The Chiral phase transition of hot QCD from the exact renormalization group - INSPIRE

DataBETA

The Chiral phase transition of hot QCD from the exact renormalization group

Nov, 2003

20 pages

Published in:

Prog.Theor.Phys. 115 (2006) 165-188

e-Print:

hep-ph/0311109 [hep-ph]

DOI:

10.1143/PTP.115.165

View in:

ADS Abstract Service

reference search4 citations

Citations per year

Abstract:

The chiral phase transition of the finite temperature QCD is discussed in the ladder approximated Exact (Wilson's) Renormalization Group (ERG). The gluon thermal mass is incorporated by the Hard Thermal Loop (HTL) approximation. We calculated a critical temperature

T_c

, a critical exponent

\nu

, and order parameters such as chiral condensate

<\bar{\psi}\psi>

and pion decay constants with this approximation. The dependences of the pion decay constants on an unphysical parameter are fairly improved by including contributions from momentum dependent vertices. The critical temperature was found as:

T_c\approx 124

MeV for 3-flavors. It was shown that the critical temperature considerably depends on the approximation scheme for the gluon thermal mass term. We also calculated the temperature dependence of the chiral condensate,

\pi

decay constants, and the pion velocity.

quantum chromodynamics
finite temperature
critical phenomena: chiral
renormalization group
ladder approximation
hard thermal loop approximation
condensation: chiral
pi: decay constant
pi: velocity
gluon: mass

References(58)

Figures(0)

[1]

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.

Yoichiro Nambu
(
- Chicago U., EFI
)
,
G. Jona-Lasinio
(
- Chicago U., EFI
)

- Phys.Rev. 122 (1961) 345-358,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 104-117,
•
DOI:
- 10.1103/PhysRev.122.345

[1]

Spontaneous Symmetry Breaking in Vector-Gluon Model

Toshihide Maskawa
(
- Kyoto U.
)
,
Hideo Nakajima
(
- Kyoto U.
)

- Prog.Theor.Phys. 52 (1974) 1326-1354
•
DOI:
- 10.1143/PTP.52.1326

[1]

Schwinger-Dyson Equation for Massless Vector Theory and Absence of Fermion Pole

- Nucl.Phys.B 117 (1976) 250-264
•
DOI:
- 10.1016/0550-3213(76)90572-1

[1]

Dynamics of Spontaneous Chiral Symmetry Breaking and Continuum Limit in Quantum Electrodynamics

V.A. Miransky
(
- BITP, Kiev
)

- Nuovo Cim.A 90 (1985) 149-170
•
DOI:
- 10.1007/BF02724229

[2]

Critical Line and Dilaton in Scale Invariant QED

- Phys.Rev.D 39 (1989) 2430
•
DOI:
- 10.1103/PhysRevD.39.2430

EFFECTIVE FOUR FERMION INTERACTIONS AND CHIRAL SYMMETRY BREAKING

- Johns Hopkins Workshop 1988:0197

[2]

The Dilaton and Chiral Symmetry Breaking

William A. Bardeen
(
- Fermilab
)
,
Chung Ngoc Leung
(
- Fermilab and
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)

- Phys.Rev.Lett. 56 (1986) 1230
•
DOI:
- 10.1103/PhysRevLett.56.1230

[2]

Spontaneous Symmetry Breaking in Scale Invariant Quantum Electrodynamics

Chung Ngoc Leung
(
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)
,
William A. Bardeen
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 273 (1986) 649-662
•
DOI:
- 10.1016/0550-3213(86)90382-2

[3]

Dyson-Schwinger equations: Density, temperature and continuum strong QCD

Craig D. Roberts
(
- Argonne, PHY
)
,
Sebastian M. Schmidt
(
- Argonne, PHY
)

- Prog.Part.Nucl.Phys. 45 (2000) S1-S103
•
e-Print:
- nucl-th/0005064
•
DOI:
- 10.1016/S0146-6410(00)90011-5

[4]

Dynamical symmetry breaking in quantum field theories 533p

V.A. Miransky

[5]

ON THE QUARK EFFECTIVE MASS IN QCD. (IN RUSSIAN)

V.A. Miransky
(
- BITP, Kiev
)

- Sov.J.Nucl.Phys. 38 (1983) 280,
- Yad.Fiz. 38 (1983) 468-475,
- Yad. Fiz. 38 ( 1983) 468-475

