QCD inequalities for the nucleon mass and the free energy of baryonic matter

Abstract

The positivity of the integrand of certain Euclidean space functional integrals implies that the free energy per unit volume for QCD with a baryon chemical potential ${\mu }_B$ (and zero isospin chemical potential) is greater than the free energy with isospin chemical potential ${\mu }_I=(2{\mu }_B)/N_c$ (and zero baryon chemical potential). This relation implies a bound on the nucleon mass: there exists a particle X in QCD such that $M_N\ge (N_c{m}_X)/(2I_X)$ where $m_X$ is the mass and of the particle and $I_X$ is its isospin.

Four pages. Version to appear in print

Cited by in corpus (18)

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• Path integral contour deformations for observables in $SU(N)$ gauge theory
• Phase Unwrapping and One-Dimensional Sign Problems
• Real-time lattice gauge theory actions: unitarity, convergence, and path integral contour deformations
• Inequalities for low-energy symmetric nuclear matter
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Large $N_c$ QCD at non-zero chemical potential
• Pressure inequalities for nuclear and neutron matter
• QCD inequalities for hadron interactions
• Approaching Stable Quark Matter
• Some (further) Comments on the Theta(1540) Pentaquark
• Some exact results on the QCD critical point
• Triage of the Sign Problem