论文标题
量子隧穿计算中FRG的结构方面
Structural aspects of FRG in quantum tunnelling computations
论文作者
论文摘要
我们通过对衍生物扩展中一阶截断的功能重量化组流程方程进行数值分析，探测一维四分之一的谐波振荡器和双井电位。电位V_K（VARPHI）和波函数的两个部分微分方程Z_K（VARPHI）在不同的方案和不同的调节剂中获得的Z_K（VARPHI）被研究为k = 0，并计算出最低和第一个激发状态之间的能量差距，以便计算出强烈非率领的方法的可靠性。我们的发现指出了至少三个四分之三的范围，其中一个具有较高的lambda，其中最低的顺序近似值已经准确，这是一个中间的，其中第一个校正的包含良好的结果与确切的结果相同，最后一个具有最小的lambda，可能是最较小的lambda，可能需要较高的流动校正。还讨论了红外调节器细节的一些细节。
We probe both the unidimensional quartic harmonic oscillator and the double well potential through a numerical analysis of the Functional Renormalization Group flow equations truncated at first order in the derivative expansion. The two partial differential equations for the potential V_k(varphi) and the wave function renormalization Z_k(varphi), as obtained in different schemes and with distinct regulators, are studied down to k=0, and the energy gap between lowest and first excited state is computed, in order to test the reliability of the approach in a strongly non-perturbative regime. Our findings point out at least three ranges of the quartic coupling lambda, one with higher lambda where the lowest order approximation is already accurate, the intermediate one where the inclusion of the first correction produces a good agreement with the exact results and, finally, the one with smallest lambda where presumably the higher order correction of the flow is needed. Some details of the specifics of the infrared regulator are also discussed.
