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In this paper, we present a new theoretical scenario in which both dynamical Dirac fermions and Einstein's gravity with a positive cosmological constant and torsion emerge via a spontaneous symmetry breaking in a topological phase. This…

High Energy Physics - Theory · Physics 2023-06-01 Giandomenico Palumbo

We consider an extension of the Ho\v{r}ava-Lifshitz gravity with extra conformal symmetry by introducing a scalar field with higher order curvature terms. Relaxing the exact local Weyl symmetry, we construct an action with three free…

High Energy Physics - Theory · Physics 2015-05-28 Taeyoon Moon , Phillial Oh , Mu-In Park

In this paper, we study the effects of high-order operators on the non-relativistic Lifshitz holography in the framework of the Ho\v{r}ava-Lifshitz (HL) theory of gravity, which naturally contains high-order operators in order for the…

High Energy Physics - Theory · Physics 2015-05-12 Xinwen Wang , Jie Yang , Miao Tian , Anzhong Wang , Yanbin Deng , Gerald Cleaver

We show that in the anisotropic Ho\v{r}ava-Lifshitz gravity there is a well-defined wave zone where the physical degrees of freedom propagate according to a non-relativistic linear evolution equation of high order in spatial derivatives,…

High Energy Physics - Theory · Physics 2022-01-05 Jarvin Mestra-Páez , Joselen Peña , Álvaro Restuccia

We study cosmological perturbations in Ho\v{r}ava-Lifshitz Gravity. We consider scalar metric fluctuations about a homogeneous and isotropic space-time. Starting from the most general metric, we work out the complete second order action for…

High Energy Physics - Theory · Physics 2010-04-14 Xian Gao , Yi Wang , R. Brandenberger , A. Riotto

The Ashtekar-Barbero-Immirzi formulation of General Relativity is extended to include spinor matter fields. Our formulation applies to generic values of the Immirzi parameter and reduces to the Ashtekar-Romano-Tate approach when the Immirzi…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Simone Mercuri

In a recent paper [Phys. Rev. D 92:084012, 2015], the author studied the classical $(1+1)$-dimensional Friedmann-Robertson-Walker (FRW) universe filled with a perfect fluid in Ho\v{r}ava-Lifshitz (HL) theory of gravity. This theory is…

General Relativity and Quantum Cosmology · Physics 2016-05-25 J. P. M. Pitelli

We use the Wetterich equation for foliated spacetimes to study the RG flow of projectable Horava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the…

General Relativity and Quantum Cosmology · Physics 2014-10-29 Giulio D'Odorico , Frank Saueressig , Marrit Schutten

Recently a renormalizable model of gravity has been proposed, which might be a UV completion of General Relativity (GR) or its infra-red modification, probably with a strongly coupled scalar mode. Although the generic vacuum of the theory…

High Energy Physics - Theory · Physics 2009-09-28 R. A. Konoplya

By introducing a specific etheric-like vector in the Dirac equation with Lorentz Invariance Violation (LIV) in the curved spacetime, an improved method for quantum tunneling radiation of fermions is proposed. As an example, we apply this…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Jie Zhang , Menquan Liu , Zhie Liu , Shuzheng Yang

We study the structure and basic physical properties of non-rotating dark energy stars in Ho$\Check{\text{r}}$ava-Lifshitz (HL) gravity. The interior of propsed stellar structure is made of isotropic matter obeys extended Chaplygin gas EoS.…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Krishna Pada Das , Ujjal Debnath

Recently it has been established that torsional Newton-Cartan (TNC) geometry is the appropriate geometrical framework to which non-relativistic field theories couple. We show that when these geometries are made dynamical they give rise to…

High Energy Physics - Theory · Physics 2015-09-02 Jelle Hartong , Niels A. Obers

We study the stability of the Einstein static universe in the Ho\v{r}ava-Lifshitz (HL) gravity and a generalized version of it formulated by Sotiriou, Visser and Weifurtner. We find that, for the HL cosmology, there exists a stable Einstein…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Puxun Wu , Hongwei Yu

We perform the Hamiltonian analysis of several mimetic gravity models and compare our results with those obtained previously by different authors. We verify that for healthy mimetic scalar-tensor theories the condition for the corresponding…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Alexander Ganz , Purnendu Karmakar , Sabino Matarrese , Dmitri Sorokin

Based on the assumptions of the standard model of cosmology, a phase transition associated with chiral symmetry breaking after the electroweak transition has occurred at approximately $10\mu$ seconds after the Big Bang to convert a plasma…

General Relativity and Quantum Cosmology · Physics 2015-06-19 F. Kheyri , M. Khodadi , H. R. Sepangi

We construct fermionic Lagrangians with anisotropic scaling z=2, the natural counterpart of the usual z=2 Lifshitz field theories for scalar fields. We analyze the issue of chiral symmetry, construct the Noether axial currents and discuss…

High Energy Physics - Theory · Physics 2013-05-30 H. Montani , F. A. Schaposnik

We investigate the properties of holographic fermions in charged Lifshitz black holes at finite temperature through the AdS/CFT correspondence. In the charged Lifshitz background with the dynamical exponent $z=2$, we find that the…

High Energy Physics - Theory · Physics 2012-11-22 Li Qing Fang , Xian-Hui Ge , Xiao-Mei Kuang

We argue that the cosmological constant is exponentially suppressed in a candidate ground state of loop quantum gravity as a nonperturbative effect of a holographic Fermi-liquid theory living on a two-dimensional spacetime. Ashtekar…

High Energy Physics - Theory · Physics 2009-02-23 Stephon H. S. Alexander , Gianluca Calcagni

We find exact static stringy solutions of Horava-Lifshitz gravity with the projectability condition but imposing the detailed balance condition near the UV fixed point, and propose a method on constraining the possible pattern of flows in…

High Energy Physics - Theory · Physics 2010-12-13 Taekyung Kim , Yoonbai Kim

It has been suggested by Groot Nibbelink and Pospelov that Lorentz invariance can be an emergent symmetry of low-energy physics provided the theory enjoys a non-relativistic version of supersymmetry. We construct a model that realizes the…

High Energy Physics - Theory · Physics 2015-05-30 Oriol Pujolas , Sergey Sibiryakov