Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Franchino-Viñas, S. A.; Mignemi, Salvatore

doi:10.1140/epjc/s10052-020-7918-6

Cited by 27 publications

(19 citation statements)

References 38 publications

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“…That is to say, our result in this work neither agrees with Lake et al [16] nor with Park [11] (also not with the anti-Snyder-de Sitter model of Mignemi [17,18]). In fact, there are at least three distinct possibilities:…”

Section: The Sign Of Extended Uncertainty Principle Parametercontrasting

confidence: 98%

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Ong

2020

Eur. Phys. J. C

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The rate of Schwinger pair production due to an external electric field can be derived heuristically from the uncertainty principle. In the presence of a cosmological constant, it has been argued in the literature that the uncertainty principle receives a correction due to the background curvature, which is known as the “extended uncertainty principle” (EUP). We show that EUP does indeed lead to the correct result for Schwinger pair production rate in anti-de Sitter spacetime (the case for de Sitter spacetime is similar), provided that the EUP correction term is negative (positive for the de Sitter case). We compare the results with previous works in the EUP literature, which are not all consistent. Our result further highlights an important issue in the literature of generalizations of the uncertainty principle: how much can heuristic derivations be trusted?

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Section: The Sign Of Extended Uncertainty Principle Parametercontrasting

confidence: 98%

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Ong

2020

Eur. Phys. J. C

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“…[59][60][61][62] suggesting larger H 0 values in the light of observational analyses when the Brans-Dicke theory or its extensions are considered. There is a wide range of examples, related to these three possibilities, that exist (i) in theories in which relaxes from a large initial value via an adjustment mechanism [63][64][65], (ii) in the models in which itself spontaneously switches sign [42,66], (iii) in cosmological models based on Gauss-Bonnet gravity [67], (iv) in braneworld models [68,69], (v) in loop quantum cosmology [70,71], (vi) in higher-dimensional cosmologies that accommodate dynamical reduction of the internal space [72][73][74][75], (vii) in generalisations of the form of the matter Lagrangian in a non-linear way [76][77][78], (viii) in some constructions within the unimodular gravity violating the local energy-momentum conservation law [44].…”

Section: Introductionmentioning

confidence: 99%

Rastall gravity extension of the standard $$\Lambda $$CDM model: theoretical features and observational constraints

et al. 2020

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We present a detailed investigation of the Rastall gravity extension of the standard $$\Lambda $$ Λ CDM model. We review the model for two simultaneous modifications of different nature in the Friedmann equation due to the Rastall gravity: the new contributions of the material (actual) sources (considered as effective source) and the altered evolution of the material sources. We discuss the role/behavior of these modifications with regard to some low redshift tensions, including the so-called $$H_0$$ H 0 tension, prevailing within the standard $$\Lambda $$ Λ CDM. We constrain the model at the level of linear perturbations, and obtain the first constraints through a robust and accurate analysis using the latest full Planck cosmic microwave background (CMB) data, with and without including baryon acoustic oscillations (BAO) data. We find that the Rastall parameter $$\epsilon $$ ϵ (null for general relativity) is consistent with zero at 68% CL (with a tendency towards positive values, $$-0.0001< \epsilon < 0.0007$$ - 0.0001 < ϵ < 0.0007 (CMB+BAO) at 68% CL), which in turn implies no significant statistical evidence for deviation from general relativity, and also a precision of $$\mathcal {O}(10^{-4})$$ O ( 10 - 4 ) for the coefficient $$-1/2$$ - 1 / 2 of the term $$g_{\mu \nu }R$$ g μ ν R in the Einstein field equations of general relativity (guaranteeing the local energy-momentum conservation). We explore the consequences led by the Rastall gravity on the cosmological parameters in the light of the observational analyses. It turns out that the effective source, with a present-day density parameter $$\Omega _\mathrm{X0}=-0.0010\pm 0.0013$$ Ω X 0 = - 0.0010 ± 0.0013 (CMB+BAO, 68% CL), dynamically screens the usual vacuum energy at high redshifts, but this mechanism barely works due to the opposition by the altered evolution of cold dark matter. Consequently, two simultaneous modifications of different nature in the Friedmann equation by the Rastall gravity act against each other, and do not help to considerably relax the low redshift tensions, including the so-called $$H_0$$ H 0 tension. Our results may offer a guide for the research community that studies the Rastall gravity in various aspects of gravitation and cosmology.

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“…The SdS phase space can be realized in 6-dimensional space as SO (1, 5 [25]. Recently, many authors have condensed their studies on the discussions over the deformed canonical commutation relations [25][26][27][28][29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Graphene in curved Snyder space

Hamil

Aounallah

Lütfüoğlu

2020

Zeitschrift Für Naturforschung A

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The Snyder-de Sitter (SdS) model which is invariant under the action of the de Sitter group, is an example of a noncommutative space-time with three fundamental scales. In this paper, we considered the massless Dirac fermions in graphene layer in a curved Snyder space-time which are subjected to an external magnetic field. We employed representation in the momentum space to derive the energy eigenvalues and the eigenfunctions of the system. Then, we used the deduced energy function obtaining the internal energy, heat capacity, and entropy functions. We investigated the role of the fundamental scales on these thermal quantities of the graphene layer. We found that the effect of the SdS model on the thermodynamic properties is significant.

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Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Cited by 27 publications

References 38 publications

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Rastall gravity extension of the standard $$\Lambda $$CDM model: theoretical features and observational constraints

Graphene in curved Snyder space

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