Noether symmetry analysis in scalar tensor cosmology: a study of classical and quantum cosmology

IF 4.2 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2023-08-07 DOI:10.1140/epjc/s10052-023-11875-3

Dipankar Laya, Roshni Bhaumik, Subenoy Chakraborty

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Abstract

The present work deals with a complex scalar field in scalar tensor gravity theory in the background of spatially flat Friedmann–Lema\({\hat{i}}\)tre–Robertson–Walker (FLRW) geometry. Noether symmetry analysis has been used to determine the classical cosmological solution of a scalar field in scalar–tensor theory with the scalar field as a nonminimally coupled complex field. Noether symmetry analysis is not only used to find a symmetry vector and potential but also it helps in finding an appropriate transformation \((a,~\phi ,~\theta )\rightarrow (u,~v,~\theta )\) in the augmented space so that one of the new variables becomes cyclic. In quantum cosmology, the Wheeler–DeWitt (WD) equation has been formed in the minisuperspace and its solution i.e. the wave function of the universe has been evaluated by using the operator version of the conserved (Noether) charge. Finally, the nature of the classical solution has been discussed from the observational point of view and the cosmological singularity has been examined both classically and quantum mechanically.

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标量张量宇宙学中的诺特对称分析:经典宇宙学与量子宇宙学的研究

本文在空间平坦的friedman - lema \({\hat{i}}\)三-罗伯逊-沃克(FLRW)几何背景下，研究了标量张量引力理论中的复标量场。在标量-张量理论中，将标量场作为非最小耦合复场，利用诺特对称分析确定了标量场的经典宇宙学解。诺特对称分析不仅用于寻找对称向量和势，而且还有助于在增广空间中找到合适的变换\((a,~\phi ,~\theta )\rightarrow (u,~v,~\theta )\)，从而使其中一个新变量变为循环。在量子宇宙学中，我们在超小空间中建立了惠勒-德维特(WD)方程，并利用守恒(诺特)电荷的算符版本计算了它的解，即宇宙的波函数。最后，从观测的角度讨论了经典解的性质，并对宇宙奇点进行了经典和量子力学的检验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.