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We present an overview of low-momentum two-nucleon and many-body interactions and their use in calculations of nuclei and infinite matter. The softening of phenomenological and effective field theory (EFT) potentials by renormalization…

Nuclear Theory · Physics 2015-03-13 S. K. Bogner , R. J. Furnstahl , A. Schwenk

The consistent embedding of Loop Quantum Gravity (LQG) effects within the Standard Model requires a rigorous understanding of how Planck-scale deformations manifest at low energies. While phenomenological approaches often introduce…

General Physics · Physics 2026-03-03 Leonardo P. G. De Assis

We study the coupling of the gravitational action, which is a linear combination of the Hilbert-Palatini term and the quadratic torsion term, to the action of Dirac fermions. The system possesses local Poincare invariance and hence belongs…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Jian Yang , Kinjal Banerjee , Yongge Ma

The spinning electron-electron interaction is described in classical terms by means of two possible classical interactions: The instantaneous Coulomb interaction between the charge centers of both particles and the Poincar\'e invariant…

Classical Physics · Physics 2025-11-19 Juan Barandiaran , Martin Rivas

The deuteron electromagnetic form factors, $A(Q^2)$ and $B(Q^2)$, and the tensor polarization $T_{20}(Q^2)$, are unambiguously calculated within the front-form relativistic Hamiltonian dynamics, by using a novel current, built up from…

Nuclear Theory · Physics 2011-07-19 F. M. Lev , E. Pace , G. Salme`

We perform Bayesian model calibration of two-nucleon ($NN$) low-energy constants (LECs) appearing in an $NN$ interaction based on pionless effective field theory (EFT). The calibration is carried out for potentials constructed using naive…

Nuclear Theory · Physics 2024-08-06 J. M. Bub , M. Piarulli , R. J. Furnstahl , S. Pastore , D. R. Phillips

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

Nuclear Theory · Physics 2025-12-02 U. van Kolck

These lectures are a pedagogical -- not comprehensive -- introduction to the applications of effective field theory in the context of nuclear and atomic physics. A common feature of these applications is the interplay between…

Nuclear Theory · Physics 2019-02-11 U. van Kolck

We study constraints on the effective field theory (EFT) from the relative entropy between two theories: we refer to these as target and reference theories. The consequence of the non-negativity of the relative entropy is investigated by…

High Energy Physics - Theory · Physics 2023-08-02 Qing-Hong Cao , Naoto Kan , Daiki Ueda

Scalar--tensor theories, with Einstein Hilbert and non-minimal interactions, $\sim M^2R/2 -\alpha\phi^2R/12 $, have graviton exchange induced contact interactions. These always pull the theory back into a formal Einstein frame in which…

High Energy Physics - Theory · Physics 2022-09-16 Christopher T. Hill

The success of non-relativistic quantum dynamics in accounting for the binding energies and spectra of light nuclei with masses up to A=10 raises the question whether the same dynamics applied to infinite nuclear matter agrees with the…

Nuclear Theory · Physics 2014-11-18 F. Coester

We develop foundations for a relational approach to quantum field theory (RQFT) based on the operational quantum reference frames (QRFs) framework considered in a relativistic setting. Unlike other efforts in combining QFT with QRFs, we use…

Quantum Physics · Physics 2026-05-08 Samuel Fedida , Jan Głowacki

A relative position 4-vector is constructed for two spin-zero particles. Some advantages of this relative position over Bakamjian-Thomas are pointed out. The centre-of-mass (CM) and relative positions and momenta are an explicit realisation…

Classical Physics · Physics 2007-05-23 Shaun N Mosley

We discuss a relativistic theory of the atomic nuclei in the framework of the hamiltonian formalism and of the mesonic model of the nucleus. Attention is paid to the translational invariance of the theory. Our approach is centered on the…

Nuclear Theory · Physics 2008-11-26 R. Cenni , A. Molinari , G. Vagradov

We show how nuclear effective field theory (EFT) and ab initio nuclear-structure methods can turn input from lattice quantum chromodynamics (LQCD) into predictions for the properties of nuclei. We argue that pionless EFT is the appropriate…

Nuclear Theory · Physics 2015-03-05 N. Barnea , L. Contessi , D. Gazit , F. Pederiva , U. van Kolck

We study the on-shell version of the Higgs mechanism in effective theories (EFTs) containing particles of different spins, focusing on contact terms as a simple starting point. We derive the massive contact terms and their coefficients from…

High Energy Physics - Phenomenology · Physics 2022-03-29 Reuven Balkin , Gauthier Durieux , Teppei Kitahara , Yael Shadmi , Yaniv Weiss

These lecture notes address a central problem of theoretical nuclear physics: how to establish a relationship between low-energy, non-perturbative QCD and nuclear phenomenology which includes both nuclear matter and finite nuclei. We…

Nuclear Theory · Physics 2017-01-25 Dario Vretenar , Wolfram Weise

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2…

High Energy Physics - Theory · Physics 2014-09-17 Xian Gao

In Newtonian mechanics, inertial pseudoforces - or fictitious forces - appear in systems studied in non-Galilean reference frames; e.g., a centrifugal force seems to arise if the dynamics is analyzed in a rotating reference frame. The…

High Energy Physics - Phenomenology · Physics 2022-11-14 S. J. Brodsky , A. Deur , C. D. Roberts

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

High Energy Physics - Theory · Physics 2017-03-21 Alexander A. Reshetnyak