Baryon number Dirac spectrum in QCD

TY - JOUR

T1 - Baryon number Dirac spectrum in QCD

AU - Ipsen, J.R.

AU - Splittorff, Kim

PY - 2012/7/25

Y1 - 2012/7/25

N2 - The relation between the baryon number in QCD at nonzero chemical potential and the spectral density of the baryon number Dirac operator, γ 0(D+m), is examined. We show that extreme oscillations of the spectral density, caused by the QCD sign problem, are essential for the formation of the average baryon number when μ>m π/2. We compute the oscillating region of the spectral density using chiral perturbation theory. The extreme oscillations have a microscopic period and are resolved using random matrix theory.

AB - The relation between the baryon number in QCD at nonzero chemical potential and the spectral density of the baryon number Dirac operator, γ 0(D+m), is examined. We show that extreme oscillations of the spectral density, caused by the QCD sign problem, are essential for the formation of the average baryon number when μ>m π/2. We compute the oscillating region of the spectral density using chiral perturbation theory. The extreme oscillations have a microscopic period and are resolved using random matrix theory.

U2 - 10.1103/physrevd.86.014508

DO - 10.1103/physrevd.86.014508

M3 - Journal article

SN - 2470-0010

VL - 86

JO - Physical Review D

JF - Physical Review D

IS - 1

M1 - 014508

ER -