Impact of Lorentz violation on the dynamics of inflation

Avelino, P. P.; Bazeia, D.; Losano, L.; Menezes, R.; Rodrigues, J. J.

doi:10.1103/physrevd.79.123503

Cited by 15 publications

(9 citation statements)

References 22 publications

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“…Similar studies of more complicated systems composed of multiple species interacting in less trivial ways have been scarce until recently [61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77].…”

Section: Introductionmentioning

confidence: 99%

Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Mowlaei¹,

Roman²,

Pleimling³

2014

J. Phys. A: Math. Theor.

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Abstract. In order to model real ecological systems one has to consider many species that interact in complex ways. However, most of the recent theoretical studies have been restricted to few species systems with rather trivial interactions. The few studies dealing with larger number of species and/or more complex interaction schemes are mostly restricted to numerical explorations. In this paper we determine, starting from the deterministic meanfield rate equations, for large classes of systems the space of coexistence fixed points at which biodiversity is maximal. For systems with a single coexistence fixed point we derive complex Ginzburg-Landau equations that allow to describe space-time pattern realized in two space dimensions. For selected cases we compare the theoretical predictions with the pattern observed in numerical simulations.

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Section: Introductionmentioning

confidence: 99%

Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Mowlaei¹,

Roman²,

Pleimling³

2014

J. Phys. A: Math. Theor.

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“…More recently, authors have computed the effect of the aether on the spectrum of primordial perturbations [3][4][5][6], with no direct coupling between the aether and the inflaton. A certain kind of aether-inflaton coupling has been considered in which the kinetic terms in the aether action are multiplied by functions of the scalar field [7,8]. In this model the effective gravitational constant depends on the inflaton, leading to the possibility of a repulsive phase that significantly changes the dynamics of inflation.…”

Section: Introductionmentioning

confidence: 99%

Coupling the inflaton to an expanding aether

Donnelly

Jacobson

2010

Phys. Rev. D

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We consider a Lorentz-violating theory of inflation consisting of Einstein-aether theory with a scalar inflaton coupled bilinearly to the expansion of the aether. We determine the conditions for linearized stability, positive energy, and vanishing of preferred-frame post-Newtonian parameters, and find that all these conditions can be met. In homogeneous and isotropic cosmology, the inflaton-aether expansion coupling leads to a driving force on the inflaton that is proportional to the Hubble parameter. This force affects the slow-roll dynamics, but still allows for a natural end to inflation.Comment: 13 pages. v2: matches PRD versio

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“…In particular, it would be interesting to analyse low temperature behaviours, and also extensions to LV models with boundaries. Potential applications, such as LV effects on cosmological problems [73][74][75][76][77], or in perturbative quantum field theory [78], would also be of great interest. Authors aim to pursue these further studies in future investigations.…”

Section: Discussionmentioning

confidence: 99%

The Lorentz-violating real scalar field at thermal equilibrium

et al. 2021

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In this paper we study Lorentz-violation (LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In particular, we analyse and compute explicitly the deviations of the internal energy, pressure, and entropy of the system at thermal equilibrium due to the LV contributions. For the free massless scalar field we obtain exact results, whereas for the massive case we perform approximated calculations. Finally, we consider the self interacting $$\phi ^4$$ ϕ 4 theory, and perform perturbative expansions in the coupling constant for obtaining relevant thermodynamics quantities.

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Impact of Lorentz violation on the dynamics of inflation

Cited by 15 publications

References 22 publications

Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Coupling the inflaton to an expanding aether

The Lorentz-violating real scalar field at thermal equilibrium

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