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

Quark propagator and Polyakov loop are measured in a singular(monopole) and a regular(photon) part of an abelian sector defined through maximal abelian projection from SU(2) gauge field at finite temperature. Both the abelian field and the singular part clearly show the feature of chiral breaking/restoration at low/high β 's in terms of quark condensates (quench staggered quark) and confinement/deconfinement behavior in the Polyakov loop. On the other hand, in the regular part, no indication of chiral breaking is seen and color is deconfined even in a region below β c SU(2)

talk: Bielefeld 1994/09/27
gauge field theory: SU(2)
lattice field theory
finite temperature
gauge: abelian
symmetry breaking: chiral
quark: propagator
Polyakov loop
monopole: condensation
quark: condensation

References(16)

Figures(0)

[1]

Chiral Symmetry Breaking in Confining Theories

Tom Banks
(
- Tel Aviv U.
)
,
A. Casher
(
- Tel Aviv U.
)

- Nucl.Phys.B 169 (1980) 103-125
•
DOI:
- 10.1016/0550-3213(80)90255-2

[2]

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

[3]

High Energy Physics

A. Zichichi
,
G. tHooft

[4]

S. Mandelstam

- Phys.Rept.C 23 (1976) 245

[5]

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

[6]

Can monopoles alone reproduce the string tension also in SU(2) lattice QCD?

et al.

- Nucl.Phys.B Proc.Suppl. 30 (1993) 561-564,
- Amsterdam Lattice 1992:0561-564
•
DOI:
- 10.1016/0920-5632(93)90273-9

[7]

Monopole condensation and confinement in SU(2) QCD. 1.

Hiroshi Shiba
(
- Kanazawa U.
)
,
Tsuneo Suzuki
(
- Kanazawa U.
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 182-188,
- In *Dallas 1993, Proceedings, Lattice '93* 182-188
•
e-Print:
- hep-lat/9310010
•
DOI:
- 10.1016/0920-5632(94)90339-5

[8]

in this proceedings

E. de Giacomo

[9]

Sasaki and Toki, preprint RIKEN-AF-NP-194

H.Suganuma

[10]

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

[11]

in this proceedings

Y.Matsubara

[12]

preprint KANAZAWA 94-15

T. Suzuki

[13]

Topological Excitations and Monte Carlo Simulation of Abelian Gauge Theory

Thomas A. DeGrand
(
- UC, Santa Barbara
)
,
Doug Toussaint
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)

- Phys.Rev.D 22 (1980) 2478,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 194-205. ( Phys. Rev. D22 ( 1980) 2478-2489) and Calif. Univ. Santa Barbara - UCSB-TH-80-22 (80,REC.JUL.) 51 P. (007268) (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevD.22.2478

[14]

Ph.de Forcrand, in this proceeding

[15]

A Straightforward way to evaluate some critical parameters in SU(2) lattice gauge theory

J. Engels
(
- Bielefeld U.
)

- Nucl.Phys.B Proc.Suppl. 30 (1993) 347-350,
- In *Amsterdam 1992, Proceedings, Lattice 92* 347-350. (Nucl. Phys. B, Proc. Suppl. 30 (1993) 347-350)
•
DOI:
- 10.1016/0920-5632(93)90224-T

[16]

A possible evidence for Abelian dominance in quark confinement

Tsuneo Suzuki
(
- Kanazawa U.
)
,
Ichiro Yotsuyanagi
(
- Kanazawa Medical U.
)

- Phys.Rev.D 42 (1990) 4257-4260
•
DOI:
- 10.1103/PhysRevD.42.4257