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Title: Helicity operators for mesons in flight on the lattice

Abstract

Motivated by the desire to construct meson-meson operators of definite relative momentum in order to study resonances in lattice QCD, we present a set of single-meson interpolating fields at non-zero momentum that respect the reduced symmetry of a cubic lattice in a finite cubic volume. These operators follow from the subduction of operators of definite helicity into irreducible representations of the appropriate little groups. We show their effectiveness in explicit computations where we find that the spectrum of states interpolated by these operators is close to diagonal in helicity, admitting a description in terms of single-meson states of identified J PC. Lastly, the variationally determined optimal superpositions of the operators for each state give rapid relaxation in Euclidean time to that state, ideal for the construction of meson-meson operators and for the evaluation of matrix elements at finite momentum.

Authors:
;  [1];  [2]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1033505
Alternate Identifier(s):
OSTI ID: 1099006
Report Number(s):
JLAB-THY-11-1368; DOE/OR/23177-1619; arXiv:1107.1930
Journal ID: ISSN 1550-7998; TRN: US1200337
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 85; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONSTRUCTION; CUBIC LATTICES; EVALUATION; HELICITY; IRREDUCIBLE REPRESENTATIONS; MATRIX ELEMENTS; MESONS; QUANTUM CHROMODYNAMICS; RELAXATION; SYMMETRY

Citation Formats

Christopher E. Thomas, Edwards, Robert G., and Dudek, Jozef J. Helicity operators for mesons in flight on the lattice. United States: N. p., 2012. Web. doi:10.1103/PhysRevD.85.014507.
Christopher E. Thomas, Edwards, Robert G., & Dudek, Jozef J. Helicity operators for mesons in flight on the lattice. United States. doi:10.1103/PhysRevD.85.014507.
Christopher E. Thomas, Edwards, Robert G., and Dudek, Jozef J. Fri . "Helicity operators for mesons in flight on the lattice". United States. doi:10.1103/PhysRevD.85.014507. https://www.osti.gov/servlets/purl/1033505.
@article{osti_1033505,
title = {Helicity operators for mesons in flight on the lattice},
author = {Christopher E. Thomas and Edwards, Robert G. and Dudek, Jozef J.},
abstractNote = {Motivated by the desire to construct meson-meson operators of definite relative momentum in order to study resonances in lattice QCD, we present a set of single-meson interpolating fields at non-zero momentum that respect the reduced symmetry of a cubic lattice in a finite cubic volume. These operators follow from the subduction of operators of definite helicity into irreducible representations of the appropriate little groups. We show their effectiveness in explicit computations where we find that the spectrum of states interpolated by these operators is close to diagonal in helicity, admitting a description in terms of single-meson states of identified JPC. Lastly, the variationally determined optimal superpositions of the operators for each state give rapid relaxation in Euclidean time to that state, ideal for the construction of meson-meson operators and for the evaluation of matrix elements at finite momentum.},
doi = {10.1103/PhysRevD.85.014507},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = ,
volume = 85,
place = {United States},
year = {2012},
month = {1}
}

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Cited by: 33 works
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