Center vortices of Yang-Mills theory at finite temperatures

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson loop. This development has led to a revival of the vortex condensation theory of confinement. For a SU(2) gauge group, we show that also at finite temperatures, center vortices are the relevant collective infrared degrees of freedom determining the long-range static quark potential; in particular, their dynamics reflect the transition to the deconfining phase.

Note:

14 pages, 6 figures, numerics completely overhauled w.r.t. original version, physical conclusions unchanged Report-no: UNITU-THEP-5/98

lattice field theory
critical phenomena: confinement
finite temperature
vortex: polarization
gauge field theory: SU(2)
quark: potential
Polyakov loop
numerical calculations: Monte Carlo

References(23)

Figures(0)

Vortices and Quark Confinement in Nonabelian Gauge Theories

S. Mandelstam
(
- UC, Berkeley
)

- Phys.Rept. 23 (1976) 245-249,
- In *Gervais, J.L. (Ed.), Jacob, M. (Ed.): Non-linear and Collective Phenomena In Quantum Physics*, 12-16
•
DOI:
- 10.1016/0370-1573(76)90043-0

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

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

Recent results on the Abelian projection of lattice gluodynamics

M.I. Polikarpov
(
- Kanazawa U. and
- Moscow, ITEP
)

- Nucl.Phys.B Proc.Suppl. 53 (1997) 134-140,
- Lattice 96:134-140
•
e-Print:
- hep-lat/9609020
•
DOI:
- 10.1016/S0920-5632(96)00607-X

Center dominance and Z(2) vortices in SU(2) lattice gauge theory

L. Del Debbio
(
- Swansea U.
)
,
Manfried Faber
(
- Vienna, Tech. U.
)
,
J. Greensite
(
- San Francisco State U. and
- LBL, Berkeley
)
,
S. Olejnik
(
- Bratislava, Inst. Phys.
)

- Phys.Rev.D 55 (1997) 2298-2306
•
e-Print:
- hep-lat/9610005
•
DOI:
- 10.1103/PhysRevD.55.2298

Center dominance, center vortices, and confinement

L. Del Debbio
(
- Marseille, CPT
)
,
Manfried Faber
(
- Vienna, Tech. U.
)
,
J. Greensite
(
- Bohr Inst.
)
,
S. Olejnik
(
- Bratislava, Inst. Phys.
)

•
e-Print:
- hep-lat/9708023

Detection of center vortices in the lattice Yang-Mills vacuum

L. Del Debbio
(
- Southampton U.
)
,
Manfried Faber
(
- Vienna, Tech. U.
)
,
J. Giedt
(
- UC, Berkeley
)
,
J. Greensite
(
- Bohr Inst.
)
,
S. Olejnik
(
- Bratislava, Inst. Phys.
)

- Phys.Rev.D 58 (1998) 094501
•
e-Print:
- hep-lat/9801027
•
DOI:
- 10.1103/PhysRevD.58.094501

Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory

- Phys.Lett.B 419 (1998) 317-321
•
e-Print:
- hep-lat/9710068
•
DOI:
- 10.1016/S0370-2693(97)01435-4

Interaction of confining vortices in SU(2) lattice gauge theory

- Phys.Lett.B 431 (1998) 141-146
•
e-Print:
- hep-lat/9801030
•
DOI:
- 10.1016/S0370-2693(98)00583-8

On the Phase Transition Towards Permanent Quark Confinement

Gerard 't Hooft
(
- Utrecht U.
)

- Nucl.Phys.B 138 (1978) 1-25
•
DOI:
- 10.1016/0550-3213(78)90153-0

Instantons and Confinement

- Nucl.Phys.B 146 (1978) 256-272
•
DOI:
- 10.1016/0550-3213(78)90442-X

Quark Confinement and Vortices in Massive Gauge Invariant QCD

John M. Cornwall
(
- UCLA
)

- Nucl.Phys.B 157 (1979) 392-412
•
DOI:
- 10.1016/0550-3213(79)90111-1

Center vortices and confinement versus screening

John M. Cornwall
(
- UCLA
)

- Phys.Rev.D 57 (1998) 7589-7600
•
e-Print:
- hep-th/9712248
•
DOI:
- 10.1103/PhysRevD.57.7589

A Color Magnetic Vortex Condensate in QCD

Jan Ambjorn
(
- Bohr Inst.
)
,
P. Olesen
(
- Bohr Inst.
)

- Nucl.Phys.B 170 (1980) 265-282
•
DOI:
- 10.1016/0550-3213(80)90150-9

Confinement and Random Fields

P. Olesen
(
- Bern U. and
- Bohr Inst.
)

- Nucl.Phys.B 200 (1982) 381-390
•
DOI:
- 10.1016/0550-3213(82)90094-3

Monopoles, Vortices, and Confinement

G. Mack
(
- Hamburg U.
)
,
E. Pietarinen
(
- DESY and
- Helsinki U.
)

- Nucl.Phys.B 205 (1982) 141,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 399-425. ( Nucl. Phys. B205 |fs5| ( 1982) 141-167) and Hamburg Desy - DESY 81-067 (81,REC.OCT.) 41p
•
DOI:
- 10.1016/0550-3213(82)90381-9

Confinement via dynamical monopoles

E.T. Tomboulis
(
- UCLA
)

- Phys.Lett.B 303 (1993) 103-108
•
DOI:
- 10.1016/0370-2693(93)90051-I

Vortices and confinement at weak coupling

Tamas G. Kovacs
(
- Colorado U.
)
,
E.T. Tomboulis
(
- UCLA
)

- Phys.Rev.D 57 (1998) 4054-4062
•
e-Print:
- hep-lat/9711009
•
DOI:
- 10.1103/PhysRevD.57.4054

Symmetry Aspects of Finite Temperature Confinement Transitions

Benjamin Svetitsky
(
- Cornell U., LNS and
- MIT, LNS
)

- Phys.Rept. 132 (1986) 1-53,
- Phys. Rep. 132 ( 1986) 1-53
•
DOI:
- 10.1016/0370-1573(86)90014-1

- Phys.Rept. 132 423

High-Temperature Yang-Mills Theories and Three-Dimensional Quantum Chromodynamics

Thomas Appelquist
(
- Yale U.
)
,
Robert D. Pisarski
(
- Yale U.
)

- Phys.Rev.D 23 (1981) 2305
•
DOI:
- 10.1103/PhysRevD.23.2305

The Spatial string tension in the deconfined phase of the (3+1)-dimensional SU(2) gauge theory

G.S. Bali
(
- Wuppertal U.
)
,
J. Fingberg
(
- Florida State U., SCRI
)
,
Urs M. Heller
(
- Florida State U., SCRI
)
,
F. Karsch
(
- Julich, NIC and
- Bielefeld U.
)
,
K. Schilling
(
- Wuppertal U.
)

- Phys.Rev.Lett. 71 (1993) 3059-3062
•
e-Print:
- hep-lat/9306024
•
DOI:
- 10.1103/PhysRevLett.71.3059