Functional renormalization group for quantized anharmonic oscillator

Details Functional renormalization group for quantized anharmonic oscillator Functional renormalization group for quantized anharmonic oscillator

2010-09-21

arxiv.org/abs/1009.4041v1

Annals Phys.326:1839-1876,2011

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 11 figures

Scientific paper

10.1016/j.aop.2011.04.011

Functional renormalization group methods formulated in the real-time formalism are applied to the $O(N)$ symmetric quantum anharmonic oscillator, considered as a $0+1$ dimensional quantum field-theoric model, in the next-to-leading order of the gradient expansion of the one- and two-particle irreducible effective action. The infrared scaling laws and the sensitivity-matrix analysis show the existence of only a single, symmetric phase. The field-independent term of the wavefunction renormalization turned out to be negligible, but its field-dependent piece is noticeable. It is shown that the infrared limits of the running couplings depend on the renormalization group scheme used, when the perturbation expansion in the bare quartic coupling is truncated keeping the terms up to the second order.

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