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We introduce a new basis for the gauge-invariant Hilbert space of lattice gauge theory and loop quantum gravity in $(2+1)$ dimensions, the fusion basis. In doing so, we shift the focus from the original lattice (or spin-network) structure…

High Energy Physics - Theory · Physics 2017-05-18 Clement Delcamp , Bianca Dittrich , Aldo Riello

Using the Cartan formulation of General Relativity, we construct a well defined lattice-regularized theory capable to describe large non-perturbative quantum fluctuations of the frame field (or the metric) and of the spin connection. To…

High Energy Physics - Theory · Physics 2011-09-02 Dmitri Diakonov

In a remarkable paper, T. Koslowski introduced kinematical representations for loop quantum gravity in which there is a non-degenerate spatial background metric present. He also considered their properties, and showed that Gauss and…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Hanno Sahlmann

We continue developing the freelance holography program, formulating gauge/gravity correspondence where the gravity side is formulated on a space bounded by a generic timelike codimension-one surface inside AdS and arbitrary boundary…

High Energy Physics - Theory · Physics 2025-11-05 A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo

Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background independence also…

General Relativity and Quantum Cosmology · Physics 2012-03-12 Ghanashyam Date , Golam Mortuza Hossain

We study a class of theories in which space-time is treated classically, while interacting with quantum fields. These circumvent various no-go theorems and the pathologies of semi-classical gravity, by being linear in the density matrix and…

High Energy Physics - Theory · Physics 2022-02-15 Jonathan Oppenheim , Zachary Weller-Davies

In canonical quantum gravity, when space is a compact manifold with boundary there is a Hamiltonian given by an integral over the boundary. Here we compute the action of this `boundary Hamiltonian' on observables corresponding to open…

General Relativity and Quantum Cosmology · Physics 2009-10-28 John Baez , Javier P. Muniain , Dardo Piriz

We study the classical field theoretical formulation of static generic isolated horizons in a manifestly SU(2) invariant formulation. We show that the usual classical description requires revision in the non-static case due to the breaking…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Alejandro Perez , Daniele Pranzetti

We present a new derivation of gravitational entropy functionals in higher-curvature theories of gravity using corner terms that are needed to ensure well-posedness of the variational principle in the presence of corners. This is…

High Energy Physics - Theory · Physics 2024-06-18 Jani Kastikainen , Andrew Svesko

We argue that String Theory and Loop Quantum Gravity can be thought of as describing different regimes of a single unified theory of quantum gravity. LQG can be thought of as providing the pre-geometric exoskeleton out of which macroscopic…

General Relativity and Quantum Cosmology · Physics 2018-01-09 Deepak Vaid

We perform canonical quantization of gravity in the background of a Schwarzschild black hole in the generalized Regge-Wheeler gauge proposed in \cite{Kallosh:2021ors}. We find that the Hamiltonian at the quadratic level is unitary and…

High Energy Physics - Theory · Physics 2021-11-03 Renata Kallosh

We construct a quadratic curvature theory of gravity whose graviton propagator around the Minkowski background respects wordline inversion symmetry, the particle approximation to modular invariance in string theory. This symmetry…

High Energy Physics - Theory · Physics 2020-01-29 Steven Abel , Luca Buoninfante , Anupam Mazumdar

The formula for the area eigenvalues that was obtained by many authors within the approach known as loop quantum gravity states that each edge of a spin network contributes an area proportional to sqrt{j(j+1)} times Planck length squared to…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Kirill Krasnov

To formulate gravity in spacetimes bounded by a null boundary, an arbitrary hypothetical null surface, boundary degrees of freedom (d.o.f) should be added to account for the d.o.f and dynamics in the spacetime regions excised behind the…

General Relativity and Quantum Cosmology · Physics 2022-11-16 M. M. Sheikh-Jabbari

The gauge approach to gravity based on the local Lorentz group with a general independent affine connection A_{\mu cd} is developed. We consider SO(1,3) gauge theory with a Lagrangian quadratic in curvature as a simple model of quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sang-Woo Kim , D. G. Pak

A covariant spin-foam formulation of quantum gravity has been recently developed, characterized by a kinematics which appears to match well the one of canonical loop quantum gravity. In this paper we reconsider the implementation of the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 You Ding , Carlo Rovelli

A novel continuum theory of two-dimensional quantum gravity, based on a version of Causal Dynamical Triangulations which incorporates topology change, has recently been formulated as a genuine string field theory in zero-dimensional target…

High Energy Physics - Theory · Physics 2008-11-26 J. Ambjorn , R. Loll , Y. Watabiki , W. Westra , S. Zohren

We introduce a new two-dimensional string theory defined by coupling two copies of Liouville CFT with complex central charge $c=13\pm i \lambda$ on the worldsheet. This string theory defines a novel, consistent and controllable model of…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein…

High Energy Physics - Theory · Physics 2020-10-20 Gustav Uhre Jakobsen

We propose a new type of gauge in two-dimensional quantum gravity. We investigate pure gravity in this gauge, and find that the system reduces to quantum mechanics of loop length $l$. Furthermore, we rederive the $c\!=\!0$ string field…

High Energy Physics - Theory · Physics 2009-10-22 M. Fukuma , N. Ishibashi , H. Kawai , M. Ninomiya