2010
DOI: 10.1007/jhep05(2010)095
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Energy’s and amplitudes’ positivity

Abstract: In QFT, the null energy condition (NEC) for a classical field configuration is usually associated with that configuration's stability against small perturbations, and with the subluminality of these. Here, we exhibit an effective field theory that allows for stable NECviolating solutions with exactly luminal excitations only. The model is the recently introduced 'galileon', or more precisely its conformally invariant version. We show that the theory's low-energy S-matrix obeys standard positivity as implied by… Show more

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Cited by 190 publications
(281 citation statements)
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“…They have also been used to violate the null energy condition [537,[544][545][546][547][548][549][550][551][552][553]. Covariantizing the galileons for such applications is subtle, it requires introducing non-minimal couplings to curvature, which generically destroys the shift symmetry [554][555][556][557][558] (for a construction which couples galileons covariantly to massive gravity while retaining galilean symmetry, see [559][560][561]).…”
Section: The Vainshtein Mechanism: Galileonsmentioning
confidence: 99%
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“…They have also been used to violate the null energy condition [537,[544][545][546][547][548][549][550][551][552][553]. Covariantizing the galileons for such applications is subtle, it requires introducing non-minimal couplings to curvature, which generically destroys the shift symmetry [554][555][556][557][558] (for a construction which couples galileons covariantly to massive gravity while retaining galilean symmetry, see [559][560][561]).…”
Section: The Vainshtein Mechanism: Galileonsmentioning
confidence: 99%
“…This superluminality is a generic feature of galileons-galileon interactions are derivative interactions, so a galileon background (even one which is arbitrarily weak) deforms the light-cone for perturbations in such a way that there is always a direction in which the speed of propagation is superluminal [546]. 31 With superluminality comes the risk of the standard ghastly paradoxes, such as traveling back in time to kill one's grandfather, which arise if closed time-like curves (CTC) are allowed to form.…”
Section: Perturbations Around the Spherically-symmetric Backgroundmentioning
confidence: 99%
“…[359] provides an extended review of what is presented here. The models in this table are comprised of a ghost condensate [356], Galileon genesis [230,237,238,360] based on conformal galileons, DBI genesis [233], and a recent proposal by Elder, Joyce and Khoury (EJK model) [359].…”
Section: Nec Violationmentioning
confidence: 99%
“…• Galileon genesis An alternative to violate the NEC without introducing gradient instabilities is given by conformal galileons [360,369] (see also Kinetic Gravity Braiding [234] used in the G-bounce [229]). The simplest conformally-invariant galileon Lagrangian in [237] takes the form (we follow again [359]),…”
Section: • Ghost Fieldsmentioning
confidence: 99%
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