Symmetry breaking and restoration in Lifshitz type theories

Farakos, K.; Metaxas, Dimitrios

doi:10.1016/j.physletb.2012.01.005

Cited by 14 publications

(11 citation statements)

References 36 publications

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“…Recently, the theory of Lifshitz scalar fields has been intensively studied and made applications to various cases [327][328][329][330][331][332][333].…”

mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

176

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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“…Recently, the theory of Lifshitz scalar fields has been intensively studied and made applications to various cases [327][328][329][330][331][332][333].…”

mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

176

194

View full text Add to dashboard Cite

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“…The article [20] shows a similar calculation, for z = 2 and z = 3, and argue that in the case z = 2 the symmetry is restored at finite temperature.…”

Section: Dynamical Symmetry Breakingmentioning

confidence: 63%

“…Starting from the massless bare potential λφ 4 /24, where [φ] = 1/2 and [λ] = 3, the one-loop effective potential at zero temperature is [20] …”

Section: Dynamical Symmetry Breakingmentioning

confidence: 99%

“…As remarked in [20], one must take care of non-analytical terms for φ = 0 in the one-loop effective potential, which cannot be taken into account to define the renormalized mass at φ = 0. According to [20], no such symmetry breaking occurs for z = 3, where also no symmetry restoration occurs at (one-loop) finite temperature if there is symmetry breaking at the classical level.…”

Section: Dynamical Symmetry Breakingmentioning

confidence: 99%

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Lifshitz-Type Quantum Field Theories in Particle Physics

Alexandre

2011

Int. J. Mod. Phys. A

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This introduction to Lifshitz-type field theories reviews some of its aspects in Particle Physics. Attractive features of these models are described with different examples, as the improvement of graphs convergence, the introduction of new renormalizable interactions, dynamical mass generation, asymptotic freedom, and other features related to more specific models. On the other hand, problems with the expected emergence of Lorentz symmetry in the IR are discussed, related to the different effective light cones seen by different particles when they interact.1

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“…b z t. The smallest value of the critical exponent z is one which corresponds to the usual Lorentz symmetric field theories; higher values of z furnishes models with better ultraviolet behavior at the expenses of breaking Lorentz invariance. Many investigations of theories with such anisotropy have been reported, namely, quantization of gravitational models [8][9][10][11][12][13], applications to cosmology [14][15][16][17][18], studies in Lorentz symmetry restoration and the renormalization group [19][20][21][22][23][24] and other aspects of field theories [25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%