Developments in lattice QCD for matter at high temperature and density
arXiv:1312.0968
Abstract
A brief overview of the QCD phase diagram at nonzero temperature and density is provided. It is explained why standard lattice QCD techniques are not immediately applicable for its determination, due to the sign problem. We then discuss a selection of recent lattice approaches that attempt to evade the sign problem and classify them according to the underlying principle: constrained simulations (density of states, histograms), holomorphicity (complex Langevin, Lefschetz thimbles), partial summations (clusters, subsets, bags) and change in integration order (strong coupling, dual formulations).
12 pages, invited review for Pramana; reference added
References in corpus (17)
- The QCD equation of state with dynamical quarks
- QCD Phase Transition in a Strong Magnetic Background
- The QCD phase diagram at nonzero quark density
- Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
- The density of states in gauge theories
- Complex Langevin Dynamics for chiral Random Matrix Theory
- On the existence of the critical point in finite density lattice QCD
- Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
- Flux representation of an effective Polyakov loop model for QCD thermodynamics
- Lefschetz thimbles and stochastic quantisation: Complex actions in the complex plane
- Complex Langevin dynamics and other approaches at finite chemical potential
- Histograms in heavy-quark QCD at finite temperature and density
- The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
- The density in the density of states method
- Subsets and the canonical partition functions
- Adaptive gauge cooling for complex Langevin dynamics
- Fermion Bag Approach to Fermion Sign Problems