TY - JOUR
T1 - On the subsidiary condition in quantum electrodynamics
AU - Maison, Dieter
AU - Zwanziger, Daniel
N1 - Funding Information:
on which the metric is non-negative and on which Maxwell's equations hold in expectation value. Here 3 • A-(x) is the negative frequency part of the free field a -A (x). In the present note we demonstrate that eq. (1.1) has no charged solutions which are obtained by applying local operators to the vacuum. This is more of an inconvenience than an inconsistency of the theory. For if charge is present, it either comes in from t = _0% in which case it is not created locally, or else it is *Supported in part by funds from the National Science Foundation Grant No. GP-36481 X. **See \[3\]f or further references and a detailed discussion of the gauge condition in quantum electrodynamics. We follow the notation of \[3\].
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1975/6/9
Y1 - 1975/6/9
N2 - It is proven that no charged state obtained by applying a local operator to the vacuum can satisfy the Gupta-Bleuler subsidiary condition. The meaning of this result is illustrated in the simple model whereby the vector potential is coupled to an external classical current. Alternative ways of handling the difficulty with the subsidiary condition are listed.
AB - It is proven that no charged state obtained by applying a local operator to the vacuum can satisfy the Gupta-Bleuler subsidiary condition. The meaning of this result is illustrated in the simple model whereby the vector potential is coupled to an external classical current. Alternative ways of handling the difficulty with the subsidiary condition are listed.
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U2 - 10.1016/0550-3213(75)90117-0
DO - 10.1016/0550-3213(75)90117-0
M3 - Article
AN - SCOPUS:0010869574
SN - 0550-3213
VL - 91
SP - 425
EP - 431
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -