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We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion…

High Energy Physics - Lattice · Physics 2020-01-01 Maxim Mai , Chris Culver , Andrei Alexandru , Michael Döring , Frank X. Lee

We compute the static-light baryon spectrum by means of Wilson twisted mass lattice QCD using N_f = 2 flavors of sea quarks. As light u/d valence quarks we consider quarks, which have the same mass as the sea quarks with corresponding pion…

High Energy Physics - Lattice · Physics 2011-09-21 Marc Wagner , Christian Wiese

We present simulation results for lattice QCD with chiral fermions in small volumes, where the epsilon-expansion of chiral perturbation theory applies. Our data for the low lying Dirac eigenvalues, as well as mesonic correlation functions,…

High Energy Physics - Lattice · Physics 2009-11-11 W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai , S. Shcheredin

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

High Energy Physics - Lattice · Physics 2007-05-23 Bernhard U. Musch

The electromagnetic form factors provide important hints for the internal structure of the nucleon and continue to be of major interest for experimentalists. For an intermediate range of momentum transfers the form factors can be calculated…

The physics of strong interactions is invariant under the exchange of left-handed and right-handed quarks, at least in the massless limit. This invariance is reflected in the chiral symmetry of quantum chromodynamics. Surprisingly, it has…

High Energy Physics - Lattice · Physics 2007-05-23 Pilar Hernandez , Karl Jansen , Laurent Lellouch

The different ground state energies of N-pion and M-kaon systems for N+M <=12 are studied in lattice QCD. These energies are then used to extract the various two- and three- body interactions that occur in these systems. Particular…

High Energy Physics - Lattice · Physics 2011-08-11 William Detmold , Brian Smigielski

We calculate the low-lying spectra for the positive-parity $\Delta$ and $N$ at two pion masses of 358 and 278 MeV using an isotropic clover action with two degenerate light-quaark and one strange-quark flavors through the application of the…

High Energy Physics - Lattice · Physics 2021-09-30 Tanjib Khan , David Richards , Frank Winter

I report recent developments on hadron interactions in lattice QCD by the HAL QCD method. As an introduction, I summarize the lattice community's consensus on the absence of the deeply bound dinucleons at heavier pion masses. We then…

High Energy Physics - Lattice · Physics 2025-03-03 Sinya Aoki

The electromagnetic properties of the baryon octet are calculated in quenched QCD on a 20^3 x 40 lattice with a lattice spacing of 0.128 fm using the fat-link irrelevant clover (FLIC) fermion action. FLIC fermions enable simulations to be…

High Energy Physics - Lattice · Physics 2010-03-04 S. Boinepalli , D. B. Leinweber , A. G. Williams , J. M. Zanotti , J. B. Zhang

We present results for the ground-state mass shifts of octet baryons due to the presence of a medium of pions or kaons from a lattice QCD calculation performed at a single value of the quark mass, corresponding to a pion mass of $m_\pi$ ~…

High Energy Physics - Lattice · Physics 2013-11-14 Amy N. Nicholson , William Detmold

The magnitude of the $U_A(1)$ symmetry breaking is expected to affect the nature of $N_f=2$ QCD chiral phase transition. The explicit breaking of chiral symmetry due to realistic light quark mass is small, so it is important to use chiral…

High Energy Physics - Lattice · Physics 2015-10-15 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

We study multi-particle state contributions to the QCD two-point functions of pseudo-scalar quark bilinears in a finite spatial volume. For sufficiently small quark masses one expects three-meson states with two additional pions at rest to…

High Energy Physics - Lattice · Physics 2013-01-23 Oliver Bar , Maarten Golterman

We present results of meson and baryon spectroscopy using the Chirally Improved Dirac operator on lattices of size 16**3 x 32 with two mass-degenerate light sea quarks. Three ensembles with pion masses of 322(5), 470(4) and 525(7) MeV and…

High Energy Physics - Lattice · Physics 2015-03-17 Georg P. Engel , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schäfer

A symmetry-preserving treatment of a vector$\times$vector contact interaction is used to compute spectra of ground-state $J^P = 0^\pm, 1^\pm$ $(f\bar g)$ mesons, their partner diquark correlations, and $J^P=1/2^\pm, 3/2^\pm$ $(fgh)$…

High Energy Physics - Phenomenology · Physics 2021-05-05 Pei-Lin Yin , Zhu-Fang Cui , Craig D. Roberts , Jorge Segovia

Lattice QCD calculations with chiral fermions of the $\pi$N sigma term $\sigma_{\pi N}$ and strangeness sigma term $\sigma_{sN}$ including chiral interpolation with continuum and volume corrections are provided in this work, with the…

High Energy Physics - Lattice · Physics 2016-09-14 Yi-Bo Yang , Andrei Alexandru , Terrence Draper , Jian Liang , Keh-Fei Liu

We have simulated lattice QCD with an irrelevant 4-fermion interaction and 2 zero mass quarks. The chiral phase transition is observed to be second order and we discuss extraction of critical exponents.

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , J. -F. Lagae , D. K. Sinclair

In 2 + 1 flavour lattice QCD the spectrum of the nucleon is presented for both parities using local meson-baryon type interpolating fields in addition to the standard three-quark nucleon interpolators. The role of local five-quark operators…

High Energy Physics - Lattice · Physics 2015-07-09 Adrian L. Kiratidis , Waseem Kamleh , Derek B. Leinweber , Benjamin J. Owen

Strongly coupled QED is a model whose physics is dominated by short-ranged effects. In order to assess which features of numerical simulations of the chiral phase transition are universal and which are not, we have formulated a quenched…

High Energy Physics - Lattice · Physics 2009-10-28 Simon Hands