论文标题
在大n的二维线性sigma模型中的不均匀状态
Inhomogeneous states in two dimensional linear sigma model at large N
论文作者
论文摘要
在本说明中，我们考虑了二维线性Sigma模型的不均匀解决方案。这些解决方案类似于最近在二维$ cp^n $ sigma模型中找到的解决方案。该解决方案仅用于某些耦合常数。我们将溶液的能量作为模型参数的函数计算，并表明在耦合常数的某个值下，它会改变符号信号传递可能的相变。还讨论了在有限温度下的非线性模型的情况。表现出不均匀溶液的自由能在某种临界温度下改变标志。
In this note we consider inhomogeneous solutions of two-dimensional linear sigma model in the large $N$ limit. These solutions are similar to the ones found recently in two-dimensional $CP^N$ sigma model. The solution exists only for some range of coupling constant. We calculate energy of the solutions as function of parameters of the model and show that at some value of the coupling constant it changes sign signaling a possible phase transition. The case of the nonlinear model at finite temperature is also discussed. The free energy of the inhomogeneous solution is shown to change sign at some critical temperature.
