Lorentz Breaking Effective Field Theory Models for Matter and Gravity: Theory and Observational Constraints

Liberati, Stefano; Mattingly, David

doi:10.1007/978-3-319-20224-2_11

Cited by 6 publications

(12 citation statements)

References 195 publications

(332 reference statements)

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“…Given the the latters can be reduced to mSME constraints, we shall here discuss specifically only the first kind (one can find a discussion of the second kind in e.g. [120]).…”

Section: Constraints On Einstein-aether Gravitymentioning

confidence: 99%

Tests of Lorentz invariance: a 2013 update

Liberati

2013

Class. Quantum Grav.

404

435

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We present an updated review of Lorentz invariance tests in Effective field theories (EFT) in the matter as well as in the gravity sector. After a general discussion of the role of Lorentz invariance and a derivation of its transformations along the so called von Ignatovski theorem, we present the dynamical frameworks developed within local EFT and the available constraints on the parameters governing the Lorentz breaking effects. In the end, we discuss two specific examples, the OPERA "affaire" and the case of Hořava-Lifshitz gravity. The first case will serve as an example, and a caveat, of the practical application of the general techniques developed for constraining Lorentz invariance violation (LIV) to a direct observation potentially showing these effects. The second case will show how the application of the same techniques to a specific quantum gravity scenario has far fetching implications not foreseeable in a purely phenomenological EFT approach.

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“…Given the the latters can be reduced to mSME constraints, we shall here discuss specifically only the first kind (one can find a discussion of the second kind in e.g. [120]).…”

Section: Constraints On Einstein-aether Gravitymentioning

confidence: 99%

Tests of Lorentz invariance: a 2013 update

Liberati

2013

Class. Quantum Grav.

404

435

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“…On the other hand, in general relativity one solves the analogous problem of comparing tangent spaces at the different spacetime points by using the tetrad e a µ (x) that maps all these spaces into one 'ambient' Minkowski space: 4 . We made use of the same trick in constructing our free action (36).…”

Section: Spacetime and Relative Localitymentioning

confidence: 99%

“…These were the motivations that served as a launching pad for two major research projects: one positing abandoning the Lorentz invariance, leading to construction of models with Lorentz Invariance Violation (LIV) (see [3][4][5] for a review); and the second, known under the name of Doubly (or Deformed) Special Relativity (DSR), in which much milder alternation of the Poincaré symmetry was posed. In both cases it was implicitly understood that deviations from the standard symmetries of special relativity are of the quantum gravity origin, although the explicit relation relations between the two was never understood in a satisfactory way.…”

Section: Introductionmentioning

confidence: 99%

Living in Curved Momentum Space

Kowalski-Glikman

2013

Int. J. Mod. Phys. A

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In this paper we review some aspects of relativistic particles' mechanics in the case of a non-trivial geometry of momentum space. We start with showing how the curved momentum space arises in the theory of gravity in 2+1 dimensions coupled to particles, when (topological) degrees of freedom of gravity are solved for. We argue that there might exist a similar topological phase of quantum gravity in 3+1 dimensions. Then we characterize the main properties of the theory of interacting particles with curved momentum space and the symmetries of the action. We discuss the spacetime picture and the emergence of the principle of relative locality, according to which locality of events is not absolute but becomes observer dependent, in the controllable, relativistic way. We conclude with the detailed review of the most studied κ-Poincaré framework, which corresponds to the de Sitter momentum space.

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“…While we have shown that the Lorentzian metric structure can emerge as an effective property of the gravity sector at long distances, it is phenomenologically important to ensure that not only the Lorentzian signature but also the Lorentz symmetry can emerge in the matter sector at long distances [18]. For the emergence of Lorentzian signature in the matter sector, we thus need to couple the matter sector to derivatives of the clock field as in [7].…”

Section: Discussionmentioning

confidence: 99%

Emergence of time in power-counting renormalizable Riemannian theory of gravity

Mukohyama

2013

Phys. Rev. D

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We suggest a new scenario of gravitation in which gravity at the fundamental level is described by a Riemannian (i.e. locally Euclidean) theory without the notion of time. The Lorentzian metric structure and the notion of time emerge as effective properties at long distances. On the other hand, at short distances, higher derivative terms compatible with the Riemannian diffeomorphism become important and the system is described by a power-counting renormalizable Riemannian theory.

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Lorentz Breaking Effective Field Theory Models for Matter and Gravity: Theory and Observational Constraints

Cited by 6 publications

References 195 publications

Tests of Lorentz invariance: a 2013 update

Tests of Lorentz invariance: a 2013 update

Living in Curved Momentum Space

Emergence of time in power-counting renormalizable Riemannian theory of gravity

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