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Title: Hadronic Resonances from Lattice QCD

Abstract

The determination of the pattern of hadronic resonances as predicted by Quantum Chromodynamics requires the use of non-perturbative techniques. Lattice QCD has emerged as the dominant tool for such calculations, and has produced many QCD predictions which can be directly compared to experiment. The concepts underlying lattice QCD are outlined, methods for calculating excited states are discussed, and results from an exploratory Nucleon and Delta baryon spectrum study are presented.

Authors:
 [1]; ;  [2]; ; ;  [3];  [4];  [5];  [6]
  1. RBRC, Brookhaven National Laboratory, Upton, NY 11973 (United States)
  2. Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213 (United States)
  3. Thomas Jefferson National Accelerator Facility, Newport News, VA 23606 (United States)
  4. Yale University, New Haven, CT 06520 (United States)
  5. Department of Physics, University of the Pacific, Stockton, CA 95211 (United States)
  6. University of Maryland, College Park, MD 20742 (United States)
Publication Date:
OSTI Identifier:
21036099
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 947; Journal Issue: 1; Conference: 7. Latin American symposium on nuclear physics and applications, Cusco (Peru), 11-16 Jun 2007; Other Information: DOI: 10.1063/1.2813876; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON SPECTROSCOPY; DELTA BARYONS; EXCITED STATES; LATTICE FIELD THEORY; NUCLEONS; QUANTUM CHROMODYNAMICS; RESONANCE PARTICLES

Citation Formats

Lichtl, Adam C., Bulava, John, Morningstar, Colin, Edwards, Robert, Mathur, Nilmani, Richards, David, Fleming, George, Juge, K. Jimmy, and Wallace, Stephen J. Hadronic Resonances from Lattice QCD. United States: N. p., 2007. Web. doi:10.1063/1.2813876.
Lichtl, Adam C., Bulava, John, Morningstar, Colin, Edwards, Robert, Mathur, Nilmani, Richards, David, Fleming, George, Juge, K. Jimmy, & Wallace, Stephen J. Hadronic Resonances from Lattice QCD. United States. doi:10.1063/1.2813876.
Lichtl, Adam C., Bulava, John, Morningstar, Colin, Edwards, Robert, Mathur, Nilmani, Richards, David, Fleming, George, Juge, K. Jimmy, and Wallace, Stephen J. Fri . "Hadronic Resonances from Lattice QCD". United States. doi:10.1063/1.2813876.
@article{osti_21036099,
title = {Hadronic Resonances from Lattice QCD},
author = {Lichtl, Adam C. and Bulava, John and Morningstar, Colin and Edwards, Robert and Mathur, Nilmani and Richards, David and Fleming, George and Juge, K. Jimmy and Wallace, Stephen J.},
abstractNote = {The determination of the pattern of hadronic resonances as predicted by Quantum Chromodynamics requires the use of non-perturbative techniques. Lattice QCD has emerged as the dominant tool for such calculations, and has produced many QCD predictions which can be directly compared to experiment. The concepts underlying lattice QCD are outlined, methods for calculating excited states are discussed, and results from an exploratory Nucleon and Delta baryon spectrum study are presented.},
doi = {10.1063/1.2813876},
journal = {AIP Conference Proceedings},
number = 1,
volume = 947,
place = {United States},
year = {Fri Oct 26 00:00:00 EDT 2007},
month = {Fri Oct 26 00:00:00 EDT 2007}
}
  • The solution of QCD on a lattice provides a first-principles method for understanding QCD in the low-energy regime, and is thus an essential tool for nuclear physics. The generation of gauge configurations, the starting point for lattice calculations, requires the most powerful leadership-class computers available. However, to fully exploit such leadership-class computing requires increasingly sophisticated methods for obtaining physics observables from the underlying gauge ensembles. In this study, we describe a variety of recent methods that have been used to advance our understanding of the spectrum and structure of hadrons through lattice QCD.
  • The solution of quantum chromodynamics (QCD) on a lattice provides a first-principles method for understanding QCD in the low-energy regime, and is thus an essential tool for nuclear physics. The generation of gauge configurations, the starting point for lattice calculations, requires the most powerful leadership-class computers available. However, to fully exploit such leadership-class computing requires increasingly sophisticated methods for obtaining physics observables from the underlying gauge ensembles. In this paper, we describe a variety of recent methods that have been used to advance our understanding of the spectrum and structure of hadrons through lattice QCD.
  • The standard approach to determine the parameters of a resonance is based on the study of the volume dependence of the energy spectrum. In this work we study a non-linear sigma model coupled to a scalar field in which a resonance emerges. Using an analysis method introduced recently, based on the concept of probability distribution, it is possible to determine the mass and the width of the resonance.
  • The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The hadronic contribution is calculated for unphysical quark and muon masses, and only the diagram with a single quark loop is computed. Statistically significant signals are obtained. Initial results appear promising, and the prospect for a complete calculation with physical masses and controlled errors is discussed.