Derivative expansion of the renormalization group in O(N) scalar field theory
Derivative expansion of the renormalization group in O(N) scalar field theory
复制标题
O(N)标量场理论中重正化群的导数展开
DOI：
10.1016/s0550-3213(97)00640-8
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
M. D. Turner
中科院分区：
文献类型：
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作者：
T. Morris;M. D. Turner
我们将导数展开应用于O(N)对称标量场论的Legendre有效作用流方程，不作其他近似。在不同的N值下，我们计算了与三维威尔逊-费雪不动点相关的前导和二阶展开式的临界指数η，ν和ω。此外，我们还证明了导数展开式在特定值N=∞，−2，−4，3时如何精确地重现已知的结果。
We apply a derivative expansion to the Legendre effective action flow equations of O(N) symmetric scalar field theory, making no other approximation. We calculate the critical exponents η, ν, and ω at the both the leading and second order of the expansion, associated to the three-dimensional Wilson-Fisher fixed points, at various values of N. In addition, we show how the derivative expansion reproduces exactly known results, at the special values N = ∞, −2, −4,3.