论文标题
通过自相似近似值计算临界温度和临界指数
Calculating critical temperature and critical exponents by self-similar approximants
论文作者
论文摘要
自相似近似理论允许定义有效的渐近级数总和。自相似因子近似值的方法用于计算$ o（n）$ - 对称$φ^4 $字段理论的临界温度和临界指数在三个维度中通过求和渐近$ \ varepsilon $扩展。该方法比其他涉及复杂的数值计算的求和技术本质上比其他求和技术更简单，同时具有可比的精度。
Self-similar approximation theory allows for defining effective sums of asymptotic series. The method of self-similar factor approximants is applied for calculating the critical temperature and critical exponents of the $O(N)$-symmetric $φ^4$ field theory in three dimensions by summing asymptotic $\varepsilon$ expansions. This method is shown to be essentially simpler than other summation techniques involving complicated numerical calculations, while enjoying comparable accuracy.
