Method to study complex systems of mesons in lattice QCD

Journal Article · 29 July 2010 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI: https://doi.org/10.1103/PhysRevD.82.014511 · OSTI ID:1256901

Detmold, William ^[1]; Savage, Martin J. ^[2]

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1. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
2. Univ. of Washington, Seattle, WA (United States)

Correlation functions involving many hadrons allow finite density systems to be explored with Lattice QCD. Recently, systems with up to 12 $$\pi^+$$'s or $K^+$'s have been studied to determine the the $$3$$-$$\pi^+$$ and $$3$$-$K^+$ interactions and the corresponding chemical potential has been determined as a function of density in each case. We derive recursion relations between correlation functions that allow us to extend this work to systems of arbitrary numbers of mesons and to systems containing arbitrary different types of mesons such as $$\pi^+$$'s, $K^+$'s, $D^0$'s and $B^+$'s. These relations allow for the study of finite-density systems in arbitrary volumes, and the study of high-density systems. Systems comprised of up to N=12 m mesons can be explored with Lattice QCD calculations utilizing $$m$$ different sources for the quark propagators. As the recursion relations require only a small, N-independent, number of operations to derive the N+1 meson contractions from the N meson contractions, they are compuationally feasible.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
• Grant/Contract Number: AC05-06OR23177
• OSTI ID: 1256901
• Report Number(s): DOE/OR/23177--1068; JLAB-THY--10-1121; arXiv:1001.2768
• Journal Information: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 1 Vol. 82; ISSN PRVDAQ; ISSN 1550-7998
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English