scholarly journals Note on finite temperature sum rules for vector and axial-vector spectral functions

2002 ◽  
Vol 530 (1-4) ◽  
pp. 88-92 ◽  
Author(s):  
E. Marco ◽  
R. Hofmann ◽  
W. Weise
Keyword(s):  
Finite Temperature ◽  
Sum Rules ◽  
Axial Vector ◽  
Spectral Functions ◽  
Temperature Sum

scholarly journals Finite Temperature QCD Sum Rules: A Review

2017 ◽  
Vol 2017 ◽  
pp. 1-24 ◽  
Author(s):  
Alejandro Ayala ◽  
C. A. Dominguez ◽  
M. Loewe
Keyword(s):  
Finite Temperature ◽  
Chemical Potential ◽  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Heavy Ion ◽  
Qcd Sum Rules ◽  
Rho Meson ◽  
Ion Collisions ◽  
Rule Method

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for deconfinement, as later confirmed by lattice QCD simulations. Also included are determinations in the light-quark vector and axial-vector channels, allowing analysing the Weinberg sum rules and predicting the dimuon spectrum in heavy-ion collisions in the region of the rho-meson. Also, in this sector, the determination of the temperature behaviour of the up-down quark mass, together with the pion decay constant, will be described. Finally, an extension of the QCD sum rule method to incorporate finite baryon chemical potential is reviewed.

scholarly journals Finite temperature sum rules in lattice gauge theory

2008 ◽  
Vol 795 (1-2) ◽  
pp. 230-242 ◽  
Author(s):  
Harvey B. Meyer
Keyword(s):  
Gauge Theory ◽  
Finite Temperature ◽  
Sum Rules ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Temperature Sum

Charmonium spectral functions at finite temperature from a Bayesian analysis of QCD sum rules

2011 ◽  
Author(s):  
Philipp Gubler ◽  
Kenji Morita ◽  
Makoto Oka ◽  
Atsushi Hosaka ◽  
Kanchan Khemchandani ◽  
...  
Keyword(s):  
Bayesian Analysis ◽  
Finite Temperature ◽  
Sum Rules ◽  
Spectral Functions ◽  
Qcd Sum Rules

scholarly journals Quark–hadron duality: Pinched kernel approach

2016 ◽  
Vol 31 (27) ◽  
pp. 1630026 ◽  
Author(s):  
C. A. Dominguez ◽  
L. A. Hernandez ◽  
K. Schilcher ◽  
H. Spiesberger
Keyword(s):  
Perturbative Qcd ◽  
Sum Rules ◽  
Axial Vector ◽  
Finite Energy ◽  
Aleph Collaboration ◽  
Spectral Functions ◽  
Vector Channel ◽  
Kernel Approach ◽  
Model Independent ◽  
Hadron Duality

Hadronic spectral functions measured by the ALEPH collaboration in the vector and axial-vector channels are used to study potential quark–hadron duality violations (DV). This is done entirely in the framework of pinched kernel finite energy sum rules (FESR), i.e. in a model independent fashion. The kinematical range of the ALEPH data is effectively extended up to s = 10 GeV2 by using an appropriate kernel, and assuming that in this region the spectral functions are given by perturbative QCD. Support for this assumption is obtained by using e[Formula: see text] e[Formula: see text] annihilation data in the vector channel. Results in both channels show a good saturation of the pinched FESR, without further need of explicit models of DV.

scholarly journals Massive Yang–Mills for vector and axial-vector spectral functions at finite temperature

2016 ◽  
Vol 368 ◽  
pp. 70-109 ◽  
Author(s):  
Paul M. Hohler ◽  
Ralf Rapp
Keyword(s):  
Finite Temperature ◽  
Axial Vector ◽  
Spectral Functions ◽  
Yang Mills

scholarly journals Constraining spectral functions at finite temperature and chemical potential with exact sum rules in asymptotically free theories

1995 ◽  
Vol 52 (2) ◽  
pp. 1134-1149 ◽  
Author(s):  
Suzhou Huang ◽  
Marcello Lissia
Keyword(s):  
Finite Temperature ◽  
Chemical Potential ◽  
Sum Rules ◽  
Spectral Functions

scholarly journals Finite temperature sum rules in the vector channel at finite momentum

