Hadron spectroscopy from canonical partition functions

Abstract

A spectroscopic method for staggered fermions based on thermodynamical considerations is proposed. The canonical partition functions corresponding to the different quark number sectors are expressed in the low temperature limit as polynomials of the eigenvalues of the reduced fermion matrix. Taking the zero temperature limit yields the masses of the lowest states. The method is successfully applied to the Goldstone pion and both dynamical and quenched results are presented showing good agreement with that of standard spectroscopy. Though in principle the method can be used to obtain the baryon and dibaryon masses, due to their high computational costs such calculations are practically unreachable.

13 pages, 4 figures. Spelling and grammatical errors are corrected

References in corpus (6)

• Lattice determination of the critical point of QCD at finite T and μ
• Accurate Scale Determinations for the Wilson Gauge Action
• Lattice QCD at finite density via a new canonical approach
• Finite density QCD with a canonical approach
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Cited by in corpus (4)

• Light Hadron Masses from Lattice QCD
• Finite-density lattice QCD and sign problem: current status and open problems
• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• QCD at non-zero density and canonical partition functions with Wilson fermions