A no-go theorem for generalized vector Galileons on flat spacetime

Cédric Deffayet; A. Emir Gümrükçüoǧlu; Shinji Mukohyama; Yi Wang

doi:10.1007/JHEP04(2014)082

A no-go theorem for generalized vector Galileons on flat spacetime

Cédric Deffayet, A. Emir Gümrükçüoǧlu, Shinji Mukohyama, Yi Wang

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Abstract

We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of U(1) gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for the vector field are gauge invariant and Lorentz invariant, follow from an action and contain no more than second derivative on A _μ, the equations of motion are at most linear with respect to second derivative of A _μ .

Original language	English
Article number	082
Journal	Journal of High Energy Physics
Volume	2014
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2014)082
Publication status	Published - 11 Apr 2014
Externally published	Yes

Keywords

Field Theories in Higher Dimensions
Gauge Symmetry

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A no-go theoremFinal published version, 392 KBLicence: CC BY

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abstract = "We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of U(1) gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for the vector field are gauge invariant and Lorentz invariant, follow from an action and contain no more than second derivative on A μ, the equations of motion are at most linear with respect to second derivative of A μ .",

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AU - Wang, Yi

PY - 2014/4/11

Y1 - 2014/4/11

N2 - We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of U(1) gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for the vector field are gauge invariant and Lorentz invariant, follow from an action and contain no more than second derivative on A μ, the equations of motion are at most linear with respect to second derivative of A μ .

AB - We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of U(1) gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for the vector field are gauge invariant and Lorentz invariant, follow from an action and contain no more than second derivative on A μ, the equations of motion are at most linear with respect to second derivative of A μ .

KW - Field Theories in Higher Dimensions

KW - Gauge Symmetry

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A no-go theorem for generalized vector Galileons on flat spacetime

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