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A brief discussion of the elastic pion-pion scattering amplitude to two loops in chiral perturbation theory is given. Some technical details of the evaluation of two-loop diagrams are addressed, and results relevant for the pionium decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Sainio

We investigate a new numerical procedure to compute fermionic correlation functions at very small quark masses. Large statistical fluctuations, due to the presence of local ``bumps'' in the wave functions associated with the low-lying…

High Energy Physics - Lattice · Physics 2010-02-03 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

In this talk, I first motivate the use of Chiral Perturbation Theory in the context of Lattice QCD. In particular, I explain how partially quenched QCD, which has, in general, unequal valence- and sea-quark masses, can be used to obtain…

High Energy Physics - Phenomenology · Physics 2017-08-23 Maarten Golterman

The Covariant Spectator Theory is applied to the description of quarks and the pion. The dressed quark mass function is calculated dynamically in Minkowski space and used in the calculation of the pion electromagnetic form factor. The…

High Energy Physics - Phenomenology · Physics 2018-05-28 E. P. Biernat , F. Gross , M. T. Peña , A. Stadler , S. Leitão

Consideration of the analytic properties of pion-induced baryon self-energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

High Energy Physics - Lattice · Physics 2009-07-09 D. B. Leinweber , A. W. Thomas , K. Tsushima , S. V. Wright

Rather than regarding the restriction of current lattice QCD simulations to quark masses that are 5--10 times larger than those observed, we note that this presents a wonderful opportunity to deepen our understanding of QCD. Just as it has…

Nuclear Theory · Physics 2010-05-28 W. Detmold , D. B. Leinweber , W. Melnitchouk , A. W. Thomas , S. V. Wright

We study the interactions of a static quark antiquark pair at non-zero temperature using realistic 2+1 flavor lattice QCD calculations. The study consists of two parts: the first investigates the properties of Wilson line correlators in…

The status of determinations of $\al_s$ from quarkonia using lattice QCD is reviewed. We compare the results with those obtained from perturbative QCD.

High Energy Physics - Lattice · Physics 2010-11-19 Aida X. El-Khadra

Multi-particle states with additional pions are expected to be a non-negligible source of excited-state contamination in lattice simulations at the physical point. It is shown that baryon chiral perturbation theory can be employed to…

High Energy Physics - Lattice · Physics 2017-05-30 Oliver Bar

I critically review recent lattice QCD results relevant for kaon phenomenology, as well as the methods that are used to obtain them. The focus is on calculations with N_f=2 and N_f=2+1 flavors of sea quarks. Concerning methodology, the…

High Energy Physics - Lattice · Physics 2009-12-04 Laurent Lellouch

Using only global symmetries of QCD, we set up an effective model of quarks at finite temperature near the cross over, including all possible terms up to dimension 6. We first treat this in mean field theory. Then we investigate low-energy…

High Energy Physics - Phenomenology · Physics 2018-03-07 Sourendu Gupta , Rishi Sharma

Lattice gauge theory and chiral perturbation theory are among the primary tools for understanding non-perturbative aspects of QCD. I review several subtle and sometimes controversial issues that arise when combining these techniques. Among…

High Energy Physics - Lattice · Physics 2013-09-25 Michael Creutz

We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the naive time-reversal-odd Boer-Mulders function, of the nucleon, using large-momentum effective theory (LaMET). The calculation is…

High Energy Physics - Lattice · Physics 2025-02-18 Lingquan Ma , Jun Hua , Andreas Schäfer , Hai-Tao Shu , Yushan Su , Peng Sun , Lisa Walter , Wei Wang , Xiaonu Xiong , Yi-Bo Yang , Jian-Hui Zhang , Qi-An Zhang

Our progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Sets of spatially-extended hadron operators with a variety of different momenta are used. A new method of stochastically estimating the…

High Energy Physics - Lattice · Physics 2015-05-27 C. Morningstar , A. Bell , J. Bulava , J. Foley , K. J. Juge , D. Lenkner , C. H. Wong

A brief overview of the lattice technique of studying QCD is presented. Recent results from the UKQCD Collaboration's simulations with dynamical quarks are then presented. In this work, the calculations are all at a fixed lattice spacing…

High Energy Physics - Phenomenology · Physics 2009-11-07 Chris Allton

We demonstrate that the polaron theory from solid state physics can serve as an interesting analogue model for non-perturbative QCD, at least in the description of nucleons and related low-energy physics of strong interactions. By drawing…

High Energy Physics - Phenomenology · Physics 2025-07-22 S. S. Afonin , A. V. Tulub

The quark mass function is computed both by solving the quark propagator Dyson-Schwinger equation and from lattice simulations implementing overlap and Domain-Wall fermion actions for valence and sea quarks, respectively. The results are…

High Energy Physics - Lattice · Physics 2021-12-01 Lei Chang , Yu-Bin Liu , Khépani Raya , J. Rodríguez-Quintero , Yi-Bo Yang

We consider the lattice field theory involving two flavors of staggered quarks which interact with $U_A(1)$ gauge fields in the strong coupling limit. For massless quarks, this theory has an $SU_L(2)\times SU_R(2) \times U_A(1)$ symmetry.…

High Energy Physics - Lattice · Physics 2008-11-26 D. J. Cecile

The pattern of chiral symmetry breaking is exploited to compute vector and axial-vector pion matrix elements in a uniform magnetic field. Our results are model independent, and thereby constitute low-energy theorems that must be obeyed by…

High Energy Physics - Phenomenology · Physics 2024-06-04 Prabal Adhikari , Brian C. Tiburzi

We calculate diquark correlation functions in the Landau gauge on the lattice using overlap valence quarks and 2+1-flavor domain wall fermion configurations. Quark masses are extracted from the scalar part of quark propagators in the Landau…

High Energy Physics - Phenomenology · Physics 2016-12-15 Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Zhaofeng Liu , Hao-Xue Qiao , Yi-Bo Yang