Analyticity and the phase diagram of QCD

Details Analyticity and the phase diagram of QCD Analyticity and the phase diagram of QCD

2003-07-06

arxiv.org/abs/hep-lat/0307007v2

Phys.Lett. B588 (2004) 136-144

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 2 figures. Extended discussion of some points

Scientific paper

10.1016/j.physletb.2004.03.018

Some consequences of the analyticity of the free energy (pressure) of QCD at finite chemical potential are deduced. These include a method for numerical exploration of the full phase diagram by a novel use of simulations at imaginary chemical potential to extract Yang-Lee zeroes of the grand-canonical partition function. We make use of, and comment on, CPT symmetries, positivity of non-linear susceptibilities and the finiteness of screening lengths. We also comment on the structure of zeroes expected for the usual picture of the phases of QCD, following a discussion of the physics of imaginary chemical potential.

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