Emergent Lorentz invariance with chiral fermions

Kharuk, Ivan; Sibiryakov, Sergey

doi:10.1134/s0040577916120084

Cited by 15 publications

(15 citation statements)

References 91 publications

(169 reference statements)

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“…Other important issues include how the theory couples with matter [74,98], what are the effects of the Lorentz violation [27,[31][32][33]. To the latter, we need at least to stay below current experimental constraints [24,25].…”

Section: Discussionmentioning

confidence: 99%

“…To the latter, we need at least to stay below current experimental constraints [24,25]. As mentioned in the Introduction, this is not an easy task at all [26,27,[31][32][33]. To have a proper understanding of these effects, the coupling of Hořava gravity with matter will play a crucial role.…”

Section: Discussionmentioning

confidence: 99%

“…Recently, it was proposed a mechanism of SUSY breaking by coupling a Lorentz-invariant supersymmetric matter sector to nonsupersymmetric gravitational interactions with Lifshitz scaling, and shown that it can lead to a consistent Hořava gravity [27] 1 . Another scenario is to go beyond the perturbative realm, so that strong interactions will take over at an intermediate scale (which is in between the Lorentz violation and the infrared (IR) scales) and accelerate the renormalization group (RG) flow quickly to the LI fixed point in the IR [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

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Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

185

194

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Hořava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity since the middle of 1970's, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultrahigh energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent developments of Hořava gravity. In particular, we first present four most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent developments of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics; (ii) non-relativistic gauge/gravity duality; and (iii) quantization of the theory. The studies in these areas can be generalized to other gravitational theories with broken Lorentz invariance. CONTENTS

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

185

194

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“…Lorentz invariance appears to be a fundamental symmetry of nature as we know it [1]. Nevertheless, there have been several attempts to understand it as a property that emerges only at low energies [2][3][4][5][6][7][8]. That this is indeed possible in principle has been known for quite a while in condensed matter physics, where Lorentz symmetry often appears in symmetrypoor lattice models near the fixed points of the renormalization group flow [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions

Roy

Juričić

Herbut

2016

J. High Energ. Phys.

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Abstract:We study the renormalization group flow of the velocities in the field theory describing the coupling of the massless quasi-relativistic fermions to the bosons through the Yukawa coupling, as well as with both bosons and fermions coupled to a fluctuating U(1) gauge field in two and three spatial dimensions. Different versions of this theory describe quantum critical behavior of interacting Dirac fermions in various condensedmatter systems. We perform an analysis using one-loop -expansion about three spatial dimensions, which is the upper critical dimension in the problem. In two dimensions, we find that velocities of both charged fermions and bosons ultimately flow to the velocity of light, independently of the initial conditions, the number of fermionic and bosonic flavors, and the value of the couplings at the critical point. In three dimensions, due to the analyticity of the gauge field propagator, both the U(1) charge and the velocity of light flow, which leads to a richer behavior than in two dimensions. We show that all three velocities ultimately flow to a common terminal velocity, which is non-universal and different from the original velocity of light. Therefore, emergence of the Lorentz symmetry in the ultimate infrared regime seems to be a rather universal feature of this class of theories in both two and three dimensions.

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“…Supersymmetry is one such example [16], although this would require a supersymmetric version of Hořava gravity which is still unknown [17][18][19]. Another approach is to go beyond the perturbative realm, by strong interactions that take over at an intermediate scale between the Lorentz violation scale and some IR scale and accelerate the flow to Lorentz invariance in the IR [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Uninvited guest in mixed derivative Hořava gravity

et al. 2016

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We revisit the mixed-derivative extension of Hořava gravity which was designed to address the naturalness problems of the standard theory in the presence of matter couplings. We consider the minimal theory with mixed-derivative terms that contain two spatial and two temporal derivatives. Including all terms compatible with the (modified) scaling rules and the foliation-preserving diffeomorphisms, we calculate the dispersion relations of propagating modes. We find that the theory contains four propagating degrees of freedom, as opposed to three in the standard Hořava gravity. The new degree of freedom is another scalar graviton, and it is unstable at low energies. Our result brings tension to the Lorentz-violation suppression mechanism that relies on separation of scales.

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Emergent Lorentz invariance with chiral fermions

Cited by 15 publications

References 91 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions

Uninvited guest in mixed derivative Hořava gravity

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