Size effects on the thermodynamic behavior of a simplified generalized scalar Yukawa model

We analyze the thermodynamic behavior of the generalized scalar Yukawa model, composed of a complex scalar field interacting with scalar and vector fields. Finite-size effects on the phase structure are investigated using methods of quantum field theory on toroidal topologies. We focus on the analysis of the phase structure of this model at effective chemical equilibrium, under change of values of the relevant parameters of the model, looking especially to the influence of the spatial compactification on the phase structure.

Figure 1

Effective mass as a function of temperature, at chemical equilibrium, for $m_{\sigma }=0.26$ and $g_{\sigma }=1.52$. Dotted, dashed and full lines represent the system for respectively, $L=2.58$, $L=2.81$ and $L=4.68$.

Figure 2

Grand thermodynamic potential density $\overline{U}(T,m_{\text{eff}})/V$, as a function of the effective mass at chemical equilibrium, for $m_{\sigma }=0.26$, $g_{\sigma }=1.52$ and $L=3.74$. Dotted, dashed and full lines represent the isotherms for $T=0.687$, $T=0.681$ and $T=0.677$, respectively.

Figure 3

Same as in Fig. 2, for $m_{\sigma }=0.26$, $g_{\sigma }=1.52$ and $L=2.81$. Dotted, dashed and full lines represent the isotherms for $T=0.659$, $T=0.654$ and $T=0.649$, respectively.

Figure 4

Same as in Fig. 2, for $m_{\sigma }=0.26$, $g_{\sigma }=1.52$ and $L=1.87$. Dotted, dashed and full lines represent the isotherms with $T=0.541$, $T=0.537$ and $T=0.532$, respectively.

Figure 5

Same as in Fig. 2, for $m_{\sigma }=0.26$, $g_{\sigma }=1.52$ and $T=0.64$. Dot-dashed, dotted, dashed and full lines represent respectively, the curves with $L=2.06$, $L=2.34$, $L=2.80$ and $L=3.74$.