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We consider gravitational perturbation around maximally symmetric background of a theory of gravity involving quadratic curvature correction. This leads to a decoupled model of the standard transverse, traceless graviton mode and an…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Sumanta Chakraborty , Subir Ghosh

Quantum gravity (QG) has a natural cutoff given by the Planck scale $M_{\rm pl}$. However, it is known that the EFT of gravity can break down at a lower scale, the species scale $\Lambda_s\lesssim M_{\rm pl}$, if there are light species of…

High Energy Physics - Theory · Physics 2024-08-14 Alek Bedroya , Cumrun Vafa , David H. Wu

We study the general class of gravitational field theories constructed on the basis of scale invariance (and therefore absence of any mass parameters) and invariance under transverse diffeomorphisms (TDiff), which are the 4-volume…

High Energy Physics - Theory · Physics 2011-08-12 Diego Blas , Mikhail Shaposhnikov , Daniel Zenhausern

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Statistical Mechanics · Physics 2007-05-23 R. S. Ellis , P. Otto , H. Touchette

As a first step towards a nonperturbative investigation of the gauge-fixing (Rome) approach to lattice chiral gauge theories we study a U(1) model with an action that includes a local gauge-fixing term and a mass counterterm for the gauge…

High Energy Physics - Lattice · Physics 2009-10-30 Wolfgang Bock , Maarten Golterman , Yigal Shamir

A link between canonical quantum gravity and fermionic quantum field theory is established in this paper. From a spectral triple construction which encodes the kinematics of quantum gravity semi-classical states are constructed which, in a…

High Energy Physics - Theory · Physics 2011-05-03 Johannes Aastrup , Jesper M. Grimstrup

We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , R. Loll

Unlike the fundamental forces of the Standard Model the quantum effects of gravity are still experimentally inaccessible. Rather surprisingly quantum aspects of gravity, such as massive gravitons, can emerge in experiments with fractional…

Quantum Physics · Physics 2023-03-22 Patricio Salgado-Rebolledo , Jiannis K. Pachos

In this lecture, we review the experimental situation of heavy Fermions with emphasis on the existence of a quantum phase transition (QPT) and related non-Fermi liquid (NFL) effects. We overview the Kondo lattice model (KLM) which is…

Strongly Correlated Electrons · Physics 2009-09-25 Mireille Lavagna , Catherine Pepin

We study phase transitions driven by fermionic double-trace deformations in gauge-gravity duality. Both the strength of the double trace deformation and the infrared conformal dimension/self-energy scaling of the quasiparticle can be used…

High Energy Physics - Theory · Physics 2015-11-04 E. Gubankova , M. Cubrovic , J. Zaanen

A grand canonical system of non-interacting fermions on a square lattice is considered at zero temperature. Three different phases exist: an empty lattice, a completely filled lattice and a liquid phase which interpolates between the other…

Condensed Matter · Physics 2015-06-25 M. Hettler , K. Ziegler

A quantum gravity theory which becomes renormalizable at short distances due to a spontaneous symmetry breaking of Lorentz invariance and diffeomorphism invariance is studied. A breaking of Lorentz invariance with the breaking patterns…

High Energy Physics - Theory · Physics 2010-05-25 J. W. Moffat

We explore the nature of the quantum phase transition between a magnetically ordered state with collinear spin pattern and a gapless $Z_2$ spin liquid in the Heisenberg-Kitaev model. We construct a slave particle mean field theory for the…

Strongly Correlated Electrons · Physics 2013-05-30 Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

We analyze the phase space of gravity non-minimally coupled to a scalar field in a generic local Lorentz frame. We reduce the set of constraints to a first-class one by fixing a specific hypersurfaces in the phase space. The main issue of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 F. Cianfrani , G. Montani

Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the…

Strongly Correlated Electrons · Physics 2023-04-18 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M. Novello

We investigate the ground-state properties of a disorderd Ising model with uniform transverse field on the Bethe lattice, focusing on the quantum phase transition from a paramagnetic to a glassy phase that is induced by reducing the…

Quantum Physics · Physics 2017-02-09 Gianni Mossi , Tommaso Parolini , Sebastiano Pilati , Antonello Scardicchio

We study the quatum to classical transition process in the context of quantum field theory. Extending the influence functional formalism of Feynman and Vernon, we study the decoherence process for self-interacting quantum fields in flat…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Fernando C. Lombardo

In mean-field-theory bilayer graphene's massive Dirac fermion model has a family of broken inversion symmetry ground states with charge gaps and flavor dependent spontaneous inter layer charge transfers. We use a lattice Hartree-Fock model…

Mesoscale and Nanoscale Physics · Physics 2011-04-22 Jeil Jung , Fan Zhang , Allan H. MacDonald

In the new framework of gravitational quantum field theory (GQFT) with spin and scaling gauge invariance developed in Phys. Rev. D\textbf{93} (2016) 024012-1~\cite{Wu:2015wwa}, we make a perturbative expansion for the full action in a…

General Physics · Physics 2018-09-11 Yue-Liang Wu , Rui Zhang
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