[5]

Dynamical Chiral Symmetry Breaking

Kiyoshi Higashijima
(
- Minnesota U.
)

- Phys.Rev.D 29 (1984) 1228
•
DOI:
- 10.1103/PhysRevD.29.1228

[6]

Meson properties from the ladder Bethe-Salpeter equation

Ken-Ichi Aoki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Taichiro Kugo
(
- Kyoto U.
)
,
Mark G. Mitchard
(
- Kyoto U.
)

- Phys.Lett.B 266 (1991) 467-472
•
DOI:
- 10.1016/0370-2693(91)91071-3

[6]

Calculating the decay constant f(pi)

Ken-Ichi Aoki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Masako Bando
(
- Aichi U.
)
,
Taichiro Kugo
(
- Kyoto U.
)
,
Mark G. Mitchard
(
- Kyoto U.
)
,
Hajime Nakatani
(
- Nagoya U.
)

- Prog.Theor.Phys. 84 (1990) 683-701
•
DOI:
- 10.1143/PTP.84.683

[7]

Asymptotics of the pseudoscalar Bethe-Salpeter amplitude

Ken-Ichi Aoki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Masako Bando
(
- Aichi U.
)
,
Taichiro Kugo
(
- Kyoto U.
)
,
Mark G. Mitchard
(
- Kyoto U.
)

- Prog.Theor.Phys. 85 (1991) 355-370
•
DOI:
- 10.1143/PTP.85.355

[8]

Finite temperature and density QED: Schwinger-Dyson equation in the real time formalism

Kei-ichi Kondo
(
- Chiba U.
)
,
Kazuhiro Yoshida
(
- Chiba U.
)

- Int.J.Mod.Phys.A 10 (1995) 199-232
•
e-Print:
- hep-th/9304018
•
DOI:
- 10.1142/S0217751X95000103

[8]

Structure of chiral phase transitions at finite temperature in Abelian gauge theories

- Prog.Theor.Phys. 105 (2001) 979-998
•
e-Print:
- hep-ph/9910305
•
DOI:
- 10.1143/PTP.105.979

[9]

Chiral phase transitions in QED at finite temperature: Dyson-Schwinger equation analysis in the real time hard thermal loop approximation

- Prog.Theor.Phys. 110 (2003) 777-789
•
e-Print:
- hep-ph/0212362
•
DOI:
- 10.1143/PTP.110.777

[10]

Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Yusuke Taniguchi
(
- Kyoto U.
)
,
Yuhsuke Yoshida
(
- Kyoto U.
)

- Phys.Rev.D 55 (1997) 2283-2289
•
e-Print:
- hep-ph/9512375
•
DOI:
- 10.1103/PhysRevD.55.2283

[11]

M. Harada
,
A. Shibata

- Phys.Rev.D 59 (1999) 4010

[12]

O. Kiriyama
,
M. Maruyama
,
F. Takagi

- Phys.Rev.D 62 (2000) 5008

[13]

Phase structure of hot and / or dense QCD with the Schwinger-Dyson equation

Satoshi Takagi
(
- Nagoya U.
)

- Prog.Theor.Phys. 109 (2003) 233-263
•
e-Print:
- hep-ph/0210227
•
DOI:
- 10.1143/PTP.109.233

[14]

N point vertex functions, Ward-Takahashi identities and Dyson-Schwinger equations in thermal QCD / QED in the real time hard thermal loop approximation

- Prog.Theor.Phys. 107 (2002) 759-784
•
e-Print:
- hep-ph/0111275
•
DOI:
- 10.1143/PTP.107.759

[15]

K-I. Aoki
,
K. Morikawa
,
J-I. Sumi
,
H. Terao
,
M. Tomoyose

- Phys.Rev.D 61 (2000) 5008

[16]

Landau Gauge Peculiarity in {QED} Schwinger-dyson Equation

Ken-Ichi Aoki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Masako Bando
(
- Aichi U.
)
,
Taichiro Kugo
(
- Kyoto U.
)
,
Katsuya Hasebe
(
- Aichi U.
)
,
Hajime Nakatani
(
- Nagoya U.
)

- Prog.Theor.Phys. 81 (1989) 866
•
DOI:
- 10.1143/PTP.81.866

1-25 of 58
1
2
3
25 / page