Phase structure of the Euclidean three-dimensional O (1) ghost model

Z. Péli, S. Nagy, K. Sailer

Research output: Contribution to journalArticle

Abstract

We have treated the Euclidean three-dimensional O(1) ghost model with a modified version of the effective average action (EAA) renormalization group (RG) method, developed by us. We call it Fourier-Wetterich RG approach and it is used to investigate the occurrence of a periodic condensate in terms of the functional RG. The modification involves additional terms in the ansatz of the EAA, corresponding to the Fourier-modes of the periodic condensate. The RG flow equations are derived keeping the terms up to the fourth order of the gradient expansion (GE), however the numerical calculations are conducted in the second order (or next-to-leading order, NLO) of the GE. The expansion of the flow equations around the nontrivial minimum of the local potential takes into account properly the vertices induced by the periodic condensate even if the wave function renormalization is set to be field-independent. The numerical analysis reveals several different phases with three multicritical points.

Original languageEnglish
Article number1950021
JournalInternational Journal of Modern Physics A
Volume34
Issue number2
DOIs
Publication statusPublished - Jan 20 2019

Fingerprint

ghosts
condensates
flow equations
expansion
gradients
renormalization group methods
numerical analysis
apexes
wave functions
occurrences

Keywords

  • effective average action
  • functional renormalization group
  • O (1) model

ASJC Scopus subject areas

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

Cite this

Phase structure of the Euclidean three-dimensional O (1) ghost model. / Péli, Z.; Nagy, S.; Sailer, K.

In: International Journal of Modern Physics A, Vol. 34, No. 2, 1950021, 20.01.2019.

Research output: Contribution to journalArticle

@article{4e40d46310d04e29b686cb6116dda23a,
title = "Phase structure of the Euclidean three-dimensional O (1) ghost model",
abstract = "We have treated the Euclidean three-dimensional O(1) ghost model with a modified version of the effective average action (EAA) renormalization group (RG) method, developed by us. We call it Fourier-Wetterich RG approach and it is used to investigate the occurrence of a periodic condensate in terms of the functional RG. The modification involves additional terms in the ansatz of the EAA, corresponding to the Fourier-modes of the periodic condensate. The RG flow equations are derived keeping the terms up to the fourth order of the gradient expansion (GE), however the numerical calculations are conducted in the second order (or next-to-leading order, NLO) of the GE. The expansion of the flow equations around the nontrivial minimum of the local potential takes into account properly the vertices induced by the periodic condensate even if the wave function renormalization is set to be field-independent. The numerical analysis reveals several different phases with three multicritical points.",
keywords = "effective average action, functional renormalization group, O (1) model",
author = "Z. P{\'e}li and S. Nagy and K. Sailer",
year = "2019",
month = "1",
day = "20",
doi = "10.1142/S0217751X19500210",
language = "English",
volume = "34",
journal = "International Journal of Modern Physics A",
issn = "0217-751X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",

}

TY - JOUR

T1 - Phase structure of the Euclidean three-dimensional O (1) ghost model

AU - Péli, Z.

AU - Nagy, S.

AU - Sailer, K.

PY - 2019/1/20

Y1 - 2019/1/20

N2 - We have treated the Euclidean three-dimensional O(1) ghost model with a modified version of the effective average action (EAA) renormalization group (RG) method, developed by us. We call it Fourier-Wetterich RG approach and it is used to investigate the occurrence of a periodic condensate in terms of the functional RG. The modification involves additional terms in the ansatz of the EAA, corresponding to the Fourier-modes of the periodic condensate. The RG flow equations are derived keeping the terms up to the fourth order of the gradient expansion (GE), however the numerical calculations are conducted in the second order (or next-to-leading order, NLO) of the GE. The expansion of the flow equations around the nontrivial minimum of the local potential takes into account properly the vertices induced by the periodic condensate even if the wave function renormalization is set to be field-independent. The numerical analysis reveals several different phases with three multicritical points.

AB - We have treated the Euclidean three-dimensional O(1) ghost model with a modified version of the effective average action (EAA) renormalization group (RG) method, developed by us. We call it Fourier-Wetterich RG approach and it is used to investigate the occurrence of a periodic condensate in terms of the functional RG. The modification involves additional terms in the ansatz of the EAA, corresponding to the Fourier-modes of the periodic condensate. The RG flow equations are derived keeping the terms up to the fourth order of the gradient expansion (GE), however the numerical calculations are conducted in the second order (or next-to-leading order, NLO) of the GE. The expansion of the flow equations around the nontrivial minimum of the local potential takes into account properly the vertices induced by the periodic condensate even if the wave function renormalization is set to be field-independent. The numerical analysis reveals several different phases with three multicritical points.

KW - effective average action

KW - functional renormalization group

KW - O (1) model

UR - http://www.scopus.com/inward/record.url?scp=85061443230&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061443230&partnerID=8YFLogxK

U2 - 10.1142/S0217751X19500210

DO - 10.1142/S0217751X19500210

M3 - Article

AN - SCOPUS:85061443230

VL - 34

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 2

M1 - 1950021

ER -