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An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan

I describe how nuclear structure can be predicted from lattice QCD through low-energy effective field theories, using as an example a world simulation with relatively heavy up and down quarks.

Nuclear Theory · Physics 2015-05-26 U. van Kolck

Thermal properties of single species nucleon matter are investigated assuming a simple form of the nucleon-nucleon interaction. The nucleons are placed on a cubic lattice, hopping from site to site and interacting through a spin-dependent…

Nuclear Theory · Physics 2014-11-18 T. Abe , R. Seki , A. N. Kocharian

In recent years, the combination of advanced quantum Monte Carlo (QMC) methods and local interactions derived from chiral effective field theory (EFT) has been shown to provide a versatile and systematic approach to nuclear systems.…

Nuclear Theory · Physics 2019-03-14 Diego Lonardoni , Ingo Tews

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

High Energy Physics - Lattice · Physics 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

We present the first ab initio lattice calculations of spin and density correlations in hot neutron matter using high-fidelity interactions at next-to-next-to-next-to-leading order (N3LO) in chiral effective field theory. These correlations…

We established a new power counting scheme, chiral-scale density counting (CSDC) rules, for the application of the chiral-scale effective field theory to nuclear matter at finite densities and temperatures. Within this framework, the free…

Nuclear Theory · Physics 2026-03-18 Jia-Ying Xiong , Yao Ma , Bing-Kai Sheng , Yong-Liang Ma

After a short review of Lattice QCD methodology and techniques, I summarize recent results of Lattice QCD calculations of the interactions of nucleons and light nuclei with magnetic fields at pion masses of 805 MeV and 450 MeV.…

High Energy Physics - Lattice · Physics 2015-08-05 Martin J. Savage

We start from a low-energy effective field theory for interacting fermions on the lattice and expand in the hopping parameter to derive the nearest-neighbor interactions for a lattice gas model. In this model the renormalization of…

Nuclear Theory · Physics 2008-11-26 Matthew Hamilton , Iyam Lynch , Dean Lee

In these lectures we discuss the uses of effective field theory in studying dense hadronic matter. We focus on two regimes in the phase diagram. At low baryon density nucleons can be described as non-relativistic point particles interacting…

Nuclear Theory · Physics 2015-06-26 Thomas Schaefer

We calculate the equation of state of asymmetric nuclear matter at finite temperature based on chiral effective field theory interactions to next-to-next-to-next-to-leading order. Our results assess the theoretical uncertainties from the…

Nuclear Theory · Physics 2023-02-21 J. Keller , K. Hebeler , A. Schwenk

We present a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-10-17 Leonardo Giusti , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Davide Laudicina , Michele Pepe , Pietro Rescigno

Resent developments in the Random Matrix and Random Lattice Theories give a possibility to find low-energy theorems for many physical models in the Born-Infeld form. In our approach that based on the Random Lattice regularization of QCD we…

High Energy Physics - Lattice · Physics 2007-05-23 O. V. Pavlovsky

State-of-the-art lattice QCD studies of hot and dense strongly interacting matter currently rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on…

High Energy Physics - Lattice · Physics 2022-04-06 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Attila Pasztor , Chik Him Wong

We formulate lattice theories in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework the fermion mass term does not break chiral symmetry. This property allows us to use the Wilson term to remove the…

High Energy Physics - Lattice · Physics 2014-11-17 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

The low-energy neutron-Sigma^- interactions determine, in part, the role of the strange quark in dense matter, such as that found in astrophysical environments. The scattering phase shifts for this system are obtained from a numerical…

High Energy Physics - Lattice · Physics 2013-05-30 S. R. Beane , E. Chang , S. D. Cohen , W. Detmold , H. -W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Walker-Loud

Nucleon weak matrix elements can be extracted from nucleon correlation functions with lattice QCD simulations. The signal-to-noise ratio prohibits the analysis at large source-sink separations and as a consequence, excited state…

High Energy Physics - Lattice · Physics 2024-06-03 Lorenzo Barca , Gunnar Bali , Sara Collins

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice QCD in neutrino-oscillation physics, which inevitably entails nucleon and nuclear structure. In addition to discussing…

I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, and, to a lesser extent, Symanzik effective theory. I first discuss the ways in which effective…

High Energy Physics - Phenomenology · Physics 2015-10-09 C. Bernard

We review efforts to describe the approach to chiral symmetry restoration in neutron matter from the low-energy realization of QCD, chiral effective field theory.

Nuclear Theory · Physics 2017-03-08 Jeremy W. Holt , Keighley E. Rockcliffe