2017 ◽  
Vol 96 (11) ◽  
Author(s):  
Philipp Gubler ◽  
Daisuke Satow
Keyword(s):  
Finite Temperature ◽  
Sum Rules ◽  
Vector Channel ◽  
Temperature Sum

scholarly journals XYZ-SU3 breakings from Laplace sum rules at higher orders

2018 ◽  
Vol 33 (16) ◽  
pp. 1850082 ◽  
Author(s):  
R. Albuquerque ◽  
S. Narison ◽  
D. Rabetiarivony ◽  
G. Randriamanatrika
Keyword(s):  
Sum Rules ◽  
Chiral Limit ◽  
Axial Vector ◽  
Operator Product ◽  
Leading Order ◽  
Spectral Functions ◽  
Quark State ◽  
Future Data ◽  
The Masses ◽  
Spectral Sum Rules

We present new compact integrated expressions of SU3 breaking corrections to QCD spectral functions of heavy–light molecules and four-quark [Formula: see text]-like states at lowest order (LO) of perturbative (PT) QCD and up to [Formula: see text] condensates of the Operator Product Expansion (OPE). Including next-to-next-to-leading order (N2LO) PT corrections in the chiral limit and next-to-leading order (NLO) SU3 PT corrections, which we have estimated by assuming the factorization of the four-quark spectral functions, we improve previous LO results for the [Formula: see text]-like masses and decay constants from QCD spectral sum rules (QSSR). Systematic errors are estimated from a geometric growth of the higher order PT corrections and from some partially known [Formula: see text] nonperturbative contributions. Our optimal results, based on stability criteria, are summarized in Tables 18–21 while the [Formula: see text] and [Formula: see text] channels are compared with some existing LO results in Table 22. One can note that, in most channels, the SU3 corrections on the meson masses are tiny: [Formula: see text] (respectively [Formula: see text]) for the [Formula: see text] (respectively [Formula: see text])-quark channel but can be large for the couplings ([Formula: see text]). Within the lowest dimension currents, most of the [Formula: see text] and [Formula: see text] states are below the physical thresholds while our predictions cannot discriminate a molecule from a four-quark state. A comparison with the masses of some experimental candidates indicates that the [Formula: see text] [Formula: see text] might have a large [Formula: see text] molecule component while an interpretation of the [Formula: see text] candidates as four-quark ground states is not supported by our findings. The [Formula: see text] [Formula: see text] and [Formula: see text] are compatible with the [Formula: see text], [Formula: see text] molecules and/or with the axial-vector [Formula: see text] four-quark ground state. Our results for the [Formula: see text], [Formula: see text] and for different beauty states can be tested in the future data. Finally, we revisit our previous estimates1 for the [Formula: see text] and [Formula: see text] and present new results for the [Formula: see text].

scholarly journals Tests of quark–hadron duality in τ-decays

2016 ◽  
Vol 31 (31) ◽  
pp. 1630036 ◽  
Author(s):  
C. A. Dominguez ◽  
L. A. Hernandez ◽  
K. Schilcher ◽  
H. Spiesberger
Keyword(s):  
Sum Rules ◽  
Axial Vector ◽  
Gluon Condensate ◽  
Finite Energy ◽  
Low Energy ◽  
Chiral Perturbation ◽  
Spectral Functions ◽  
Linear Integration ◽  
Experimental Errors ◽  
Hadron Duality

An exhaustive number of QCD finite energy sum rules for [Formula: see text]-decay together with the latest updated ALEPH data is used to test the assumption of global duality. Typical checks are the absence of the dimension d = 2 condensate, the equality of the gluon condensate extracted from vector or axial vector spectral functions, the Weinberg sum rules, the chiral condensates of dimensions d = 6 and d = 8, as well as the extraction of some low-energy parameters of chiral perturbation theory. Suitable pinched linear integration kernels are introduced in the sum rules in order to suppress potential quark–hadron duality violations and experimental errors. We find no compelling indications of duality violations in hadronic [Formula: see text]-decay in the kinematic region above s [Formula: see text] 2.2 GeV2 for these kernels.

scholarly journals τ vector and axial vector spectral functions in the extended linear sigma model

2015 ◽  
Vol 599 ◽  
pp. 012011 ◽  
Author(s):  
A Habersetzer ◽  
F Giacosa
Keyword(s):  
Sigma Model ◽  
Axial Vector ◽  
Linear Sigma Model ◽  
Spectral Functions
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