From free fields to AdS space

Thermal case

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in previous papers in the case of Euclidean thermal field theory and study how the dual bulk geometry is encoded on them. The expectation value of Polyakov loop, which is an order parameter for confinement-deconfinement transition, is directly reflected on the dual bulk geometry. The dual geometry of the confined phase is found to be AdS space periodically identified in Euclidean time direction. The gluing of Schwinger parameters, which is a key step for the reorganization of field theory correlators, works in the same way as in the nonthermal case. In the deconfined phase the gluing is made possible only by taking the dual geometry correctly. The dual geometry for the deconfined phase does not have a noncontractable circle in the Euclidean time direction.

Original languageEnglish
Article number066009
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume72
Issue number6
DOIs
Publication statusPublished - 15-09-2005

Fingerprint

Field Theory
geometry
Euclidean
Gluing
Correlator
correlators
Field Study
Order Parameter
Circle
strings
Strings
Closed

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

@article{2a4228d9e5d04bba80122a381bef6a28,
title = "From free fields to AdS space: Thermal case",
abstract = "We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in previous papers in the case of Euclidean thermal field theory and study how the dual bulk geometry is encoded on them. The expectation value of Polyakov loop, which is an order parameter for confinement-deconfinement transition, is directly reflected on the dual bulk geometry. The dual geometry of the confined phase is found to be AdS space periodically identified in Euclidean time direction. The gluing of Schwinger parameters, which is a key step for the reorganization of field theory correlators, works in the same way as in the nonthermal case. In the deconfined phase the gluing is made possible only by taking the dual geometry correctly. The dual geometry for the deconfined phase does not have a noncontractable circle in the Euclidean time direction.",
author = "Kazuyuki Furuuchi",
year = "2005",
month = "9",
day = "15",
doi = "10.1103/PhysRevD.72.066009",
language = "English",
volume = "72",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Physical Society",
number = "6",

}

From free fields to AdS space : Thermal case. / Furuuchi, Kazuyuki.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 72, No. 6, 066009, 15.09.2005.

Research output: Contribution to journalArticle

TY - JOUR

T1 - From free fields to AdS space

T2 - Thermal case

AU - Furuuchi, Kazuyuki

PY - 2005/9/15

Y1 - 2005/9/15

N2 - We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in previous papers in the case of Euclidean thermal field theory and study how the dual bulk geometry is encoded on them. The expectation value of Polyakov loop, which is an order parameter for confinement-deconfinement transition, is directly reflected on the dual bulk geometry. The dual geometry of the confined phase is found to be AdS space periodically identified in Euclidean time direction. The gluing of Schwinger parameters, which is a key step for the reorganization of field theory correlators, works in the same way as in the nonthermal case. In the deconfined phase the gluing is made possible only by taking the dual geometry correctly. The dual geometry for the deconfined phase does not have a noncontractable circle in the Euclidean time direction.

AB - We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in previous papers in the case of Euclidean thermal field theory and study how the dual bulk geometry is encoded on them. The expectation value of Polyakov loop, which is an order parameter for confinement-deconfinement transition, is directly reflected on the dual bulk geometry. The dual geometry of the confined phase is found to be AdS space periodically identified in Euclidean time direction. The gluing of Schwinger parameters, which is a key step for the reorganization of field theory correlators, works in the same way as in the nonthermal case. In the deconfined phase the gluing is made possible only by taking the dual geometry correctly. The dual geometry for the deconfined phase does not have a noncontractable circle in the Euclidean time direction.

UR - http://www.scopus.com/inward/record.url?scp=29744470916&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29744470916&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.72.066009

DO - 10.1103/PhysRevD.72.066009

M3 - Article

VL - 72

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

M1 - 066009

ER -