期刊
PHYSICAL REVIEW D
卷 94, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.025027
关键词
-
资金
- DFG [GRK 1523/2, Gi 328/6-2 (FOR 723), Wi 777/11-1]
We apply pseudospectral methods to integrate functional flow equations with high accuracy, extending earlier work on functional fixed point equations [J. Borchardt and B. Knorr, Phys. Rev. D 91, 105011 (2015)]. The advantages of our method are illustrated with the help of two classes of models: first, to make contact with literature, we investigate flows of the O(N) model in three dimensions, for N = 1, 4 and in the large N limit. For the case of a fractal dimension, d = 2.4, and N = 1, we follow the flow along a separatrix from a multicritical fixed point to the Wilson-Fisher fixed point over almost 13 orders of magnitude. As a second example, we consider flows of bounded quantum-mechanical potentials, which can be considered as a toy model for Higgs inflation. Such flows pose substantial numerical difficulties, and represent a perfect test bed to exemplify the power of pseudospectral methods.
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