Finite-temperature QCD sum rules reexamined

ρ{variant}, ω and A1 mesons

Tetsuo Hatsuda, Yuji Koike, Su Houng Lee

Research output: Contribution to journalArticle

246 Citations (Scopus)

Abstract

A new formulation of QCD sum rules at finite temperature (T) is developed. Because of the factorization in the operator product expansion, all the soft dynamics including the effect of finite T in the hadronic phase is taken into account in the thermal average of local operators 〈¢O〉T. Unlike for the T = 0 case, 〈¢O〉T has non-vanishing values for the Lorentz non-scalar operators such as vγμDvq. On the basis of the observation that the finite-temperature medium can be well approximated by a dilute (non-interacting) pion gas at low T, one can make a sensible estimate of the T-dependence of various condensates, where the current algebra and the experimental information of the pion structure functions turn out to be a useful guide. We applied this method to the light vector mesons (ρ{variant}, ω and A1) and found that the change of the four-quark condensate at T ≠ 0 is crucial to the change of meson properties. The lepton pair production rate from the hot hadronic medium near the ρ{variant}-resonance is calculated using the result of the sum rules. This has direct relevance to the detection of the lepton pairs in future projects of the ultra-relativistic heavy-ion collisions such as RHIC and LHC.

Original languageEnglish
Pages (from-to)221-264
Number of pages44
JournalNuclear Physics, Section B
Volume394
Issue number1
DOIs
Publication statusPublished - 1993 Apr 5

Fingerprint

sum rules
mesons
quantum chromodynamics
operators
condensates
leptons
pions
current algebra
vector mesons
pair production
factorization
ionic collisions
temperature
quarks
formulations
expansion
estimates
products
gases

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

@article{06610fdff8934867b85ee38f0b5ceee1,
title = "Finite-temperature QCD sum rules reexamined: ρ{variant}, ω and A1 mesons",
abstract = "A new formulation of QCD sum rules at finite temperature (T) is developed. Because of the factorization in the operator product expansion, all the soft dynamics including the effect of finite T in the hadronic phase is taken into account in the thermal average of local operators 〈¢O〉T. Unlike for the T = 0 case, 〈¢O〉T has non-vanishing values for the Lorentz non-scalar operators such as vγμDvq. On the basis of the observation that the finite-temperature medium can be well approximated by a dilute (non-interacting) pion gas at low T, one can make a sensible estimate of the T-dependence of various condensates, where the current algebra and the experimental information of the pion structure functions turn out to be a useful guide. We applied this method to the light vector mesons (ρ{variant}, ω and A1) and found that the change of the four-quark condensate at T ≠ 0 is crucial to the change of meson properties. The lepton pair production rate from the hot hadronic medium near the ρ{variant}-resonance is calculated using the result of the sum rules. This has direct relevance to the detection of the lepton pairs in future projects of the ultra-relativistic heavy-ion collisions such as RHIC and LHC.",
author = "Tetsuo Hatsuda and Yuji Koike and Lee, {Su Houng}",
year = "1993",
month = "4",
day = "5",
doi = "10.1016/0550-3213(93)90107-Z",
language = "English",
volume = "394",
pages = "221--264",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1",

}

Finite-temperature QCD sum rules reexamined : ρ{variant}, ω and A1 mesons. / Hatsuda, Tetsuo; Koike, Yuji; Lee, Su Houng.

In: Nuclear Physics, Section B, Vol. 394, No. 1, 05.04.1993, p. 221-264.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Finite-temperature QCD sum rules reexamined

T2 - ρ{variant}, ω and A1 mesons

AU - Hatsuda, Tetsuo

AU - Koike, Yuji

AU - Lee, Su Houng

PY - 1993/4/5

Y1 - 1993/4/5

N2 - A new formulation of QCD sum rules at finite temperature (T) is developed. Because of the factorization in the operator product expansion, all the soft dynamics including the effect of finite T in the hadronic phase is taken into account in the thermal average of local operators 〈¢O〉T. Unlike for the T = 0 case, 〈¢O〉T has non-vanishing values for the Lorentz non-scalar operators such as vγμDvq. On the basis of the observation that the finite-temperature medium can be well approximated by a dilute (non-interacting) pion gas at low T, one can make a sensible estimate of the T-dependence of various condensates, where the current algebra and the experimental information of the pion structure functions turn out to be a useful guide. We applied this method to the light vector mesons (ρ{variant}, ω and A1) and found that the change of the four-quark condensate at T ≠ 0 is crucial to the change of meson properties. The lepton pair production rate from the hot hadronic medium near the ρ{variant}-resonance is calculated using the result of the sum rules. This has direct relevance to the detection of the lepton pairs in future projects of the ultra-relativistic heavy-ion collisions such as RHIC and LHC.

AB - A new formulation of QCD sum rules at finite temperature (T) is developed. Because of the factorization in the operator product expansion, all the soft dynamics including the effect of finite T in the hadronic phase is taken into account in the thermal average of local operators 〈¢O〉T. Unlike for the T = 0 case, 〈¢O〉T has non-vanishing values for the Lorentz non-scalar operators such as vγμDvq. On the basis of the observation that the finite-temperature medium can be well approximated by a dilute (non-interacting) pion gas at low T, one can make a sensible estimate of the T-dependence of various condensates, where the current algebra and the experimental information of the pion structure functions turn out to be a useful guide. We applied this method to the light vector mesons (ρ{variant}, ω and A1) and found that the change of the four-quark condensate at T ≠ 0 is crucial to the change of meson properties. The lepton pair production rate from the hot hadronic medium near the ρ{variant}-resonance is calculated using the result of the sum rules. This has direct relevance to the detection of the lepton pairs in future projects of the ultra-relativistic heavy-ion collisions such as RHIC and LHC.

UR - http://www.scopus.com/inward/record.url?scp=11544373273&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11544373273&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(93)90107-Z

DO - 10.1016/0550-3213(93)90107-Z

M3 - Article

VL - 394

SP - 221

EP - 264

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -