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Higher derivative Chern–Simons extensions

Deser, S. and Jackiw, R. (1999) Higher derivative Chern–Simons extensions. Physics Letters B, 451 (1-2). pp. 73-76. ISSN 0370-2693. doi:10.1016/S0370-2693(99)00216-6.

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We study the higher-derivative extensions of the D=3 Abelian Chern–Simons topological invariant that would appear in a perturbative effective action's momentum expansion. The leading, third-derivative, extension /_(ECS) turns out to be unique. It remains parity-odd but depends only on the field strength, hence no longer carries large gauge information, nor is it topological because metric dependence accompanies the additional covariant derivatives, whose positions are seen to be fixed by gauge invariance. Viewed as an independent action, /_(ECS) requires the field strength to obey the wave equation. The more interesting model, adjoining /_(ECS) to the Maxwell action, describes a pair of excitations. One is massless, the other a massive ghost, as we exhibit both via the propagator and by performing the Hamiltonian decomposition. We also present this model's total stress tensor and energy. Other actions involving /_(ECS) are noted, as is the corresponding extension of the D=4 θ-term.

Item Type:Article
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URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 1999 Elsevier Science B.V. Received 26 January 1999, Available online 28 July 1999. Editor: H. Georgi. This work was supported by NSF grant PHY93–18511 and DOE grant DE–FC02–94ER40818.
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Department of Energy (DOE)DE–FC02–94ER40818
Issue or Number:1-2
Record Number:CaltechAUTHORS:20170912-082934268
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Official Citation:S. Deser, R. Jackiw, Higher derivative Chern–Simons extensions, Physics Letters B, Volume 451, Issue 1, 1999, Pages 73-76, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81339
Deposited By: Ruth Sustaita
Deposited On:12 Sep 2017 18:42
Last Modified:15 Nov 2021 19:42

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