Scale-invariant quadratic gravity and inflation in the Palatini formalism

被引：47

作者：

Gialamas, Ioannis D. ^{[1
]}

Karam, Alexandros ^{[2
]}

Pappas, Thomas D. ^{[3
]}

Spanos, Vassilis C. ^{[1
]}

机构：

[1] Natl & Kapodistrian Univ Athens, Dept Phys, Sect Nucl & Particle Phys, GR-15784 Athens, Greece

[2] NICPB, Lab High Energy & Computat Phys, Ravala Pst 10, EE-10143 Tallinn, Estonia

[3] Silesian Univ Opava, Res Ctr Theoret Phys & Astrophys, Inst Phys, Bezrucovo 13, CZ-74601 Opava, Czech Republic

来源：

PHYSICAL REVIEW D | 2021年 / 104卷 / 02期

关键词：

DARK-MATTER; SYMMETRY-BREAKING; HIGGS; FLATNESS; UNIVERSE; HORIZON; MODELS;

D O I：

10.1103/PhysRevD.104.023521

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In the framework of classical scale invariance, we consider quadratic gravity in the Palatini formalism and investigate the inflationary predictions of the theory. Our model corresponds to a two-field scalar-tensor theory, which involves the Higgs field and an extra scalar field stemming from a gauge U(1)(X) extension of the Standard Model, which contains an extra gauge boson and three right-handed neutrinos. Both scalar fields couple nonminimally to gravity and induce the Planck scale dynamically, once they develop vacuum expectation values. By means of the Gildener-Weinberg approach, we describe the inflationary dynamics in terms of a single scalar degree of freedom along the flat direction of the tree-level potential. The one-loop effective potential in the Einstein frame exhibits plateaus on both sides of the minimum and thus the model can accommodate both small and large field inflation. The inflationary predictions of the model are found to comply with the latest bounds set by the Planck collaboration for a wide range of parameters and the effect of the quadratic in curvature terms is to reduce the value of the tensor-to-scalar ratio.

引用

页数：20

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