标题： 导数展开的精确重正化群 显示英文标题

标题： Derivative Expansion of the Exact Renormalization Group

摘要： Legendre有效作用量关于光滑截止变化的功能流动方程通过导数展开近似；没有做其他近似。 这导致了一组耦合的非线性微分方程。 对于固定点作用量对应的微分方程，最多有可数个解，在场的所有值上都是明确定义的。 我们将该技术应用于三维单组元实标量场理论的固定点。 仅找到两个非奇异解：高斯固定点和Wilson固定点的一个近似。 后者被用来计算临界指数，通过将近似进行到二阶来实现。 结果似乎迅速收敛。 显示英文摘要

摘要： The functional flow equations for the Legendre effective action, with respect to changes in a smooth cutoff, are approximated by a derivative expansion; no other approximation is made. This results in a set of coupled non-linear differential equations. The corresponding differential equations for a fixed point action have at most a countable number of solutions that are well defined for all values of the field. We apply the technique to the fixed points of one-component real scalar field theory in three dimensions. Only two non-singular solutions are found: the gaussian fixed point and an approximation to the Wilson fixed point. The latter is used to compute critical exponents, by carrying the approximation to second order. The results appear to converge rapidly.