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The Strength of First and Second Order Phase Transitions from Partition Function Zeroes

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abstract

We present a numerical technique employing the density of partition function zeroes (i) to distinguish between phase transitions of first and higher order, (ii) to examine the crossover between such phase transitions and (iii) to measure the strength of first and second order phase transitions in the form of latent heat and critical exponents. These techniques are demonstrated in applications to a number of models for which zeroes are available.

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hep-lat 1

years

2026 1

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UNVERDICTED 1

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Zeros of the partition function for 12 flavor QCD

hep-lat · 2026-06-12 · unverdicted · novelty 4.0 · 2 refs

Numerical study of partition function zeros in 12-flavor lattice QCD finds strong evidence for first-order transitions at m_q=0.02 with scaling d=3.98(6) and suggests critical mass m_q^c approximately 0.05 where the transition ends.

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  • Zeros of the partition function for 12 flavor QCD hep-lat · 2026-06-12 · unverdicted · none · ref 28 · 2 links · internal anchor

    Numerical study of partition function zeros in 12-flavor lattice QCD finds strong evidence for first-order transitions at m_q=0.02 with scaling d=3.98(6) and suggests critical mass m_q^c approximately 0.05 where the transition ends.