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We consider the unitarity of the S-matrix for linearized General Relativity coupled to particle physics models. Taking renormalization group effects of the Planck mass into account, we find that the scale at which unitarity is violated is…

High Energy Physics - Theory · Physics 2011-01-27 Michael Atkins , Xavier Calmet

We propose a generalization of Yang-Mills theory for which the symmetry algebra does not have to be factorized as mutually commuting algebras of a finite-dimensional Lie algebra and the algebra of functions on base space. The algebra of…

High Energy Physics - Theory · Physics 2016-03-02 Pei-Ming Ho

In 3+1 space-time dimensions, fourth order derivative gravity is perturbatively renormalizable. Here it is shown that it describes a unitary theory of gravitons (with/without an additional scalar) in a limited coupling parameter space which…

High Energy Physics - Theory · Physics 2015-06-11 Gaurav Narain , Ramesh Anishetty

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

We demonstrate a concise method to enumerate the number of generalized polarizabilities---quantities characterizing the independent observables in singly-virtual Compton scattering---for a target particle of arbitrary spin s. By using…

High Energy Physics - Phenomenology · Physics 2009-11-07 Richard F. Lebed

The traditional perturbative method is applied to the case of gravitational lensing of planetary systems. A complete and detailed description of the structure of caustics for a system with an arbitrary number of planets can be obtained. I…

Astrophysics · Physics 2011-05-23 V. Bozza

We present a finite-element approach for computing the aggregate scattering matrix of a network of linear coherent scatterers. These might be optical scatterers or more general scattering coins studied in quantum walk theory. While…

We present an effective unified theory based on noncommutative geometry for the standard model with neutrino mixing, minimally coupled to gravity. The unification is based on the symplectic unitary group in Hilbert space and on the spectral…

High Energy Physics - Theory · Physics 2019-08-20 Ali H. Chamseddine , Alain Connes , Matilde Marcolli

We compute the lowest order gravitational UV divergent radiative corrections to the S matrix element of the $fermion + fermion\rightarrow fermion + fermion$ scattering process in the massive Yukawa theory, coupled either to Unimodular…

High Energy Physics - Theory · Physics 2018-04-18 Sergio Gonzalez-Martin , Carmelo P. Martin

We investigate the worldline quantum field theory (WQFT) formalism for scalar-QED and observe that a generating function emerges from WQFT, from which the scattering angle ensues. This generating function bears important similarities with…

High Energy Physics - Theory · Physics 2023-04-14 Tianheng Wang

We present a Bayesian data analysis pipeline for testing GR using gravitational wave signals from coalescing compact binaries, and in particular binary neutron stars. In this study, we investigate its performance when sources with spins are…

General Relativity and Quantum Cosmology · Physics 2013-08-06 Michalis Agathos , Walter Del Pozzo , Tjonnie G. F. Li , Chris Van Den Broeck , John Veitch , Salvatore Vitale

Neutron star binaries and their associated gravitational wave signal facilitate precision tests of General Relativity. Any deviation of the detected gravitational waveform from General Relativity would therefore be a smoking gun signature…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Robin Fynn Diedrichs , Daniel Schmitt , Laura Sagunski

We use the separate universe framework to study cosmological perturbations within the group field theory formalism for quantum gravity, based on multi-condensate quantum states. Working with a group field theory action for gravity minimally…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Florian Gerhardt , Daniele Oriti , Edward Wilson-Ewing

We examine generalized global symmetries as a kind of compactly supported cohomology, and so are led to revisit questions about the locality of quantum field theory, following Segal. Physics naturally suggests a generalization of…

Mathematical Physics · Physics 2025-04-11 Owen Gwilliam

We revisit perturbative unitarity in scalar field inflation with a nonminimal coupling, with Higgs inflation serving as the most prominent example. Although such models are phenomenologically successful, it is critical to examine whether or…

High Energy Physics - Phenomenology · Physics 2025-05-28 Thomas Steingasser , Mark P. Hertzberg , David I. Kaiser

Group field theories are a generalization of matrix models which provide both a second quantized reformulation of loop quantum gravity as well as generating functions for spin foam models. While states in canonical loop quantum gravity, in…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Johannes Thürigen

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

Both 3- and 4-point scattering amplitudes for spin-1 massless particles (gluons) and spin-2 massless particles (gravitons) are reviewed through self-contained step-by-step derivation. Gluon and graviton interactions are computed from…

High Energy Physics - Phenomenology · Physics 2019-12-12 Abhilash Mathews

We review the method of uniqueness which is a powerful technique for multi-loop calculations in higher dimensional theories with conformal symmetry. We use the method in momentum space and show that it allows a very transparent evaluation…

High Energy Physics - Theory · Physics 2017-04-06 S. Teber , A. V. Kotikov

We develop the General Theory of Relativity in a formalism with extended causality that describes physical interaction through discrete, transversal and localized pointlike fields. The homogeneous field equations are then solved for a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Manoelito M. de Souza , Robson N. Silveira
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