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We discuss the algorithmic problem of minimal coupling gauge fields of the Yang-Mills type to Quantum Gravity in the approach known as Causal Dynamical Triangulations (CDT) as a step towards studying, ultimately, systems of gravity coupled…

High Energy Physics - Lattice · Physics 2021-12-08 Alessandro Candido , Giuseppe Clemente , Massimo D'Elia , Federico Rottoli

We investigate 2d gravity quantized in the ADM formulation, where only the loop length $l(z)$ is retained as a dynamical variable of the gravitation, in order to get an intuitive physical insight of the theory. The effective action of…

High Energy Physics - Theory · Physics 2011-09-09 Kazuo Ghoroku , Kazunari Kaneko

Abtract: 2-dimensional fermions are coupled to extrinsic geometry of a conformally immersed surface in ${\bf R}^3$ through gauge coupling. By integrating out the fermions, we obtain a WZNW action involving extrinsic curvature of the…

High Energy Physics - Theory · Physics 2007-05-23 K. S. Viswanathan , R. Parthasarathy

General relativity is a deterministic theory with non-fixed causal structure. Quantum theory is a probabilistic theory with fixed causal structure. In this paper we build a framework for probabilistic theories with non-fixed causal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lucien Hardy

The weak gravity conjecture states that quantum gravity theories have to contain a charged state with a charge-to-mass ratio bigger than unity. By studying unitarity and causality constraints on higher derivative corrections to the…

High Energy Physics - Theory · Physics 2019-08-07 Yuta Hamada , Toshifumi Noumi , Gary Shiu

We couple twisted non-compact N=(2,2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove…

High Energy Physics - Theory · Physics 2019-02-20 Songyuan Li , Jan Troost

I discuss some issues of perturbative quantum gravity, namely of a theory of self-interacting massless spin-2 quantum gauge fields, the gravitons, on flat space-time, in the framework of causal perturbation theory. The central aspects of…

High Energy Physics - Theory · Physics 2007-05-23 Nicola Grillo

A canonical quantization for two dimensional gravity models, including a dilaton gravity model, is performed in a way suitable for the light-cone gauge. We extend the theory developed by Abdalla {\it et.al.}\cite{AM} and obtain the…

High Energy Physics - Theory · Physics 2007-05-23 Taku Uchino

In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilaton. Using methods developed in the context of flat space…

High Energy Physics - Theory · Physics 2007-05-23 H. Nicolai , D. Korotkin , H. Samtleben

We develop a perturbation theory of four-dimensional topological 2-form gravity without cosmological constant. A 2-form and an $SU(2)$ connection 1-form are used as fundamental variables instead of metric. There is no quantum correction…

High Energy Physics - Theory · Physics 2007-05-23 Tomoyuki Inui , Akika Nakamichi

The strong coupling physics of two dimensional gravity at C=7, 13, 19 is deciphered, by building up on previous works along the same line (for a recent review, of the background material, see hep-th/9408069). It is shown that chirality…

High Energy Physics - Theory · Physics 2009-10-28 Jean-Loup Gervais , Jean-François Roussel

The method of a conformal transformation is applied to a general class of single field inflation models with non-minimal coupling to gravity and non-standard kinetic terms, in order to reduce the cosmological perturbative calculation to the…

General Relativity and Quantum Cosmology · Physics 2012-03-19 Takahiro Kubota , Nobuhiko Misumi , Wade Naylor , Naoya Okuda

We study 4d simplicial quantum gravity in the dynamical triangulation approach with a non-trivial class of measures. We find that the measure contribution plays an important role, influencing the phase diagram and the nature of the…

High Energy Physics - Lattice · Physics 2008-11-26 Bernd Bruegmann , E. Marinari

We show how to formulate a lattice gauge theory whose naive continuum limit corresponds to two-dimensional (Euclidean) quantum gravity including a positive cosmological constant. More precisely the resultant continuum theory corresponds to…

High Energy Physics - Lattice · Physics 2020-09-23 Muhammad Asaduzzaman , Simon Catterall , Judah Unmuth-Yockey

A classical evolution in chaotic inflationary models starts at high energy densities with semi-classical initial conditions presumably consistent with universal quantum nature of all the fundamental forces. That is each quantum contributes…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Dmitry Gorbunov , Alexander Panin

The central topic of this thesis is two dimensional Quantum Gravity and its properties. The term Quantum Gravity itself is ambiguous as there are many proposals for its correct formulation and none of them have been verified experimentally.…

High Energy Physics - Theory · Physics 2011-12-01 Max R. Atkin

We study scaling and renormalization in two dimensional quantum gravity in a covariant framework. After reviewing the definition of a proper path integral measure, we use scaling arguments to rederive the KPZ relations, the fractal…

General Relativity and Quantum Cosmology · Physics 2015-07-22 Alessandro Codello , Giulio D'Odorico

We consider higher derivative corrections to the graviton three-point coupling within a weakly coupled theory of gravity. Lorentz invariance allows further structures beyond the one present in the Einstein theory. We argue that these are…

High Energy Physics - Theory · Physics 2017-03-22 Xian O. Camanho , Jose D. Edelstein , Juan Maldacena , Alexander Zhiboedov

Well known weakness of Gravity in particle physics is an illusion caused by underestimation of the role of spin in gravity. Relativistic rotation is inseparable from spin, which for elementary particles is extremely high and exceeds mass on…

General Physics · Physics 2017-10-25 Alexander Burinskii

In an extension of earlier work we investigate the behaviour of two-dimensional Lorentzian quantum gravity under coupling to a conformal field theory with c>1. This is done by analyzing numerically a system of eight Ising models…

High Energy Physics - Lattice · Physics 2009-10-31 J. Ambjorn , K. N. Anagnostopoulos , R. Loll
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