Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-01-15
Phys.Rev.D82:014511,2010
Physics
High Energy Physics
High Energy Physics - Lattice
JLAB-THY-10-1121, NT@UW-10-01, journal version
Scientific paper
10.1103/PhysRevD.82.014511
Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the 3-$\pi^+$ and 3-$K^+$ interactions, and the corresponding chemical potentials have been determined as a function of density. We derive recursion relations between correlation functions that allow this work to be extended to systems of arbitrary numbers of mesons and to systems containing many different types of mesons, such as $\pi^+$'s, $K^+$'s, $\bar{D}^0$'s and $B^+$'s. These relations allow for the study of finite-density systems in arbitrary volumes, and for the study of high-density systems.
Detmold William
Savage Martin J.
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