[Submitted on 25 Oct 2018] (cross-list from hep-lat)
Reliability of Taylor expansions in QCD
Bastian B. Brandt🇩🇪 · Gergely Endrodi🇩🇪
We investigate the reliability of the Taylor expansion method in QCD with isospin chemical potentials using lattice simulations. By comparing the expansion of the number density to direct results, the range of validity of the leading- and next-to-leading order expansions is determined. We also elaborate on the convergence properties of the Taylor series by comparing the leading estimate for the radius of convergence to the position of the nearest singularity, i.e. the onset of pion condensation. Our results provide a handle for quantifying the uncertainties of Taylor expansions in baryon chemical potentials.
- Comments:
- 8 pages, 8 figures; v2: typos corrected, reference list updated, discussion on finite size effects clarified
- Subjects:
- High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
- arXiv:
- 1810.11045 [pdf]