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Scaling Analysis of Chiral Phase Transition for Two Flavors of Kogut-Susskind Quarks
High Energy Physics - Lattice · Submitted 19 Aug 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The scaling behavior of susceptibilities as a function of $m_q$ is consistent with a second-order transition at $m_q=0$.
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The abstract, sentence by sentence
Report is made of a systematic scaling study of the finite-temperature chiral phase transition of two-flavor QCD with the Kogut-Susskind quark action based on simulations on $L^3\times4$ ($L$=8, 12 and 16) lattices at the quark mass of $m_q=0.075, 0.0375, 0.02$ and 0.01. Our finite-size data show that a phase transition is absent for $m_q\geq 0.02$, and quite likely also at $m_q=0.01$. The scaling behavior of susceptibilities as a function of $m_q$ is consistent with a second-order transition at $m_q=0$. However, the exponents deviate from the O(2) or O(4) values theoretically expected.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Report is made of a systematic scaling study of the finite-temperature chiral phase transition of two-flavor QCD with the Kogut-Susskind quark action based on simulations on $L^3\times4$ ($L$=8, 12 and 16) lattices at the quark mass of $m_q=0.075, 0.0375, 0.02$ and 0.01. | contribution 0.67 | 0.94 | 0.05 | asserted 0.98 |
| s1 | Our finite-size data show that a phase transition is absent for $m_q\geq 0.02$, and quite likely also at $m_q=0.01$. | result 1.00 | 0.96 | 0.42 | hedged possibility 0.72 |
| s2 | The scaling behavior of susceptibilities as a function of $m_q$ is consistent with a second-order transition at $m_q=0$. | result 0.76 | 0.89 | 0.38 | hedged possibility 0.97 |
| s3 | However, the exponents deviate from the O(2) or O(4) values theoretically expected. | result 0.86 | 0.86 | 0.17 | asserted 1.00 |
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The paper
Original abstract
Report is made of a systematic scaling study of the finite-temperature chiral phase transition of two-flavor QCD with the Kogut-Susskind quark action based on simulations on $L^3\times4$ ($L$=8, 12 and 16) lattices at the quark mass of $m_q=0.075, 0.0375, 0.02$ and 0.01. Our finite-size data show that a phase transition is absent for $m_q\geq 0.02$, and quite likely also at $m_q=0.01$. The scaling behavior of susceptibilities as a function of $m_q$ is consistent with a second-order transition at $m_q=0$. However, the exponents deviate from the O(2) or O(4) values theoretically expected.
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Papers whose main result relates to this one's
States the same result 2 papers
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Analysis of critical exponents estimated from the quark mass dependence of susceptibilities shows that they satisfy hyperscaling consistent with a second-order transition located at $m_q=0$.
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We find a phase transition to be absent for $m_q\geq 0.02$, and also quite likely at $m_q=0.01$.
Two-Flavor Chiral Phase Transition in Lattice QCD with the Kogut-Susskind Quark Action · 0.80
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