Critical behavior of phi3 field theories in three dimensions
Critical behavior of phi3 field theories in three dimensions
复制标题
三维场论中 phi3 的临界行为
DOI：
10.1103/physrevb.26.3923
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发表时间：
1982
期刊：
影响因子：
--
通讯作者：
B. W. Keck
中科院分区：
文献类型：
--
作者：
J. Reeve;A. Guttmann;B. W. Keck
利用重整化微扰理论的方法，求出了渗流问题和杨-李边奇性问题的临界指数。上述两种临界现象均用场论描述，威尔逊函数在三维空间中显式计算为三个环，并用Pad‘e-Borel方法求和，所得临界指数值与直接级数展开结果一致。
The methods of renormalized perturbation theory are used to find the critical exponents of the percolation and Yang-Lee edge singularity problems. Both of the above critical phenomena are described by ${\ensuremath{\varphi}}^{3}$ field theories, and the Wilson functions are calculated explicitly in three dimensions to order three loops and summed using the Pad\'e-Borel method. The resulting critical exponent values are consistent with direct series expansion results.