论文标题
关键指数的自相似序列转换
Self-similar sequence transformation for critical exponents
论文作者
论文摘要
自相似序列转化是一种原始类型的非线性序列转换，可以定义渐近序列的有效限制。自相似因素转化的方法表明是规则的。该方法用于计算$ o（n）$ - 对称$φ^4 $理论在三个维度中的关键指数，求和渐近$ \ varepsilon $膨胀。结果表明，此方法比其他涉及复杂数值计算的求和技术简单明了，同时具有可比的精度。
Self-similar sequence transformation is an original type of nonlinear sequence transformations allowing for defining effective limits of asymptotic sequences. The method of self-similar factor transformations is shown to be regular. This method is applied for calculating the critical exponents of the $O(N)$-symmetric $φ^4$ theory in three dimensions by summing asymptotic $\varepsilon$ expansions. It is shown that this method is straightforward and essentially simpler than other summation techniques involving complicated numerical calculations, while enjoying comparable accuracy.
