scholarly journals Finite-Volume Hamiltonian Method for ππ Scattering in Lattice QCD

2016 ◽  
Author(s):  
Jia-Jun Wu ◽  
T.-S. Harry Lee ◽  
Derek B. Leinweber ◽  
A. W. Thomas ◽  
Ross D. Young
Keyword(s):  
Lattice Qcd ◽  
Finite Volume ◽  
Hamiltonian Method

scholarly journals Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Jia-Jun Wu ◽  
T.-S. H. Lee ◽  
A. W. Thomas ◽  
R. D. Young
Keyword(s):  
Lattice Qcd ◽  
Finite Volume ◽  
Hamiltonian Method ◽  
Coupled Channels

scholarly journals DK I = 0, $$ D\overline{K} $$ I = 0, 1 scattering and the $$ {D}_{s0}^{\ast } $$(2317) from lattice QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gavin K. C. Cheung ◽  
◽  
Christopher E. Thomas ◽  
David J. Wilson ◽  
Graham Moir ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Energy Region ◽  
Light Quark ◽  
Bound State ◽  
Vector Resonance ◽  
Quark Masses ◽  
Partial Waves

Abstract Elastic scattering amplitudes for I = 0 DK and I = 0, 1 $$ D\overline{K} $$ D K ¯ are computed in S, P and D partial waves using lattice QCD with light-quark masses corresponding to mπ = 239 MeV and mπ = 391 MeV. The S-waves contain interesting features including a near-threshold JP = 0+ bound state in I = 0 DK, corresponding to the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ (2317), with an effect that is clearly visible above threshold, and suggestions of a 0+ virtual bound state in I = 0 $$ D\overline{K} $$ D K ¯ . The S-wave I = 1 $$ D\overline{K} $$ D K ¯ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound D* vector resonance, but negligibly small P -wave DK interactions are observed in the energy region considered; the P and D-wave $$ D\overline{K} $$ D K ¯ amplitudes are also small. There is some evidence of 1+ and 2+ resonances in I = 0 DK at higher energies.

scholarly journals LATTICE QCD GLUON PROPAGATORS NEAR TRANSITION TEMPERATURE

2012 ◽  
Vol 27 (09) ◽  
pp. 1250050 ◽  
Author(s):  
V. G. BORNYAKOV ◽  
V. K. MITRJUSHKIN
Keyword(s):  
Transition Temperature ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Momentum Space ◽  
Transition Point ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Volume Dependence ◽  
Gauge Fixing ◽  
Two Phases

Landau gauge gluon propagators are studied numerically in the SU (3) gluodynamics as well as in the full QCD with the number of flavors nF = 2 using efficient gauge fixing technique. We compare these propagators at temperatures very close to the transition point in two phases: confinement and deconfinement. The electric mass mE has been determined from the momentum space longitudinal gluon propagator. Gribov copy effects are found to be rather strong in the gluodynamics, while in the full QCD case they are weak ("Gribov noise"). Also we analyze finite volume dependence of the transverse and longitudinal propagators.

scholarly journals Finite volume dependence of hadron properties and lattice QCD

2005 ◽  
Vol 9 ◽  
pp. 321-330 ◽  
Author(s):  
Anthony W Thomas ◽  
Jonathan D Ashley ◽  
Derek B Leinweber ◽  
Ross D Young
Keyword(s):  
Lattice Qcd ◽  
Finite Volume ◽  
Volume Dependence

scholarly journals Lattice QCD and Three-Particle Decays of Resonances

2019 ◽  
Vol 69 (1) ◽  
pp. 65-107 ◽  
Author(s):  
Maxwell T. Hansen ◽  
Stephen R. Sharpe
Keyword(s):  
Scattering Amplitudes ◽  
Lattice Qcd ◽  
Finite Volume ◽  
First Principles ◽  
Quantization Condition ◽  
Infinite Volume ◽  
Numerical Implementation ◽  
Decay Channels ◽  
Particle Decays ◽  
The Relationship

Most strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered X, Y, and Z resonances. In order to study such resonances from first principles using lattice QCD, one must understand finite-volume effects for three particles in the cubic box used in calculations. We review efforts to develop a three-particle quantization condition that relates finite-volume energies to infinite-volume scattering amplitudes. We describe in detail the three approaches that have been followed, and present new results on the relationship between the corresponding results. We show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.

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