论文标题
宽和弱耦合的三维Yukawa型号和CFTS
Three dimensional Yukawa models and CFTs at strong and weak couplings
论文作者
论文摘要
在有限温度下，在平均野外框架内分析了无数的三维总纽卡瓦（GNY）和Nambu-Jona-Lasinio-yukawa-Yukawa（Njly）模型，考虑到所有耦合值。当将狄拉克费米子的数量视为$ n_f = 1/4 $（gny）和$ n_f = 1/2 $（njly）时，这些模型与超对称的wess-zumino（Wz）理论有关，具有立方超级电位和一个超级领域。在这种情况下，结果表明，强力熵密度比从Stefan-Boltzmann值降低到弱极限，到$ s/s_ {free} = 31/35 $在强耦合处。该值与最近获得的近似近似值（N $ n $ o（N）$ o（n）$ WZ型号和具有四重奏超电势和$ n $ Superfields的超对称性$ O（N）$ WZ型号相符。当$ n_f = 0 $时，一个$ s/s_ {free} = 4/5 $恢复，如预期，在$ O（n）$ stallar模型的上下文中所预期的比率。但是，与$ o（n）$ WZ模型相反，此处分析的简单Yukawa模型对所有耦合都没有表现为CFTS，因为同轴测度仅在极端弱和强的限制下完全消失，尽管声音速度表明偏差在中间耦合处似乎很小。通过比较每种情况下的热质量行为，可以追溯到这种差异，这是在GNY/NJLY情况下，费米子质量的所有耦合都消失了，而在$ O（N）$ WZ之内，它仅在弱和强极限下消失。另一方面，Yukawa玻色子无量纲的质量显示出更普遍的行为，从$ 2 \ ln [（1+ \ sqrt {5}）/2] $，在无限耦合下降低到零（在消失的耦合）。
The massless three dimensional Gross-Neveu-Yukawa (GNY) and Nambu--Jona-Lasinio--Yukawa (NJLY) models at finite temperatures are analyzed within the mean field framework considering all coupling values. When the number of Dirac fermions is taken to be $N_f=1/4$ (GNY) and $N_f=1/2$ (NJLY) these models relate to the supersymmetric Wess-Zumino (WZ) theory with cubic superpotential and one superfield. In this case the results show that the strong-weak entropy density ratio decreases from the Stefan-Boltzmann value, in the weak limit, to $s/s_{free}=31/35$ at strong couplings. This value agrees with the one recently obtained by applying the large-$N$ approximation to the supersymmetric $O(N)$ WZ model with quartic superpotential and $N$ superfields. When $N_f=0$ one obtains $s/s_{free}=4/5$ recovering, as expected, the ratio predicted in the context of the $O(N)$ scalar model. However, contrary to the $O(N)$ WZ model the simple Yukawa models analyzed here do not behave as CFTs for all couplings since the conformal measure exactly vanishes only at the extreme weak and strong limits although the speed of sound indicates that the deviation, at intermediate couplings, appears to be rather small. By comparing the thermal masses behavior in each case one can trace this difference as being a consequence that in the GNY/NJLY case the fermionic mass vanishes for all couplings while within the $O(N)$ WZ it only vanishes at the weak and strong limits. On the other hand, the Yukawa bosonic dimensionless masses display a more universal behavior decreasing from $2 \ln [(1+\sqrt{5})/2]$, at infinite coupling, to zero (at vanishing coupling).
