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The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general relativity. The Fock space of graviton states and its…

High Energy Physics - Theory · Physics 2010-11-01 Abhay Ashtekar , Carlo Rovelli , Lee Smolin

Corrections to the semiclassical approximation in nearly forward Planckian energy collisions are here reconsidered. Starting from the one-loop superstring amplitude, we are able to disentangle the first subleading high-energy contribution…

High Energy Physics - Theory · Physics 2009-10-22 A. Bellini , M. Ademollo , M. Ciafaloni

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables $\tau$ at subleading power in the $\tau\ll 1$ expansion. These…

High Energy Physics - Phenomenology · Physics 2019-05-22 Ian Moult , Iain W. Stewart , Gherardo Vita , Hua Xing Zhu

We study a new two-dimensional quantum gravity theory, based on a gravitational action containing both the familiar Liouville term and the Mabuchi functional, which has been shown to be related to the coupling of non-conformal matter to…

High Energy Physics - Theory · Physics 2014-10-27 Adel Bilal , Frank Ferrari , Semyon Klevtsov

The integrability of $R^2$-gravity with torsion in two dimensions is traced to an ultralocal dynamical symmetry of constraints and momenta in Hamiltonian phase space. It may be interpreted as a quadratically deformed $iso(2,1)$-algebra with…

High Energy Physics - Theory · Physics 2011-07-19 H. Grosse , W. Kummer , P. Prešnajder , D. J. Schwarz

We calculate the inelastic $2\to3$ one-loop amplitude for the scattering of two point-like, spinless objects with generic masses involving the additional emission of a single graviton. We focus on the near-forward, or classical, limit. Our…

High Energy Physics - Theory · Physics 2023-12-27 Alessandro Georgoudis , Carlo Heissenberg , Ingrid Vazquez-Holm

We propose a four-point effective action for the graviton, antisymmetric two-forms, dilaton and axion of type IIB superstring in ten dimensions. It is explicitly SL(2,Z)-invariant and reproduces the known tree-level results. Perturbatively,…

High Energy Physics - Theory · Physics 2008-11-26 A. Kehagias , H. Partouche

Strictly respecting the Einstein equations and supposing space-time is a medium, we derive the deformation of this medium by gravity. We derive the deformation in case of infinite plane, Robertson-Walker manifold, Schwarzschild manifold and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miroslav Pardy

The set of double-logarithmic (DL) contributions $(\alpha \, t \ln^2 {s})^n$ to the 4-graviton amplitude in ${\cal N}$$=$ 8 supergravity (SUGRA), with $\alpha$ being the gravitational coupling and $(s,t)$ the Mandelstam invariants, is…

High Energy Physics - Theory · Physics 2019-07-04 Agustín Sabio Vera

We study the growth of structures in modified gravity models where the Poisson equation and the relationship between the two Newtonian potentials are modified by explicit functions of space and time. This parameterisation applies to the…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-24 Philippe Brax , Patrick Valageas

We study the one loop renormalization in the most general metric-dilaton theory with second derivative only. In constant background dilaton theory, there are two types of gravity background which enable the theory renormalizable at one-loop…

High Energy Physics - Theory · Physics 2010-11-19 Seiji Mukaigawa , Hiroyuki Takata

We study a renormalizable, general theory of dilatonic gravity (with a kinetic-like term for the dilaton) interacting with scalar matter near two dimensions. The one-loop effective action and the beta functions for this general theory are…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

At the critical point, the probability density function of the Ising magnetization is believed to decay like $\exp{(-x^{\delta+1})}$, where $\delta$ is the Ising critical exponent that controls the decay to zero of the magnetization in a…

Statistical Mechanics · Physics 2025-08-25 Federico Camia , Omar El Dakkak , Giovanni Peccati

We propose a new inverse seesaw model based on hidden local $U(1)$ symmetry framework where inverse seesaw mechanism is induced at one loop level. A Majorana mass term of singlet fermion is forbidden by the $U(1)$ symmetry and it is…

High Energy Physics - Phenomenology · Physics 2025-12-09 Takaaki Nomura , Hiroshi Okada

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a…

High Energy Physics - Theory · Physics 2009-10-30 H. W. Hamber , S. Liu

The anomalous magnetic moment of a lepton encodes the fraction of the lepton's interaction strength with an external magnetic field, which is generated by quantum corrections. Lepton anomalous magnetic moments are sensitive probes of…

High Energy Physics - Phenomenology · Physics 2026-05-05 Hartmut Wittig

We present a closed formula for the computation of static post-Newtonian corrections to the two-body gravitational dynamics at any odd order, assuming the lower-order results are known. The formula is derived within a correlation function…

High Energy Physics - Theory · Physics 2026-04-16 Giacomo Brunello , Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Matteo Pegorin , Sid Smith , Jan Steinhoff

Applying functional renormalization group methods, we describe two inequivalent ways of defining the renormalization group of matter-coupled four dimensional gravity, in the approximation where only the conformal factor is dynamical and…

High Energy Physics - Theory · Physics 2011-04-14 P. F. Machado , R. Percacci

Interest has focussed recently on low energy implications of a nontrivial scale invariant sector of an effective field theory with an IR fixed point, manifest in terms of ``unparticles'' with peculiar properties. If unparticle stuff exists…

High Energy Physics - Phenomenology · Physics 2008-12-30 Haim Goldberg , Pran Nath
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