Heavy dense QCD and nuclear matter from an effective lattice theory
arXiv:1403.4162 · doi:10.1007/JHEP09(2014)131
Abstract
A three-dimensional effective lattice theory of Polyakov loops is derived from QCD by expansions in the fundamental character of the gauge action, u, and the hopping parameter, κ, whose action is correct to κ^n u^m with n+m=4. At finite baryon density, the effective theory has a sign problem which meets all criteria to be simulated by complex Langevin as well as by Monte Carlo on small volumes. The theory is valid for the thermodynamics of heavy quarks, where its predictions agree with simulations of full QCD at zero and imaginary chemical potential. In its region of convergence, it is moreover amenable to perturbative calculations in the small effective couplings. In this work we study the challenging cold and dense regime. We find unambiguous evidence for the nuclear liquid gas transition once the baryon chemical potential approaches the baryon mass, and calculate the nuclear equation of state. In particular, we find a negative binding energy per nucleon causing the condensation, whose absolute value decreases exponentially as mesons get heavier. For decreasing meson mass, we observe a first order liquid gas transition with an endpoint at some finite temperature, as well as gap between the onset of isospin and baryon condensation.
34 pages, 13 figures
References in corpus (2)
Cited by in corpus (7)
- Some remarks on Lefschetz thimbles and complex Langevin dynamics
- Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion
- Comparison of complex Langevin and mean field methods applied to effective Polyakov line models
- Controlling Complex Langevin simulations of lattice models by boundary term analysis
- Nuclear Liquid-Gas Transition in the Strong Coupling Regime of Lattice QCD
- Quarks and Triality in a Finite Volume
- Lattice gauge theories in the strong coupling and static limits as a sign-problem-free Ising model