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In a vast class of systems, which includes members as diverse as sedimenting particles and bird flocks, interactions do not stem from a potential, and are in general nonreciprocal. Thus, it is not possible to define a conventional energy…

Statistical Mechanics · Physics 2026-04-03 Yu-Bo Shi , Roderich Moessner , Ricard Alert , Marin Bukov

We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is shown that there is a non-conservative force quadratic in the velocity associated to the variable mass. We construct the Lagrangian and the…

Mathematical Physics · Physics 2013-01-18 Sara Cruz y Cruz , Oscar Rosas-Ortiz

Within the framework of Lagrangian mechanics, the conservativeness of the hydrostatic forces acting on a floating rigid body is proved. The representation of the associated hydrostatic potential is explicitly worked out. The invariance of…

Mathematical Physics · Physics 2018-03-08 Enrico Massa , Stefano Vignolo

The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\ 4th post-Newtonian (4PN) order, and up to quadratic order in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Piotr Jaranowski , Gerhard Schäfer

A momentum-dependent formulation based on a stationary spin-0 and isospin-1 dibaryon field is proposed to improve convergence of chiral effective field theory in the $\cs{1}{0}$ channel of $NN$ scattering. Although the two-parameter…

Nuclear Theory · Physics 2022-05-16 Rui Peng , Songlin Lyu , Sebastian König , Bingwei Long

We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from…

High Energy Physics - Phenomenology · Physics 2024-03-19 Javier Fuentes-Martín , Ajdin Palavrić , Anders Eller Thomsen

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. The approach is based on the…

High Energy Physics - Theory · Physics 2007-05-23 H. C. Pauli

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

The chiral Abelian Higgs model is studied at finite temperature. By integrating out the heavy modes, we make a three-dimensional effective theory for the static modes. It is demonstrated that the plasma masses are correctly reproduced to…

High Energy Physics - Phenomenology · Physics 2016-09-01 Jens O. Andersen

We discuss the impact of a finite effective range on three-body systems interacting through a large two-body scattering length. By employing a perturbative analysis in an effective field theory well suited to this scale hierarchy we find…

Quantum Gases · Physics 2015-05-18 C. Ji , L. Platter , D. R. Phillips

The late part of the gravitational wave signal of binary neutron star inspirals can in principle yield crucial information on the nuclear equation of state via its dependence on relativistic tidal parameters. In the hope of analytically…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Thibault Damour , Alessandro Nagar

We study the gravitational dynamics in the early inspiral phase of coalescing compact binaries using Non-Relativistic General Relativity (NRGR) - an effective field theory formalism based on the post-newtonian expansion, but which provides…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Delphine L. Perrodin

Within the framework of string theory, a number of new fields are possible correcting the Einstein-Hilbert action, including a Kalb-Ramond two-form field. In this work we derive explicitly first order relativistic corrections to…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Vegard Undheim , Alex Bentley Nielsen , Eirik Eik Svanes

We reanalyze the binary-neutron-star signals, GW170817 and GW190425, focusing on the inspiral regime to avoid uncertainties on waveform modeling in the postinspiral regime. We use post-Newtonian waveform models as templates, which are…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Tatsuya Narikawa , Nami Uchikata

We develop a time-dependent real-space renormalization-group approach which can be applied to Hamiltonians with time-dependent random terms. To illustrate the renormalization-group analysis, we focus on the quantum Ising Hamiltonian with…

Disordered Systems and Neural Networks · Physics 2019-01-30 Peter Mason , Alexandre Zagoskin , Joseph Betouras

The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and the aspects of the quantization via the Dirac procedure related to them. Based on the vacuum field theory no-geometry…

Mathematical Physics · Physics 2009-10-07 N. N. Bogolubov , A. K. Prykarpatsky

We derive the ground-state energy for a small number of ultracold atoms in an isotropic harmonic trap using effective quantum field theory (EFT). Atoms are assumed to interact through pairwise energy-independent and energy-dependent…

Quantum Gases · Physics 2014-10-29 X. Y. Yin , D. Blume , P. R. Johnson , E. Tiesinga

We compute the conservative dynamics of non-spinning binaries at fourth Post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle…

High Energy Physics - Theory · Physics 2022-05-30 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We model a tidally forced star or giant planet as a Maclaurin spheroid, decomposing the motion into the normal modes found by Bryan (1889). We first describe the general prescription for this decomposition and the computation of the tidal…

Solar and Stellar Astrophysics · Physics 2014-12-09 Harry J. Braviner , Gordon I. Ogilvie

We compute the effective hamiltonian for non-leptonic |Delta F| = 1 decays in the standard model including next-to-next-to-leading order QCD corrections. In particular, we present the complete three-loop anomalous dimension matrix…

High Energy Physics - Phenomenology · Physics 2009-09-10 Martin Gorbahn , Ulrich Haisch
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