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A characteristic feature of the Gaussian approximation in the functional-integral approach to the spin-fluctuation theory is the jump phase transition to the paramagnetic state. We eliminate the jump and obtain a continuous second-order…

Strongly Correlated Electrons · Physics 2010-04-27 N. B. Melnikov , B. I. Reser , V. I. Grebennikov

Spin-1/2 particles can be used to study inertial and gravitational effects by means of interferometers, particle accelerators, and ultimately quantum systems. These studies require, in general, knowledge of the Hamiltonian and of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Singh , G. Papini

Compact binaries can have non-negligible orbital eccentricities in the frequency band of ground-based gravitational-wave detectors, depending on their astrophysical formation channels. To accurately determine the parameters of such systems,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Quentin Henry , Mohammed Khalil

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

General Relativity and Quantum Cosmology · Physics 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

The aim of this note is to describe the computation of post-Minkwoskian Hamiltonians in modified theories of gravity. Exploiting a recent relation between amplitudes of massive scalars and Hamiltonians for relativistic point-particles, we…

High Energy Physics - Theory · Physics 2020-01-08 Andrea Cristofoli

A form of infinite derivative gravity is free from ghost-like instabilities with improved small scale behavior. In this theory, we calculate the tree-level scattering amplitude and the corresponding weak field potential energy between two…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Ercan Kilicarslan

We study some particular modifications of gravity in search for a natural way to unify the gravitational and electromagnetic interaction. The certain components of connection in the appearing variants of the theory can be identified with…

General Relativity and Quantum Cosmology · Physics 2018-11-05 N. V. Kharuk , S. N. Manida , S. A. Paston , A. A. Sheykin

The present paper addresses open questions regarding the handling of the spin supplementary condition within the effective field theory approach to the post-Newtonian approximation. In particular it is shown how the covariant spin…

General Relativity and Quantum Cosmology · Physics 2012-05-21 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

The paper presents equations determining the particle spin evolution in the post-Newtonian approximation in the problem of motion of two mass and spin possessing particles. The equations are derived with the Einstein-Infeld-Hoffmann method…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mikhail V. Gorbatenko , Taras M. Gorbatenko

In the present paper we take a step towards the generalization of the post-Newtonian formalism to tensor-multi-scalar theories. These are theories where we have more than one scalar field being mediators of the gravitational interaction in…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Oliver Schön , Daniela D. Doneva

Part 2 of 3 from master's thesis: Modeling Compact Objects with Effective Field Theory. Using the Effective Field Theory framework for extended objects, we build the effective theory of a binary system made up of the most general compact…

High Energy Physics - Theory · Physics 2023-04-06 Irvin Martinez

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Han Wang , Clifford M. Will

We employ a single worldline effective field theory in a Schwarzschild--Tangherlini background to compute the gravitational Compton amplitude up to third post-Minkowskian order. By exposing the structure of infrared and forward divergences…

High Energy Physics - Theory · Physics 2026-04-10 N. Emil J. Bjerrum-Bohr , Gang Chen , Carl Jordan Eriksen , Nabha Shah

Using an energy-momentum tensor for spinning particles due to Dixon and Bailey-Israel, we develop the post-Newtonian approximation for N spinning particles in a self-contained manner. The equations of motion are derived directly from this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hing Tong Cho

We discuss the motion of spin in inertial and gravitational fields. The coupling of spin with rotation and the gravitomagnetic field has already been extensively studied; therefore, we focus here on the inertial and gravitational spin-orbit…

General Relativity and Quantum Cosmology · Physics 2013-09-25 Bahram Mashhoon , Yuri N. Obukhov

A self-consistent gravitational quantum field theory, with gravitational force treated on the same footing as the other three fundamental interactions, was established recently. The gravidynamics predicted by such a theory could lead to…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Ying-jian Chen , Peng Xu , Yue-liang Wu

We have constructed a heavy baryon effective field theory with photon as an external field in accordance with the symmetry requirements similar to the heavy quark effective field theory. By treating the heavy baryon and anti-baryon equally…

High Energy Physics - Phenomenology · Physics 2014-11-18 K. B. Vijaya Kumar , Yong-Liang Ma , Yue-Liang Wu

An heuristic semiclassical procedure that incorporates quantum gravity induced corrections in the description of photons and spin 1/2 fermions is reviewed. Such modifications are calculated in the framework of loop quantum gravity and they…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luis Urrutia

We derive formulae that resum, at a given order in the soft limit, the infinite series of Post-Minkowskian (small gravitational coupling) or Post-Newtonian (small velocities) corrections to the gravitational waveform produced by particles…

General Relativity and Quantum Cosmology · Physics 2025-08-27 Andrea Cipriani , Giorgio Di Russo , Francesco Fucito , José Francisco Morales , Hasmik Poghosyan , Rubik Poghossian