论文标题
带有真空波动的三种风味夸克 - 梅森模型中的壳体与曲率质量参数固定方案
On-shell versus curvature mass parameter fixing schemes in the three flavor quark-meson model with vacuum fluctuations
论文作者
论文摘要
已经计算出三(2+1)风味夸克 - 梅森模型的真空有效势和相图,并在延伸的平均场近似值(E-MFA)中进行了比较,其中模型参数在包括Quark One-loop真空波动(包括Quark One-Alop真空波动)之后通过不同的重新分配处方固定。 When the vacuum one-loop divergence is regularized in the minimal subtraction scheme and the curvature masses of the scalar and pseudo-scalar mesons are used for fixing the parameters, the setting of the quark-meson model with the vacuum term (QMVT) turns out to be inconsistent as one notes that the curvature masses are defined by the evaluation of self-energy at zero momentum.这项工作构成了一致的壳参数固定方案的首次应用于三种风味夸克 - 梅森(QM)模型。在这种重新归一化的夸克 - 梅森(RQM)型号的设置中,$π,k,k,η$和$η^{\ prime} $ pseudo-scalar mesons和scalar $σ$σ$σ$σ$σ$σ$σ$σ$σ$ f in Im-pion decay常数和kaon衰减的最小群体和cougl scompams和c(c)减法重归其化方案。 RQM模型和QMVT模型的无线电范围归一化真空图均与$M_σ= $ 658.8 MEV完全相同,而Nonstrange方向订单参数温度变化和模型RQM和PQMVT的相位图在$M_σ$ value时相同,而M_σ$ value则相同。之所以发生这种情况,是因为非限制方向上的归一化真空有效势变化在某种程度上受到奇怪方向的变化的影响。
The vacuum effective potential and phase diagram for the three (2+1) flavor quark-meson model have been computed and compared in an extended mean-field approximation (e-MFA) where the model parameters are fixed by using different renormalization prescriptions after including quark one-loop vacuum fluctuations. When the vacuum one-loop divergence is regularized in the minimal subtraction scheme and the curvature masses of the scalar and pseudo-scalar mesons are used for fixing the parameters, the setting of the quark-meson model with the vacuum term (QMVT) turns out to be inconsistent as one notes that the curvature masses are defined by the evaluation of self-energy at zero momentum. This work constitutes the first application of the consistent on-shell parameter fixing scheme to the three flavor quark-meson (QM) model. In this setting of the renormalized quark-meson (RQM) model, the physical (pole) masses of the $π, K, η$ and $η^{\prime}$ pseudo-scalar mesons and the scalar $σ$ meson,the pion decay constant and kaon decay constant are put into the relation of the running mass parameter and couplings by using the on-shell and the minimal subtraction renormalization schemes. The nonstrange direction normalized vacuum effective potential plots for both the RQM model and QMVT model, are exactly identical for the $m_σ=$ 658.8 MeV while the nonstrange direction order parameter temperature variations and phase diagrams for both the models RQM and PQMVT are identical when the $m_σ$ value is smaller by 10 MeV i.e. $m_σ=$ 648 MeV. This happens because the normalized vacuum effective potential variation in the nonstrange direction is somewhat influenced by its variation in the strange direction.