Optimized regulator for the quantized anharmonic oscillator

J. Kovacs, S. Nagy, K. Sailer

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The energy gap between the first excited state and the ground state is calculated for the quantized anharmonic oscillator in the framework of the functional renormalization group method. The compactly supported smooth regulator is used which includes various types of regulators as limiting cases. It was found that the value of the energy gap depends on the regulator parameters. We argue that the optimization based on the disappearance of the false, broken symmetric phase of the model leads to the Litim's regulator. The least sensitivity on the regulator parameters leads, however, to an IR regulator being somewhat different of the Litim's one, but it can be described as a perturbatively improved, or generalized Litim's regulator and provides analytic evolution equations, too.

Original languageEnglish
Article number1550058
JournalInternational Journal of Modern Physics A
Volume30
Issue number12
DOIs
Publication statusPublished - Apr 30 2015

Fingerprint

regulators
oscillators
renormalization group methods
optimization
ground state
sensitivity
excitation

Keywords

  • critical exponents
  • Renormalization group

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Cite this

Optimized regulator for the quantized anharmonic oscillator. / Kovacs, J.; Nagy, S.; Sailer, K.

In: International Journal of Modern Physics A, Vol. 30, No. 12, 1550058, 30.04.2015.

Research output: Contribution to journalArticle

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