Role of dual Higgs mechanism in chiral phase transition at finite temperature

The chiral phase transition at finite temperature is studied by using the Schwinger-Dyson equation in the dual Ginzburg-Landau theory, in which the dual Higgs mechanism plays an essential role on both the color confinement and the spontaneous chiral-symmetry breaking. At zero temperature, the quark condensate is strongly correlated with the string tension, which is generated by QCD-monopole condensation, as

\langle {\bar q}q \rangle~{1/3} \stackrel{\propto}{\scriptstyle \sim} \sqrt{\sigma}

. In order to solve the finite-temperature Schwinger-Dyson equation numerically, we provide a new ansatz for the quark self-energy in the imaginary-time formalism. The recovery of the chiral symmetry is found at high temperature;

T_{_{C}}\sim 100{\rm MeV}

with realistic parameters. We find also a strong correlation between the critical temperature

T_{_{C}}

of the chiral symmetry restoration and the strength of the string tension.

Note:

12 pages, revtex (4 figures - available on request from ssasaki@rcnp.osaka-u.ac.jp)

critical phenomena: chiral
finite temperature
Dyson-Schwinger equation
Landau-Ginzburg model: duality
spontaneous symmetry breaking
Higgs mechanism
quark: condensation
string tension
propagator: renormalization
numerical calculations

References(25)

Figures(0)

Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories

Gerard 't Hooft
(
- Caltech
)

- Nucl.Phys.B 190 (1981) 455-478
•
DOI:
- 10.1016/0550-3213(81)90442-9

Topology and Dynamics of the Confinement Mechanism

Andreas S. Kronfeld
(
- DESY
)
,
G. Schierholz
(
- Kiel U. and
- DESY
)
,
U.J. Wiese
(
- Hamburg U.
)

- Nucl.Phys.B 293 (1987) 461-478
•
DOI:
- 10.1016/0550-3213(87)90080-0

Abelian dominance in SU(2) color confinement

et al.

- Phys.Lett.B 272 (1991) 326-332,
- Phys.Lett.B 281 (1992) 416 (erratum)
•
DOI:
- 10.1016/0370-2693(91)91838-M

Deconfinement transition and monopoles in T does not = 0 SU(2) QCD

Shun-ichi Kitahara
(
- Kanazawa U.
)
,
Yoshimi Matsubara
(
- Nanao Jr. Coll.
)
,
Tsuneo Suzuki
(
- Kanazawa U.
)

- Prog.Theor.Phys. 93 (1995) 1-18
•
e-Print:
- hep-lat/9411036
•
DOI:
- 10.1143/PTP.93.1

Strings, Monopoles and Gauge Fields

Yoichiro Nambu
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.D 10 (1974) 4262,
•
DOI:
- 10.1103/PhysRevD.10.4262

Vortex Line Models for Dual Strings

Holger Bech Nielsen
(
- Bohr Inst.
)
,
P. Olesen
(
- Bohr Inst.
)

- Nucl.Phys.B 61 (1973) 45-61,
•
DOI:
- 10.1016/0550-3213(73)90350-7

A Ginzburg-Landau Type Theory of Quark Confinement

Tsuneo Suzuki
(
- Rio de Janeiro, Pont. U. Catol. and
- Kanazawa U.
)

- Prog.Theor.Phys. 80 (1988) 929
•
DOI:
- 10.1143/PTP.80.929

Abelian Confinement Mechanism in {QCD}

Tsuneo Suzuki
(
- Rio de Janeiro, Pont. U. Catol. and
- Kanazawa U.
)

- Prog.Theor.Phys. 81 (1989) 752
•
DOI:
- 10.1143/PTP.81.752

An Infrared Effective Theory of Quark Confinement Based on Monopole Condensation

Shinji Maedan
(
- Kanazawa U.
)
,
Tsuneo Suzuki
(
- Kanazawa U. and
- Rio de Janeiro, Pont. U. Catol.
)

- Prog.Theor.Phys. 81 (1989) 229-240,
- PROG. THEOR. PHYS. 81 (1989) 229-240 AND KANAZAWA UNIV. - DPKU-8804 (88,REC.NOV.) 22p
•
DOI:
- 10.1143/PTP.81.229

Color confinement, quark pair creation and dynamical chiral symmetry breaking in the dual Ginzburg-Landau theory

H. Suganuma
(
- Wako, RIKEN
)
,
S. Sasaki
(
- Tokyo Metropolitan U.
)
,
H. Toki
(
- Wako, RIKEN and
- Tokyo Metropolitan U.
)

- Nucl.Phys.B 435 (1995) 207-240
•
e-Print:
- hep-ph/9312350
•
DOI:
- 10.1016/0550-3213(94)00392-R

Abelian Dominance and Quark Confinement in Yang-Mills Theories

Z.F. Ezawa
(
- Tohoku U.
)
,
A. Iwazaki
(
- Tohoku U.
)

- Phys.Rev.D 25 (1982) 2681,
- SENDAI TOHOKU UNIV. - TU-81-229 (81,REC.AUG.) 11P.
•
DOI:
- 10.1103/PhysRevD.25.2681

Abelian Dominance and Quark Confinement in {Yang-Mills} Theories. 2. Oblique Confinement and $\eta^\prime$ Mass

Z.F. Ezawa
(
- Tohoku U.
)
,
A. Iwazaki
(
- Tohoku U.
)

- Phys.Rev.D 26 (1982) 631
•
DOI:
- 10.1103/PhysRevD.26.631

Magnetic monopole condensation for confinement and chiral symmetry breaking

H. Toki
(
- Wako, RIKEN and
- Tokyo Metropolitan U.
)
,
H. Suganuma
(
- Wako, RIKEN
)
,
S. Sasaki
(
- Tokyo Metropolitan U.
)

- Nucl.Phys.A 577 (1994) 353-360
•
DOI:
- 10.1016/0375-9474(94)90880-X

Dual Higgs mechanism for quarks in hadrons

- Prog.Theor.Phys.Suppl. 120 (1995) 57-74
•
e-Print:
- hep-ph/9502279
•
DOI:
- 10.1143/PTPS.120.57

Dual Ginzburg-Landau theory with QCD monopoles for dynamical chiral symmetry breaking

Shoichi Sasaki
(
- Tokyo Metropolitan U.
)
,
Hideo Suganuma
(
- Wako, RIKEN
)
,
Hiroshi Toki
(
- Tokyo Metropolitan U. and
- Wako, RIKEN
)

- Prog.Theor.Phys. 94 (1995) 373-384
•
DOI:
- 10.1143/PTP.94.373

Abelian dominance of chiral symmetry breaking on SU(2) lattice

O. Miyamura
(
- Hiroshima U.
)

- Nucl.Phys.B Proc.Suppl. 42 (1995) 538-540,
- Nucl. Phys. B, Proc. Suppl. 42 (1995) 538-540. In *Bielefeld 1994, lattice 94* 538-540
•
DOI:
- 10.1016/0920-5632(95)00305-S