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Chiral symmetry in the confinement phase of QCD
Modern Physics Letters A ( IF 1.4 ) Pub Date : 2021-06-22 , DOI: 10.1142/s0217732321501352
S. D. Campos 1
Affiliation  

Based on the Pomeranchuk theorem, one constructs the δ(s) parameter to measure the difference between experimental data for the particle–particle and particle–antiparticle total cross-section at same energy. The experimental data for the proton–proton and proton–antiproton total cross-section were used to show that, at the same energy, this parameter tends to zero as the collision energy grows. Furthermore, one assumes a classical description for the total cross-section, dividing it into a finite number of non-interacting disjoint cells, each one containing a quark–antiquark pair subject to the confinement potential. Near the minimum of the total cross-section, one associates δ(s) with the entropy generated by these cells, analogously to the XY-model. Using both the Quigg–Rosner and Cornell confinement potentials and neglecting other energy contributions, one can calculate the internal energy of the hadron. One obtains that both the entropy and internal energy possess the same logarithmic dependence on the spatial separation between the pairs in the cell. The Helmholtz free energy is used to estimate the transition temperature, which is far from the temperature widely related to the Quark–Gluon Plasma.

中文翻译:

QCD限制阶段的手征对称性

根据 Pomeranchuk 定理,构造δ(s)参数来测量相同能量下粒子-粒子和粒子-反粒子总截面的实验数据之间的差异。质子-质子和质子-反质子总截面的实验数据表明,在相同能量下,随着碰撞能量的增加,该参数趋于零。此外,假设对总横截面进行经典描述,将其划分为有限数量的非相互作用不相交的单元,每个单元包含一个受限制势约束的夸克-反夸克对。接近总横截面的最小值,一个联营公司δ(s)这些细胞产生的熵,类似于X-模型。使用 Quigg-Rosner 和 Cornell 限制势并忽略其他能量贡献,可以计算强子的内能。可以得出熵和内能都对细胞中的对之间的空间分离具有相同的对数依赖性。亥姆霍兹自由能用于估计转变温度,该温度与夸克-胶子等离子体广泛相关的温度相差甚远。
更新日期:2021-06-22
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