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Related papers: One-loop $N$-point correlators in pure gravity

200 papers

We take a major step towards computing $D$-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For $n$-point amplitudes with either supersymmetry…

High Energy Physics - Theory · Physics 2023-02-20 Alex Edison , Song He , Henrik Johansson , Oliver Schlotterer , Fei Teng , Yong Zhang

In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar $\mathcal{N}=4$ super Yang-Mills. Beginning with four lines in twistor space, we characterize a…

High Energy Physics - Theory · Physics 2024-10-03 Song He , Yu-tin Huang , Chia-Kai Kuo

A nonlocal quantum gravity theory is presented which is finite and unitary to all orders of perturbation theory. Vertex form factors in Feynman diagrams involving gravitons suppress graviton and matter vacuum fluctuation loops by…

High Energy Physics - Theory · Physics 2007-05-23 J. W. Moffat

We present a semi-recursive method for calculating the rational parts of one-loop amplitudes when recursion produces double poles. We illustrate this with the graviton scattering amplitude M^{1-loop}(1-, 2+, 3+, 4+, 5+).

High Energy Physics - Theory · Physics 2010-12-13 David C. Dunbar , James H. Ettle , Warren B. Perkins

The decomposition of a one-loop scattering amplitude into elementary functions with rational coefficients introduces spurious singularities which afflict individual coefficients but cancel in the complete amplitude. These cancellations…

High Energy Physics - Theory · Physics 2013-05-29 David C. Dunbar , James H. Ettle , Warren B. Perkins

We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in $(2,0)$ supergravity on $AdS_3 \times S^3$, with two operators in tensor…

High Energy Physics - Theory · Physics 2021-08-04 Congkao Wen , Shun-Qing Zhang

This paper establishes the relation between traditional results from (euclidean) twistor theory and chiral formulations of General Relativity (GR), especially the pure connection formulation. Starting from a $SU(2)$-connection only we show…

High Energy Physics - Theory · Physics 2018-01-17 Yannick Herfray

We compute one-loop correlation functions for the fluctuations of an interface using a field theory model. We obtain them from Feynman diagrams drawn with a propagator which is the inverse of the Hamiltonian of a Poschl-Teller problem. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Bessa , C. A. A. de Carvalho , E. S. Fraga

We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the…

High Energy Physics - Theory · Physics 2021-02-24 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

We construct the six-point NMHV one-loop amplitude in ${\cal N}=4$ supergravity using unitarity and recursion. The use of recursion requires the introduction of rational descendants of the cut-constructible pieces of the amplitude and the…

High Energy Physics - Theory · Physics 2017-01-04 David C. Dunbar , Warren B. Perkins

We give a review of the one-loop divergences in higher derivative gravity theories. We first make the bilinear expansion in the quantum fluctuation on arbitrary backgrounds, introduce a higher-derivative gauge fixing and show that…

High Energy Physics - Theory · Physics 2023-09-26 Nobuyoshi Ohta

We present in detail the procedure for calculating the heterotic one-loop effective action. We focus on gravitational and gauge couplings. We show that the two-derivative couplings of the gravitational sector are not renormalized at one…

High Energy Physics - Theory · Physics 2008-02-03 E. Kiritsis , C. Kounnas , M. Petropoulos , J. Rizos

We initiate the calculation of loop corrections to correlation functions in 4D defect CFTs. More precisely, we consider N=4 SYM with a codimension-one defect separating two regions of space, x_3>0 and x_3<0, where the gauge group is SU(N)…

High Energy Physics - Theory · Physics 2016-12-20 Isak Buhl-Mortensen , Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

We compute the one loop corrections from quantum gravity to the self-mass-squared of a massless, minimally coupled scalar on a locally de Sitter background. The calculation was done using dimensional regularization and renormalized by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , R. P. Woodard

We compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of…

High Energy Physics - Theory · Physics 2013-11-13 Claudia de Rham , Lavinia Heisenberg , Raquel H. Ribeiro

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

It is commonly accepted that general relativity is the only solution to the consistency problem that appears when trying to build a theory of interacting gravitons (massless spin-2 particles). Padmanabhan's 2008 thought-provoking analysis…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

For unimodular gravity, we work out, by using dimensional regularization, the complete one-loop correction to the graviton propagator in any space-time dimension. The computation is carried out within the framework where unimodular gravity…

High Energy Physics - Theory · Physics 2023-06-30 Jesus Anero , Carmelo P. Martin , Eduardo Velasco-Aja

A numerical program is presented which facilitates the computation of the full set of one-gluon loop diagrams (including ghost loop contributions), with M attached external gluon lines in all possible ways. The feasibility of such a task…

High Energy Physics - Theory · Physics 2007-05-23 A. S. Kapoyannis , A. I. Karanikas , C. N. Ktorides

We present an ansatz for all one-loop amplitudes in pure Einstein gravity for which the n external gravitons have the same outgoing helicity. These loop amplitudes, which are rational functions of the momenta, also arise in the quantization…

High Energy Physics - Theory · Physics 2010-11-15 Z. Bern , L. Dixon , M. Perelstein , J. S. Rozowsky