{"arxiv_id":"2010.03310","incoming":{"papers":5,"sentences":17,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":2,"quotes":[{"arxiv_id":"2312.00665","title":"Functional Renormalization Group Study of Thermodynamic Geometry Around the Phase Transition of Quantum Chromodynamic","url":"/paper/2312.00665","section":"Introduction","sentence":"We complete the studies of [ref] by analyzing these aspects of $R$ within the FRG approach.","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":3,"quotes":[{"arxiv_id":"2312.00665","title":"Functional Renormalization Group Study of Thermodynamic Geometry Around the Phase Transition of Quantum Chromodynamic","url":"/paper/2312.00665","section":"Results","sentence":"Within the mean field approximation, $R$ changes sign around $T_c$, in agreement with previous results [ref] : this was interpreted as the emergence of a boson-like behavior of the system around $T_c$, namely of a statistical attraction in phase space due to long range correlations that develop around $T_c$ that overcomes the statistical fermionic repulsion.","intent_p":0.83,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"2312.00665","title":"Functional Renormalization Group Study of Thermodynamic Geometry Around the Phase Transition of Quantum Chromodynamic","url":"/paper/2312.00665","section":"Introduction","sentence":"Within the context of thermodynamic geometry, interesting and recent developments regard its applications to effective models, in particular to the quark-meson (QM) model [ref] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"2108.13435","title":"The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry","url":"/paper/2108.13435","section":"Thermodynamic Geometry and the Maximum Force","sentence":"It has been applied to study the thermodynamics of black holes, in particular thermodynamic instability and phase transitions [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2107.14523","title":"The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point","url":"/paper/2107.14523","section":"Introduction","sentence":"Other interesting paper can also be found in Refs. [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2102.11305","title":"Multiple phases and meromorphic deformations of unitary matrix models","url":"/paper/2102.11305","section":"Outlook","sentence":"Regarding more physical considerations, when discussing the model with fermionic matter and its interpretation in terms of chiral symmetry breaking, it is worth mentioning that recently [ref] , the chiral symmetry breaking phase transition in four-dimensional QCD has been studied from the point of view of thermodynamic geometry [ref] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"2012.05734","title":"Finite Size Effects on the Chiral Phase Transition of Quantum Chromodynamics","url":"/paper/2012.05734","section":"Summary and Conclusions","sentence":"Finally, it is of a certain interest to analyze the thermodynamic geometry [ref] of the effective models of chiral symmetry breaking with finite size.","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":7},"outgoing":{"papers":7,"sentences":28,"groups":[{"kind":"extends","label":"Builds on","papers":2,"sentences":4,"quotes":[{"arxiv_id":"1905.05296","title":"Thermodynamic Geometry of Nambu -- Jona Lasinio model","url":"/paper/1905.05296","section":"Conclusions","sentence":"This study is a natural continuation of previous works [ref] in which the same problem has been analyzed within the mean field approximation.","intent_p":0.98,"contests_p":null},{"arxiv_id":"1907.11781","title":"Thermodynamic Geometry of the Quark-Meson Model","url":"/paper/1907.11781","section":"Conclusions","sentence":"This study is a natural continuation of previous works [ref] in which the same problem has been analyzed within the mean field approximation.","intent_p":0.98,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":3,"quotes":[{"arxiv_id":"1712.01629","title":"Effects of Renormalizing the chiral SU(2) Quark-Meson-Model","url":"/paper/1712.01629","section":"Introduction","sentence":"Being this a first study on fluctuations in the context of thermodynamic curvature, we introduce the fluctuations in the simplest way possible, namely using the Cornwall-Jackiw-Toumbulis (CJT) effective action formalism for composite operators [ref] and limiting ourselves to the largely used Hartree approximation [ref] in which momentum dependent self-energy diagrams are neglected.","intent_p":1.0,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1905.05296","title":"Thermodynamic Geometry of Nambu -- Jona Lasinio model","url":"/paper/1905.05296","section":"The thermodynamic curvature","sentence":"We notice that in both cases, $R$ develops a groove around the chiral crossover, in agreement with [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1907.11781","title":"Thermodynamic Geometry of the Quark-Meson Model","url":"/paper/1907.11781","section":"The thermodynamic curvature","sentence":"We notice that in both cases, $R$ develops a groove around the chiral crossover, in agreement with [ref] .","intent_p":0.87,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":5,"sentences":7,"quotes":[{"arxiv_id":"1905.05296","title":"Thermodynamic Geometry of Nambu -- Jona Lasinio model","url":"/paper/1905.05296","section":"Introduction","sentence":"By means of $g_ij$ it is possible to define the scalar curvature, $R$, using the standard definitions of the Riemann geometry; in this context, $R$ is named the thermodynamic curvature, and the theory that studies $R$ is called thermodynamic geometry [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1907.11781","title":"Thermodynamic Geometry of the Quark-Meson Model","url":"/paper/1907.11781","section":"Introduction","sentence":"By means of $g_ij$ it is possible to define the scalar curvature, $R$, using the standard definitions of the Riemann geometry; in this context, $R$ is named the thermodynamic curvature, and the theory that studies $R$ is called thermodynamic geometry [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2007.11515","title":"Ruppeiner curvature along a renormalization group flow","url":"/paper/2007.11515","section":"Thermodynamic geometry","sentence":"Other fields of application concern Lennard-Jones fluids [ref] , ferromagnetic systems [ref] , gravitational systems and Black Holes [ref] , strong interacting matter [ref] and others [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2009.14087","title":"Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity","url":"/paper/2009.14087","section":"Thermodynamic geometry","sentence":"Other fields of application concern Lennard-Jones fluids [ref] , ferromagnetic systems [ref] , gravitational systems and Black Holes [ref] , strong interacting matter [ref] and others [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2009.12067","title":"Information theoretical view of QCD effective model with heavy quarks","url":"/paper/2009.12067","section":"Introduction","sentence":"Recently, information theory has also been applied to the QCD phase diagram [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":12},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2010.03310"}}