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Open Quantum Systems Decoherence Quantum Simulation

Functional renormalization group for quantized anharmonic oscillator

arXiv

Authors: S. Nagy, K. Sailer

Year

2010

Paper ID

11197

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

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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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1009.4041 [2] arXiv https://arxiv.org/abs/1009.4041 [3] Publisher https://arxiv.org/abs/1009.4041

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