Functional renormalization group for quantized anharmonic oscillator
Abstract
Highlights: > RG analysis with field dependent wavefunction renormalization. > The Taylor expansion does not work for the wavefunction renormalization. > The gap energy is RG schemedependent. > The O (N) symmetric anharmonic oscillator exhibits only a single phase. > The evolution equation for the 2PI effective action for the oscillator is solved.  Abstract: Functional renormalization group methods formulated in the realtime formalism are applied to the O(N) symmetric quantum anharmonic oscillator, considered as a 0 + 1 dimensional quantum fieldtheoric model, in the nexttoleading order of the gradient expansion of the one and twoparticle irreducible effective action. The infrared scaling laws and the sensitivitymatrix analysis show the existence of only a single, symmetric phase. The Taylor expansion for the local potential converges fast while it is found not to work for the fielddependent wavefunction renormalization, in particular for the doublewell bare potential. Results for the gap energy for the bare anharmonic oscillator potential hint on improving schemeindependence in the nexttoleading order of the gradient expansion, although the truncated perturbation expansion in the bare quartic coupling provides strongly schemedependent results for the infrared limits of the running couplings.
 Authors:

 Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H4010 Debrecen (Hungary)
 Publication Date:
 OSTI Identifier:
 21583326
 Resource Type:
 Journal Article
 Journal Name:
 Annals of Physics (New York)
 Additional Journal Information:
 Journal Volume: 326; Journal Issue: 8; Other Information: DOI: 10.1016/j.aop.2011.04.011; PII: S00034916(11)000704; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 00034916
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACTION INTEGRAL; ANHARMONIC OSCILLATORS; COUPLING; DISTURBANCES; EXPANSION; MATRICES; ONEDIMENSIONAL CALCULATIONS; OSCILLATORS; PERTURBATION THEORY; POTENTIALS; QUANTUM MECHANICS; RENORMALIZATION; SCALING LAWS; SENSITIVITY; SYMMETRY; WAVE FUNCTIONS; ELECTRONIC EQUIPMENT; EQUIPMENT; FUNCTIONS; INTEGRALS; MECHANICS
Citation Formats
Nagy, S, and Sailer, K. Functional renormalization group for quantized anharmonic oscillator. United States: N. p., 2011.
Web. doi:10.1016/j.aop.2011.04.011.
Nagy, S, & Sailer, K. Functional renormalization group for quantized anharmonic oscillator. United States. doi:10.1016/j.aop.2011.04.011.
Nagy, S, and Sailer, K. Mon .
"Functional renormalization group for quantized anharmonic oscillator". United States. doi:10.1016/j.aop.2011.04.011.
@article{osti_21583326,
title = {Functional renormalization group for quantized anharmonic oscillator},
author = {Nagy, S and Sailer, K},
abstractNote = {Highlights: > RG analysis with field dependent wavefunction renormalization. > The Taylor expansion does not work for the wavefunction renormalization. > The gap energy is RG schemedependent. > The O (N) symmetric anharmonic oscillator exhibits only a single phase. > The evolution equation for the 2PI effective action for the oscillator is solved.  Abstract: Functional renormalization group methods formulated in the realtime formalism are applied to the O(N) symmetric quantum anharmonic oscillator, considered as a 0 + 1 dimensional quantum fieldtheoric model, in the nexttoleading order of the gradient expansion of the one and twoparticle irreducible effective action. The infrared scaling laws and the sensitivitymatrix analysis show the existence of only a single, symmetric phase. The Taylor expansion for the local potential converges fast while it is found not to work for the fielddependent wavefunction renormalization, in particular for the doublewell bare potential. Results for the gap energy for the bare anharmonic oscillator potential hint on improving schemeindependence in the nexttoleading order of the gradient expansion, although the truncated perturbation expansion in the bare quartic coupling provides strongly schemedependent results for the infrared limits of the running couplings.},
doi = {10.1016/j.aop.2011.04.011},
journal = {Annals of Physics (New York)},
issn = {00034916},
number = 8,
volume = 326,
place = {United States},
year = {2011},
month = {8}
}