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Necessary Dependence of Currents on Fields They Generate

Boulware, D. G. and Deser, S. (1966) Necessary Dependence of Currents on Fields They Generate. Physical Review, 151 (4). pp. 1278-1286. ISSN 0031-899X. doi:10.1103/physrev.151.1278.

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It is shown that in local (proper) Lorentz-invariant theories involving axial-vector, or tensor currents (conserved or not), the latter must vanish, if they commute at equal times with the fields they generate. The need for explicit field dependence of currents is demonstrated for gradient-coupled spinless and massive spin-one fields, as well as for electrodynamics with minimal or nonminimal coupling. The field-dependence requirement is distinct from that (already needed for free fields) of "spreading points" to make the current operators well-defined. The relation between the two, however, essentially fixes the form of this dependence. Applications are made to partially conserved currents, ∂_μ^μ = αϕ; if j^0 commutes with ϕ, the latter vanishes.

Item Type:Article
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Deser, S.0000-0001-9285-9434
Additional Information:© 1966 American Physical Society. (Received 13 July 1966) Supported in part by the U. S. Atomic Energy Commission under RLO-1388B and by the U. S. Air Force, Office of Aerospace Research, OSR grant AF 368-65.
Funding AgencyGrant Number
Atomic Energy CommissionRLO-1388B
Air Force Office of Scientific Research (AFOSR)AF 368-65
Issue or Number:4
Record Number:CaltechAUTHORS:20180724-143009857
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88207
Deposited By: George Porter
Deposited On:24 Jul 2018 22:18
Last Modified:16 Nov 2021 00:24

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