectors where, in particular, the velocity of charged particles , like the electron, labels different sectors [1,2]. The BRST charge can be used effectively to project out the gauge invariant, physical states, but the resulting state space is an infinite tensor product of these superselection sectors, i.e., the BRST charge is not capable, on its own, of distinguishing between these physically distinct sectors. In our letter [3] we introduced a new, non-local, non-covariant symmetry that projected out the static sector of QED (described by Dirac's dressed electron). The non-static extension of Dirac's construction are still BRST, and indeed anti-BRST, invariant, but are not invariant under our symmetry. As such our symmetry, in conjunction with BRST, can be used to extract an irreducible sector of the intricate structure of QED. Indeed, as one would expect to be able to recover the other, velocity dependent sectors in a similar fashion, we conjecture that our symmetry is but one member of a whole class of distinct, new, non-covariant symmetries of QED.
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