Refining the Boundaries of Quark Soup at Low Temperatures ✎ express

Original: "QCD Crossover at Low Temperatures from Lee-Yang Edge Singularity"
arXiv:2601.04782 · 2026-01-08 · arXiv non-exclusive · independent analysis · 2 min
Scientists have for the first time traced how the boundary of quark soup shifts at temperatures around 108 MeV.

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Water freezes at zero and boils at one hundred degrees. Matter made of quarks and gluons also has boundaries between states, but instead of a thermometer, the temperature here is measured in millions of electron-volts. One such boundary is the line where quark soup stops being soup and turns into ordinary protons and neutrons. Until now, this line could only be drawn at high temperatures; at low temperatures, it got lost in the computational fog.

A new study has for the first time extended the line down to a temperature of about 108 MeV — roughly a hundred thousand times hotter than the surface of the Sun. The physicists used a trick with an imaginary chemical potential: instead of actually compressing the matter, they worked along an imaginary axis where calculations are stable. They then found a special point — the Lee-Yang edge — where the system's properties change sharply, like a crack in glass marking its breaking point. From this point, they derived a universal scaling relation, common to all phase transitions of this type, and used it to reconstruct how the boundary shifts under real compression.

The Lee-Yang edge is like the dew point on a window: before it, droplets are invisible; after it, the glass fogs up. Similarly, in quark soup, the transition is smooth before the Lee-Yang edge and sharp after it.

The result matches previous estimates at small compression and what is observed in heavy-ion collisions, where a tiny fireball of quark matter is born. This means the method works and can be trusted. Now the road is open: step by step, adding new temperatures and more precise calculations, one can map the entire region of low temperatures and high densities — where the critical point, the final chord of the phase transition, may be hiding.

A temperature of 108 MeV corresponds to about 1.3 trillion degrees Celsius — 100,000 times hotter than the center of the Sun.

Scientists
Ludwig BoltzmannRudolf ClausiusEmile ClapeyronGustav KirchhoffJosiah Willard GibbsAndré-Marie Ampère
Concepts
lattice calculation transition temperature lattice qcd