Quantum–classical transition in the Caldeira–Leggett model

J. Kovács, B. Fazekas, S. Nagy, K. Sailer

Research output: Contribution to journalArticle

Abstract

The quantum–classical transition in the Caldeira–Leggett model is investigated in the framework of the functional renormalization group method. It is shown that a divergent quadratic term arises in the action due to the heat bath in the model. By removing the divergence with a frequency cutoff we considered the critical behavior of the model. The critical exponents belonging to the susceptibility and the correlation length are determined and their independence of the frequency cutoff and the renormalization scheme is shown.

Original languageEnglish
Pages (from-to)372-381
Number of pages10
JournalAnnals of Physics
Volume376
DOIs
Publication statusPublished - Jan 1 2017

Fingerprint

cut-off
renormalization group methods
baths
divergence
exponents
magnetic permeability
heat

Keywords

  • Caldeira–Leggett model
  • Critical exponents
  • Renormalization group

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Quantum–classical transition in the Caldeira–Leggett model. / Kovács, J.; Fazekas, B.; Nagy, S.; Sailer, K.

In: Annals of Physics, Vol. 376, 01.01.2017, p. 372-381.

Research output: Contribution to journalArticle

@article{f4c979eb0c6f4861907fcbf4c985abdf,
title = "Quantum–classical transition in the Caldeira–Leggett model",
abstract = "The quantum–classical transition in the Caldeira–Leggett model is investigated in the framework of the functional renormalization group method. It is shown that a divergent quadratic term arises in the action due to the heat bath in the model. By removing the divergence with a frequency cutoff we considered the critical behavior of the model. The critical exponents belonging to the susceptibility and the correlation length are determined and their independence of the frequency cutoff and the renormalization scheme is shown.",
keywords = "Caldeira–Leggett model, Critical exponents, Renormalization group",
author = "J. Kov{\'a}cs and B. Fazekas and S. Nagy and K. Sailer",
year = "2017",
month = "1",
day = "1",
doi = "10.1016/j.aop.2016.12.010",
language = "English",
volume = "376",
pages = "372--381",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Quantum–classical transition in the Caldeira–Leggett model

AU - Kovács, J.

AU - Fazekas, B.

AU - Nagy, S.

AU - Sailer, K.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The quantum–classical transition in the Caldeira–Leggett model is investigated in the framework of the functional renormalization group method. It is shown that a divergent quadratic term arises in the action due to the heat bath in the model. By removing the divergence with a frequency cutoff we considered the critical behavior of the model. The critical exponents belonging to the susceptibility and the correlation length are determined and their independence of the frequency cutoff and the renormalization scheme is shown.

AB - The quantum–classical transition in the Caldeira–Leggett model is investigated in the framework of the functional renormalization group method. It is shown that a divergent quadratic term arises in the action due to the heat bath in the model. By removing the divergence with a frequency cutoff we considered the critical behavior of the model. The critical exponents belonging to the susceptibility and the correlation length are determined and their independence of the frequency cutoff and the renormalization scheme is shown.

KW - Caldeira–Leggett model

KW - Critical exponents

KW - Renormalization group

UR - http://www.scopus.com/inward/record.url?scp=85009480811&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009480811&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2016.12.010

DO - 10.1016/j.aop.2016.12.010

M3 - Article

AN - SCOPUS:85009480811

VL - 376

SP - 372

EP - 381

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -