Addendum to wilson's theory of critical phenomena and callan-symanzik equations in 4-epsilon dimensions
Addendum to wilson's theory of critical phenomena and callan-symanzik equations in 4-epsilon dimensions
复制标题
威尔逊临界现象理论和 4-epsilon 维 Callan-symanzik 方程的附录
DOI：
10.1103/physrevd.9.1121
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发表时间：
1974
影响因子：
5
通讯作者：
J. Zinn
中科院分区：
文献类型：
--
作者：
É. Brézin;J. Guillou;J. Zinn
在以前的工作中，展示了如何使用重整化微扰理论导出临界点附近的标度律。导致临界指数的Callan-Symanzik函数$\ensuremath{\beta}$和$\ensuremath{\gamma}$的计算在$\ensuremath{\epsilon}$中扩展到下一阶。在四维中，在耦合常数的四阶上，特征值条件$\ensuremath{\beta}(g)=0$的解的存在性被证明是重整化相关的。
In a previous work, it was shown how to derive the scaling laws near a critical point using renormalized perturbation theory. The calculations of the Callan-Symanzik functions $\ensuremath{\beta}$ and $\ensuremath{\gamma}$ which lead to the critical exponents are extended to next order in $\ensuremath{\epsilon}$. The existence of a solution to the eigenvalue conditions $\ensuremath{\beta}(g)=0$ in four dimensions, at fourth order in the coupling constant, is shown to be renormalization-dependent.