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QCD Phase Transition in Hot Hadronic Matter
High Energy Physics - Phenomenology · Submitted 11 Oct 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The linear $\sigma$-model in $SU(3)\times SU(3)$ gives a crossover around $T_c\approx190$ MeV.
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The abstract, sentence by sentence
We analyse the QCD chiral phase transition in the nonlinear and linear $\sigma$-model. The strategy is the same in both cases. We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to temperatures in the vicinity of the phase transition. The linear $\sigma$-model in $SU(3)\times SU(3)$ gives a crossover around $T_c\approx190$ MeV. Around this temperature chiral $SU(2)\times SU(2)$ is almost restored. We also calculate meson masses as a function of temperature.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyse the QCD chiral phase transition in the nonlinear and linear $\sigma$-model. | contribution 0.99 | 0.93 | 0.05 | asserted 0.76 |
| s1 | The strategy is the same in both cases. | method 0.97 | 0.44 | 0.02 | asserted 0.98 |
| s2 | We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to temperatures in the vicinity of the phase transition. | method 1.00 | 0.93 | 0.04 | asserted 0.93 |
| s3 | The linear $\sigma$-model in $SU(3)\times SU(3)$ gives a crossover around $T_c\approx190$ MeV. | result 1.00 | 0.90 | 0.55 | asserted 1.00 |
| s4 | Around this temperature chiral $SU(2)\times SU(2)$ is almost restored. | result 0.71 | 0.73 | 0.15 | asserted 0.94 |
| s5 | We also calculate meson masses as a function of temperature. | contribution 0.84 | 0.95 | 0.04 | asserted 0.95 |
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The paper
Original abstract
We analyse the QCD chiral phase transition in the nonlinear and linear $\sigma$-model. The strategy is the same in both cases. We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to temperatures in the vicinity of the phase transition. The linear $\sigma$-model in $SU(3)\times SU(3)$ gives a crossover around $T_c\approx190$ MeV. Around this temperature chiral $SU(2)\times SU(2)$ is almost restored. We also calculate meson masses as a function of temperature.
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Papers whose main result relates to this one's
States the same result 1 paper
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Taking the experimental values for the meson masses, however, the transition is crossover.
Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model · 0.89
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