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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.

Authors:
 [1];  [2];  [3];  [1];  [1]
  1. Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010 Debrecen (Hungary)
  2. (Hungary)
  3. Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010 Debrecen (Hungary)
Publication Date:
OSTI Identifier:
22617455
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 376; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLASSICAL MECHANICS; QUANTUM SYSTEMS; RENORMALIZATION

Citation Formats

Kovács, J., Institute of Nuclear Research, P.O. Box 51, H-4001 Debrecen, Fazekas, B., Nagy, S., E-mail: nagys@phys.unideb.hu, and Sailer, K.. Quantum–classical transition in the Caldeira–Leggett model. United States: N. p., 2017. Web. doi:10.1016/J.AOP.2016.12.010.
Kovács, J., Institute of Nuclear Research, P.O. Box 51, H-4001 Debrecen, Fazekas, B., Nagy, S., E-mail: nagys@phys.unideb.hu, & Sailer, K.. Quantum–classical transition in the Caldeira–Leggett model. United States. doi:10.1016/J.AOP.2016.12.010.
Kovács, J., Institute of Nuclear Research, P.O. Box 51, H-4001 Debrecen, Fazekas, B., Nagy, S., E-mail: nagys@phys.unideb.hu, and Sailer, K.. Sun . "Quantum–classical transition in the Caldeira–Leggett model". United States. doi:10.1016/J.AOP.2016.12.010.
@article{osti_22617455,
title = {Quantum–classical transition in the Caldeira–Leggett model},
author = {Kovács, J. and Institute of Nuclear Research, P.O. Box 51, H-4001 Debrecen and Fazekas, B. and Nagy, S., E-mail: nagys@phys.unideb.hu and Sailer, K.},
abstractNote = {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.},
doi = {10.1016/J.AOP.2016.12.010},
journal = {Annals of Physics},
number = ,
volume = 376,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2017},
month = {Sun Jan 15 00:00:00 EST 2017}
}