论文标题
领导全环量子对一般标量场理论中有效潜力的贡献
Leading all-loop quantum contribution to the effective potential in general scalar field theory
论文作者
论文摘要
构建了前log（LL）近似中有效电位的RG方程，这对于在4个维度中的任意标量场理论有效。该方程的解决方案总结了对所有扰动理论的所有顺序的领先$ \ logϕ $贡献。通常，这是二阶非线性偏微分方程，但在某些情况下可以将其简化为普通方程。对于特定示例，该方程是通过数值求解的，并构建了LL有效势。该解决方案具有特征性的不连续性，代替了$ ϕ^4 $理论的典型的Landau Pole。对于电力型潜力，由于Coleman-Weinberg机制，没有新的最小值出现。
The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution to this equation sums up the leading $\logϕ$ contributions to all orders of perturbation theory. In general, this is the second order nonlinear partial differential equation, but in some cases it can be reduced to the ordinary one. For particular examples, this equation is solved numerically and the LL effective potential is constructed. The solution has a characteristic discontinuity replacing the Landau pole typical for the $ϕ^4$ theory. For a power-like potential no new minima appear due to the Coleman-Weinberg mechanism.
