C-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow

V. Bacsó, N. Defenu, A. Trombettoni, I. Nándori

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we study the c-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential. The integration of the c-function along trajectories of the non-perturbative renormalization group flow gives access to the central charges of the model in the fixed points. The results at vanishing frequency β2, where the periodicity does not play a role, are retrieved and the independence on the cutoff regulator for small frequencies is discussed. Our findings show that the central charge obtained integrating the trajectories starting from the repulsive low-frequencies fixed points (β2

Original languageEnglish
Pages (from-to)444-460
Number of pages17
JournalNuclear Physics B
Volume901
DOIs
Publication statusPublished - Dec 1 2015

Fingerprint

periodic variations
trajectories
regulators
cut-off
low frequencies
interactions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

C-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow. / Bacsó, V.; Defenu, N.; Trombettoni, A.; Nándori, I.

In: Nuclear Physics B, Vol. 901, 01.12.2015, p. 444-460.

Research output: Contribution to journalArticle

@article{75b589d3e1554b50913f13ec0462ba1a,
title = "C-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow",
abstract = "In this paper we study the c-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential. The integration of the c-function along trajectories of the non-perturbative renormalization group flow gives access to the central charges of the model in the fixed points. The results at vanishing frequency β2, where the periodicity does not play a role, are retrieved and the independence on the cutoff regulator for small frequencies is discussed. Our findings show that the central charge obtained integrating the trajectories starting from the repulsive low-frequencies fixed points (β2",
author = "V. Bacs{\'o} and N. Defenu and A. Trombettoni and I. N{\'a}ndori",
year = "2015",
month = "12",
day = "1",
doi = "10.1016/j.nuclphysb.2015.11.001",
language = "English",
volume = "901",
pages = "444--460",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

TY - JOUR

T1 - C-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow

AU - Bacsó, V.

AU - Defenu, N.

AU - Trombettoni, A.

AU - Nándori, I.

PY - 2015/12/1

Y1 - 2015/12/1

N2 - In this paper we study the c-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential. The integration of the c-function along trajectories of the non-perturbative renormalization group flow gives access to the central charges of the model in the fixed points. The results at vanishing frequency β2, where the periodicity does not play a role, are retrieved and the independence on the cutoff regulator for small frequencies is discussed. Our findings show that the central charge obtained integrating the trajectories starting from the repulsive low-frequencies fixed points (β2

AB - In this paper we study the c-function of the sine-Gordon model taking explicitly into account the periodicity of the interaction potential. The integration of the c-function along trajectories of the non-perturbative renormalization group flow gives access to the central charges of the model in the fixed points. The results at vanishing frequency β2, where the periodicity does not play a role, are retrieved and the independence on the cutoff regulator for small frequencies is discussed. Our findings show that the central charge obtained integrating the trajectories starting from the repulsive low-frequencies fixed points (β2

UR - http://www.scopus.com/inward/record.url?scp=84946780339&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84946780339&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2015.11.001

DO - 10.1016/j.nuclphysb.2015.11.001

M3 - Article

AN - SCOPUS:84946780339

VL - 901

SP - 444

EP - 460

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -