Weinberg type sum rules at zero and finite temperature

Kapusta, Joseph I.; Shuryak, Edward V.

doi:10.1103/PhysRevD.49.4694

Weinberg type sum rules at zero and finite temperature

Oct, 1993

33 pages

Published in:

Phys.Rev.D 49 (1994) 4694-4704

e-Print:

hep-ph/9312245 [hep-ph]

DOI:

10.1103/PhysRevD.49.4694

Report number:

NSF-ITP-93-127,
NUC-MINN-93-25-T,
SUNY-NTG-93-45

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Abstract: (cern)

We consider sum rules of the Weinberg type at zero and nonzero temperatures. On the basis of the operator product expansion at zero temperature we obtain a new sum rule which involves the average of a four-quark operator on one side and experimentally measured spectral densities on the other. We further generalize the sum rules to finite temperature. These involve transverse and longitudinal spectral densities at each value of the momentum. Various scenarios for the relation between chiral symmetry restoration and these finite temperature sum rules are discussed.

quantum chromodynamics: sum rule
temperature: 0
finite temperature
operator product expansion
symmetry: chiral
current algebra
numerical calculations: interpretation of experiments

References(27)

Figures(0)

Precise relations between the spectra of vector and axial vector mesons

Steven Weinberg
(
- UC, Berkeley
)

- Phys.Rev.Lett. 18 (1967) 507-509
•
DOI:
- 10.1103/PhysRevLett.18.507

QCD and Resonance Physics. Theoretical Foundations

- Nucl.Phys.B 147 (1979) 385-447
•
DOI:
- 10.1016/0550-3213(79)90022-1

On the Laplace Transform of the Weinberg Type Sum Rules and on the Properties of Pseudoscalar Mesons

Stephan Narison
(
- Annecy, LAPP
)

- Z.Phys.C 14 (1982) 263
•
DOI:
- 10.1007/BF01571825

A Phenomenological Analysis of the Weinberg Sum Rules and of the $\pi^+ \pi^0$ Mass Difference

R.D. Peccei
(
- DESY
)
,
J. Sola
(
- DESY
)

- Nucl.Phys.B 281 (1987) 1-17
•
DOI:
- 10.1016/0550-3213(87)90244-6

Spectrum of the Hot Hadronic Matter and Finite Temperature QCD Sum Rules

A.I. Bochkarev
(
- Moscow, INR
)
,
M.E. Shaposhnikov
(
- Moscow, INR
)

- Nucl.Phys.B 268 (1986) 220-252
•
DOI:
- 10.1016/0550-3213(86)90209-9

Scaling effective Lagrangians in a dense medium

G.E. Brown
(
- SUNY, Stony Brook
)
,
Mannque Rho
(
- Saclay
)

- Phys.Rev.Lett. 66 (1991) 2720-2723
•
DOI:
- 10.1103/PhysRevLett.66.2720

Collective interaction of mesons in hot hadronic matter

Edward V. Shuryak
(
- SUNY, Stony Brook
)

- Nucl.Phys.A 533 (1991) 761-788
•
DOI:
- 10.1016/0375-9474(91)90543-F

Finite temperature QCD sum rules reexamined: rho, omega and A1 mesons

Tetsuo Hatsuda
(
- Washington U., Seattle
)
,
Yuji Koike
(
- Maryland U.
)
,
Su-Houng Lee
(
- Yonsei U.
)

- Nucl.Phys.B 394 (1993) 221-266
•
DOI:
- 10.1016/0550-3213(93)90107-Z

Masses of vector and axial vector mesons at finite temperature

Chungsik Song
(
- Minnesota U.
)

- Phys.Rev.D 48 (1993) 1375-1389
•
DOI:
- 10.1103/PhysRevD.48.1375

Correlation functions in the QCD vacuum

Edward V. Shuryak
(
- SUNY, Stony Brook
)

- Rev.Mod.Phys. 65 (1993) 1-46
•
DOI:
- 10.1103/RevModPhys.65.1

Phenomenology of the Chiral Phase Transition

Robert D. Pisarski
(
- Santa Barbara, KITP
)

- Phys.Lett.B 110 (1982) 155-158
•
DOI:
- 10.1016/0370-2693(82)91025-5

Spectral Function Sum Rules in Quantum Chromodynamics. 1. Charged Currents Sector

Emmanuel G. Floratos
(
- CERN and
- Marseille U., Luminy
)
,
Stephan Narison
(
- Provence U. and
- Marseille U., Luminy
)
,
Eduardo de Rafael
(
- Marseille U., Luminy
)

- Nucl.Phys.B 155 (1979) 115-149
•
DOI:
- 10.1016/0550-3213(79)90359-6

- Phys.Rev.Lett. 70 225

The Role of Instantons in Quantum Chromodynamics. 2. Hadronic Structure

Edward V. Shuryak
(
- Novosibirsk, IYF
)

- Nucl.Phys.B 203 (1982) 116-139
•
DOI:
- 10.1016/0550-3213(82)90479-5

Finite width corrections to the vector meson dominance prediction for $\rho \to e^+ e^-$

G.J. Gounaris
(
- Chicago U., EFI
)
,
J.J. Sakurai
(
- Chicago U., EFI
)

- Phys.Rev.Lett. 21 (1968) 244-247
•
DOI:
- 10.1103/PhysRevLett.21.244

Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle

Gerard 't Hooft
(
- Harvard U.
)

- Phys.Rev.D 14 (1976) 3432-3450,
- Phys.Rev.D 18 (1978) 2199 (erratum),
•
DOI:
- 10.1103/PhysRevD.14.3432

Vector dominance model at finite temperature

Charles Gale
(
- McGill U.
)
,
Joseph I. Kapusta
(
- Minnesota U.
)

- Nucl.Phys.B 357 (1991) 65-89,
- Nucl.Phys.B 357 (1991) 65-89
•
DOI:
- 10.1016/0550-3213(91)90459-B

The a1 in tau Decay

- Phys.Rev.D 39 (1989) 1357,
- IN *TORONTO 1988, PROCEEDINGS, PROGRESS IN THEORETICAL PHYSICS* 56-75.
•
DOI:
- 10.1103/PhysRevD.39.1357

Electricity, Gravity, and Cosmology

G. Gamow
(
- Colorado U.
)

- Phys.Rev.Lett. 19 (1967) 759-761
•
DOI:
- 10.1103/PhysRevLett.19.759

Symmetry, superconvergence, and sum rules for spectral functions

- Phys.Rev.Lett. 18 (1967) 761-764
•
DOI:
- 10.1103/PhysRevLett.18.761

Theory of Power Corrections to Deep Inelastic Scattering in Quantum Chromodynamics. 1. Q**2 Effects

- Nucl.Phys.B 199 (1982) 451-481
•
DOI:
- 10.1016/0550-3213(82)90355-8

Twist Four in Electroproduction: Canonical Operators and Coefficient Functions

R.L. Jaffe
(
- MIT, LNS
)
,
M. Soldate
(
- MIT, LNS
)

- Phys.Rev.D 26 (1982) 49-68
•
DOI:
- 10.1103/PhysRevD.26.49

Mixing of vector and axial mesons at finite temperature: an Indication towards chiral symmetry restoration

- Phys.Lett.B 252 (1990) 620-624,
- Phys. Lett. B252 (1990) 620-624 and Moscow Inst. Theor. Exp. Phys. - ITEF-90-119 (90/10,rec.Feb.91) 9 p.
•
DOI:
- 10.1016/0370-2693(90)90495-R

On the current correlators in QCD at finite temperature

V.L. Eletsky
(
- Minnesota U.
)
,
B.L. Ioffe
(
- Moscow, ITEP
)

- Phys.Rev.D 47 (1993) 3083-3085
•
e-Print:
- hep-ph/9302298
•
DOI:
- 10.1103/PhysRevD.47.3083

Light Quarks at Low Temperatures

J. Gasser
(
- Bern U.
)
,
H. Leutwyler
(
- Bern U.
)

- Phys.Lett.B 184 (1987) 83-88
•
DOI:
- 10.1016/0370-2693(87)90492-8

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