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Schemes for describing the light quark mass dependence of the nucleon mass calculated in lattice QCD are compared. The three schemes in consideration include a fully relativistic and Lorentz covariant scheme, one that is fully relativistic…

High Energy Physics - Phenomenology · Physics 2024-06-28 Shiryo Owa , Derek B. Leinweber , Anthony W. Thomas , Xuan-Gong Wang

Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is…

High Energy Physics - Lattice · Physics 2010-02-17 A. W. Thomas , J. D. Ashley , D. B. Leinweber , R. D. Young

We develop a scheme for the extraction of the properties of the scalar mesons $f_0(600)$, $f_0(980)$, and $a_0(980)$ from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in…

High Energy Physics - Lattice · Physics 2011-08-22 E. Oset , M. Doring , U. G. Meissner , A. Rusetsky

An analytic expression for the ${}^1S_0$ phase shifts in nucleon-nucleon scattering is derived in the context of the Schr\"odinger equation in configuration space with a short distance cutoff and with a consistent power counting scheme…

Nuclear Theory · Physics 2009-10-31 Thomas D. Cohen , James M. Hansen

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

We investigate the chiral magnetic effect by lattice QCD with a chiral chemical potential. In a chirally imbalanced matter, we obtain a finite induced current along an external magnetic field. We analyze the dependence on the lattice…

High Energy Physics - Lattice · Physics 2011-12-21 Arata Yamamoto

We perform lattice simulations of two flavors QCD using the optimal domain-wall fermion, in which the chiral symmetry is preserved to a good precision ($ m_{res} \sim 0.3 $ MeV) on the $ 16^3 \times 32 $ lattice ($ L \sim 2 $ fm) with…

High Energy Physics - Lattice · Physics 2011-01-14 Yu-Chih Chen , Ting-Wai Chiu , Tian-Shin Guu , Tung-Han Hsieh , Chao-Hsi Huang , Yao-Yuan Mao

The renormalisation of NN scattering in theories with zero-range interactions is examined using a cut-off regularisation and taking the cut-off to infinity. Inclusion of contact interactions that depend on energy as well as momentum allows…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson , Michael C. Birse , Judith A. McGovern

As we search for an ever deeper understanding of the structure of hadronic matter one of the most fundamental questions is whether or not one can make a connection to the underlying theory of the strong interaction, QCD. We build on recent…

Nuclear Theory · Physics 2010-02-17 A. W. Thomas , P. A. M. Guichon , D. B. Leinweber , R. D. Young

We apply the relativistic chiral Lagrangian to the nuclear equation of state. An effective chiral power expansion scheme, which is constructed to work around nuclear saturation density, is presented. The leading and subleading terms are…

Nuclear Theory · Physics 2007-05-23 Matthias Lutz

A new method of employing an isospin chemical potential for QCD-like theories with different number of colors, number of fermion flavors, and in different fermion representations is proposed. The isospin chemical potential, which can be…

High Energy Physics - Lattice · Physics 2013-05-30 Michael I. Buchoff

We construct an improved version of nonrelativistic QCD for use in lattice simulations of heavy quark physics, with the goal of reducing systematic errors from all sources to below 10\%. We develop power counting rules to assess the…

High Energy Physics - Lattice · Physics 2010-11-01 G. P. Lepage , L. Magnea , C. Nakhleh , U. Magnea , K. Hornbostel

Hyperon-nucleon interactions serve as basic inputs to studies of hypernuclear physics and dense (neutron) stars. Unfortunately, a precise understanding of these important quantities have lagged far behind that of the nucleon-nucleon…

Nuclear Theory · Physics 2018-06-13 Jing Song , Kai-Wen Li , Li-Sheng Geng

Nuclear Lattice Effective Field Theory is a new many-body approach that is firmly rooted in the symmetries of QCD. In particular, it allows for truly ab initio calculations of nuclear structure and reactions. In this talk, I focus on the…

Nuclear Theory · Physics 2015-09-29 Ulf-G. Meißner

We calculate the nucleon mass in a manifestly relativistic baryon chiral perturbation theory up to the leading two-loop order. Through dimensional counting analysis, we perform the chiral expansion and verify the validity of the…

High Energy Physics - Phenomenology · Physics 2025-03-24 Ze-Rui Liang , Han-Xue Chen , Feng-Kun Guo , Zhi-Hui Guo , De-Liang Yao

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

The B-meson decay constant fB has been calculated from unquenched lattice QCD in the unphysical region. For extrapolating the lattice data to the physical region, we propose a phenomenological functional form based on the effective chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 X. -H. Guo , M. -H. Weng

We analyze chiral restoration within the $O(N+1)/O(N)$ Non-Linear Sigma Model for large $N$ as an effective theory for low-energy QCD at finite temperature $T$. The free energy is constructed diagramatically to ${\cal O}(TM^3)$ in the pion…

High Energy Physics - Phenomenology · Physics 2016-12-28 Santiago Cortés , Angel Gómez Nicola , John Morales

The extraction of two- and three-body hadronic scattering amplitudes and the properties of the low-lying hadronic resonances from the finite-volume energy levels in lattice QCD represents a rapidly developing field of research. The use of…

High Energy Physics - Lattice · Physics 2021-06-30 Maxim Mai , Michael Döring , Akaki Rusetsky