论文标题
Quark-Meson模型中的壳体与曲率质量参数固定方案及其相图
On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
论文作者
论文摘要
我们计算并比较夸克 - 梅森模型的有效潜在和相结构在延长的平均场近似值（E-MFA）中包括真空时，包括一个环的夸克波动，并且模型参数是使用不同的重新分配规定固定的。使用不同的Quark Quark Quark Ane-loop真空差异，该量子的范围固定在范围内，以示例量的固定范围，以示例限制范围，以示例量的范围固定范围，该范围均等级别设置的范围设置，该方案的模型设置的模型及 pseudo-scalar mesons, has been termed as the quark-meson model with the vacuum term(QMVT).However,this prescription becomes inconsistent when we notice that the curvature mass is akin to defining the meson mass by the self-energy evaluation at vanishing momentum.In this work,we apply the recently reported exact prescription of the on-shell parameter fixing,to that version of quark-meson (QM)两种夸克风味与$ su（2）_ {l} \ times su（2）_ {r} $线性sigma模型与iso-singlet $σ$（$η$），iso-o-so-so-o-strlet $ \ vec \ vec {0} $ {$ \ vec {$ \ vec {然后，模型变成了重新归一化的夸克 - 梅森（RQM）模型，其中物理（极点）的蜂窝质量（极）质量和茶叶衰变常数被纳入运行的质量参数和耦合的关系中，并使用shell和最小的负差压缩方案。模型，对于$M_σ= $ 616 MEV完全相同。在QMVT模型中，有效电位最深，$M_σ<$ 616 MEV，当$M_σ> $ 616 MEV时，它在RQM模型中最深。
We compute and compare the effective potential and phase structure for the quark-meson model in an extended mean-field approximation (e-MFA) when vacuum one loop quark fluctuations are included and the model parameters are fixed using different renormalization prescriptions.When the quark one loop vacuum divergence is regularized under the minimal subtraction scheme,the model setting of the parameter fixing using the curvature masses of the scalar and pseudo-scalar mesons, has been termed as the quark-meson model with the vacuum term(QMVT).However,this prescription becomes inconsistent when we notice that the curvature mass is akin to defining the meson mass by the self-energy evaluation at vanishing momentum.In this work,we apply the recently reported exact prescription of the on-shell parameter fixing,to that version of quark-meson (QM) model where the two quark flavors are coupled to the eight mesons of the $ SU(2)_{L} \times SU(2)_{R} $ linear sigma model with iso-singlet $ σ$ ($η$),iso-triplet $ \vec{a_{0}} $ ($ \vecπ $) scalar(pseudo-scalar) mesons.The model then becomes, the renormalized quark-meson (RQM) model where physical (pole) masses of mesons and pion 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 vacuum effective potential plots,the phase diagrams and the order parameter temperature variations for both the RQM model and QMVT model,are exactly identical for the $m_σ=$616 MeV.The effective potential is deepest in the QMVT model for $m_σ< $ 616 MeV and it becomes deepest in the RQM model when $m_σ> $616 MeV.
