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We investigate dimerized quantum spin systems using the spin functional renormalization group approach proposed by Krieg and Kopietz [Phys. Rev. B 99, 060403(R) (2019)] which directly focuses on the physical spin correlation functions and…

Strongly Correlated Electrons · Physics 2022-06-16 Andreas Rückriegel , Jonas Arnold , Raphael Goll , Peter Kopietz

We find renormalization group transformations for the compactified Randall-Sundrum scenario by integrating out an infinitesimal slice of ultraviolet degrees of freedom near the Planck brane. Under these transformations the coefficients of…

High Energy Physics - Theory · Physics 2009-11-10 Adam Lewandowski

We compute the flux of linear momentum carried by gravitational waves emitted from spinning binary black holes at 2PN order for generic orbits. In particular we provide explicit expressions of three new types of terms, namely…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Etienne Racine , Alessandra Buonanno , Lawrence E. Kidder

This paper studies the secondary's rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem composed of a spherical primary plus a…

Earth and Planetary Astrophysics · Physics 2020-02-19 Haishuo Wang , Xiyun Hou

In this article we apply a recently invented analytical real-space renormalization group formulation which is based on numerical concepts of the density matrix renormalization group. Within a rigorous mathematical framework we construct…

Statistical Mechanics · Physics 2009-10-31 Andreas Degenhard

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

Spin precession is a generic feature of compact binary coalescences, which leaves clear imprints in the gravitational waveforms. Building on previous work, we present an efficient time domain inspiral-merger-ringdown effective-one-body…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Rossella Gamba , Sarp Akçay , Sebastiano Bernuzzi , Jake Williams

We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the…

High Energy Physics - Theory · Physics 2023-12-18 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

Using the complete orthonormal sets of radial parts of nonrelativitistic exponential type orbitals (2,1, 0, 1, 2, ...) and spinor type tensor spherical harmonics of rank s the new formulae for the 2(2s+1)-component relativistic spinors…

Mathematical Physics · Physics 2015-03-13 I. I. Guseinov

The renormalized trajectory in the multi-dimensional coupling parameter space of the two-dimensional O(3) non-linear sigma model is determined numerically under \linebreak $\delta$-function block spin transformations using two different…

High Energy Physics - Lattice · Physics 2014-11-17 Wolfgang Bock , Julius Kuti

We present the first set of numerical relativity simulations of binary neutron mergers that include spin precession effects and are evolved with multiple resolutions. Our simulations employ consistent initial data in general relativity with…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Tim Dietrich , Sebastiano Bernuzzi , Bernd Bruegmann , Maximiliano Ujevic , Wolfgang Tichy

We compute the dimensionless relativistic periastron advance parameter $k$, which is measurable from the timing of relativistic binary pulsars. We employ for the computation the recently derived Keplerian-type parametric solution to the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hedden , V. Meden , Th. Pruschke , K. Schoenhammer

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

While in the fully-connected limit the solution of the spin-glass model is known, with the existence of a complex transition on a critical line in the temperature-external field phase diagram, in finite dimensions we don't know if a…

Disordered Systems and Neural Networks · Physics 2023-02-13 Maria Chiara Angelini

We derive analytic expressions that provide Fourier domain gravitational wave (GW) response function for compact binaries inspiraling along moderately eccentric orbits. These expressions include amplitude corrections to the two GW…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Srishti Tiwari , Gopakumar Achamveedu , Maria Haney , Phurailatapam Hemantakumar

Spin-orbit coupling is widespread in binary asteroid systems and it has been widely studied for the case of ellipsoidal secondary. Due to angular momentum exchange, dynamical coupling is stronger when the orbital and rotational angular…

Earth and Planetary Astrophysics · Physics 2024-08-01 Hanlun Lei

We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism…

High Energy Physics - Theory · Physics 2009-10-30 N. Tetradis

Using the effective field theory framework for extended objects we describe the evolution of spinning compact objects in the late inspiral of the coalescence of a binary, before the plunge and merger, by including leading order corrections…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Irvin Martinez , Amanda Weltman

We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalization group study of the problem. The study illustrates two…

Condensed Matter · Physics 2009-10-22 Lin-Yuan Chen , Nigel Goldenfeld , Y. Oono , Glenn Paquette