Towards a topological mechanism of quark confinement

We report on new analyses of the topological and chiral vacuum structure of four-dimensional QCD on the lattice. Correlation functions as well as visualization of monopole currents in the maximally Abelian gauge emphasize their topological origin and gauge invariant characterization. The (anti)selfdual character of strong vacuum fluctuations is reveiled by smoothing. In full QCD, (anti)instanton positions are also centers of the local chiral condensate and quark charge density. Most results turn out generically independent of the action and the cooling/smoothing method.

talk: Kyoto 1997/12/02
lattice field theory
quantum chromodynamics
vacuum state: fluctuation
quark: confinement
correlation function
current: monopole
instanton
charge: topological
condensation: chiral

References(33)

Figures(0)

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

Toward a Theory of the Strong Interactions

- Phys.Rev.D 17 (1978) 2717,
•
DOI:
- 10.1103/PhysRevD.17.2717

A Theory of Hadronic Structure

- Phys.Rev.D 19 (1979) 1826
•
DOI:
- 10.1103/PhysRevD.19.1826

The Effect of Instantons on the Heavy Quark Potential

- Phys.Rev.D 18 (1978) 4684
•
DOI:
- 10.1103/PhysRevD.18.4684

Instantons in QCD

- Rev.Mod.Phys. 70 (1998) 323-426
•
e-Print:
- hep-ph/9610451
•
DOI:
- 10.1103/RevModPhys.70.323

Abelian projections and monopoles

M.N. Chernodub
(
- Moscow, ITEP
)
,
M.I. Polikarpov
(
- Moscow, ITEP
)

- ,
- In *Cambridge 1997, Confinement, duality, and nonperturbative aspects of QCD* 387-414
•
e-Print:
- hep-th/9710205

Various representations of infrared effective lattice QCD

et al.

- Nucl.Phys.B Proc.Suppl. 63 (1998) 471-473,
•
e-Print:
- hep-lat/9709092
•
DOI:
- 10.1016/S0920-5632(97)00805-0

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

- Phys.Lett.B 387 (1996) 145-150
•
e-Print:
- hep-ph/9606313
•
DOI:
- 10.1016/0370-2693(96)01020-9

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

GENERAL INTRODUCTION TO CONFINEMENT

S. Mandelstam
(
- Ecole Normale Superieure and
- UC, Berkeley
)

- Phys.Rept. 67 (1980) 109,
- Les Houches Winter Sch.1980:109,
- In *Gervais, J.l. ( Ed.), Jacob, M. ( Ed.): Non-linear and Collective Phenomena In Quantum Physics*, 429-441. ( Phys. Rep. 67 ( 1980) 109-121)
•
DOI:
- 10.1016/0370-1573(80)90083-6

Correlations of topological objects and quarks in hadrons

- Phys.Rev.D 54 (1996) 3457-3464
•
DOI:
- 10.1103/PhysRevD.54.3457

Instantons and monopoles are locally correlated with the chiral condensate

S. Thurner
(
- Boston U.
)
,
M.C. Feurstein
(
- Boston U. and
- Vienna, Tech. U.
)
,
H. Markum
(
- Vienna, Tech. U.
)

- Phys.Rev.D 56 (1997) 4039-4042
•
DOI:
- 10.1103/PhysRevD.56.4039

Coexistence of monopoles and instantons for different topological charge definitions and lattice actions

M. Feurstein
(
- Vienna, Tech. U. and
- Boston U.
)
,
H. Markum
(
- Vienna, Tech. U.
)
,
S. Thurner
(
- Vienna, Tech. U. and
- Boston U.
)

- Phys.Lett.B 396 (1997) 203-209
•
e-Print:
- hep-lat/9702004
•
DOI:
- 10.1016/S0370-2693(97)00127-5

Instantons and monopoles in maximal Abelian projection of SU(2) gluodynamics

M.N. Chernodub
(
- Moscow, ITEP and
- Moscow, MIPT
)
,
F.V. Gubarev
(
- Moscow, ITEP and
- Moscow, MIPT
)

- JETP Lett. 62 (1995) 100-104
•
e-Print:
- hep-th/9506026

Instantons in the maximally Abelian gauge

- Nucl.Phys.B Proc.Suppl. 53 (1997) 488-490,
- Lattice 96:488-490
•
e-Print:
- hep-lat/9608012
•
DOI:
- 10.1016/S0920-5632(96)00695-0

Magnetic monopole loop for the Yang-Mills instanton

- Phys.Rev.D 55 (1997) 6313-6326
•
e-Print:
- hep-th/9610101
•
DOI:
- 10.1103/PhysRevD.55.6313

Instantons or monopoles? Dyons

V. Bornyakov
(
- Serpukhov, IHEP
)
,
G. Schierholz
(
- DESY and
- Julich, NIC
)

- Phys.Lett.B 384 (1996) 190-196,
- Phys.Lett.B 384 (1996) 190-196
•
e-Print:
- hep-lat/9605019
•
DOI:
- 10.1016/0370-2693(96)00796-4

Topological structure in the SU(2) vacuum

- Nucl.Phys.B 505 (1997) 417-441
•
e-Print:
- hep-lat/9705009
•
DOI:
- 10.1016/S0550-3213(97)00480-X

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

U-A(1) anomaly in background fields dominated by QCD monopoles on SU(2) lattice

e-Print:
- hep-lat/9706001

Existence of chiral asymmetric zero modes in the background of QCD monopoles

S. Sasaki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
O. Miyamura
(
- Hiroshima U.
)

- Nucl.Phys.B Proc.Suppl. 63 (1998) 507-509,
•
e-Print:
- hep-lat/9709070
•
DOI:
- 10.1016/S0920-5632(97)00816-5

- Nucl.Phys.B 454 578

Nonperturbative tests of the fixed point action for SU(3) gauge theory

- Nucl.Phys.B 454 (1995) 615-637
•
e-Print:
- hep-lat/9506031
•
DOI:
- 10.1016/0550-3213(95)00459-6

Topology at the deconfinement transition uncovered by inverse blocking in SU(2) pure gauge theory with fixed point action

M. Feurstein
(
- Humboldt U., Berlin
)
,
Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin
)
,
M. Muller-Preussker
(
- Humboldt U., Berlin
)
,
S. Thurner
(
- Humboldt U., Berlin
)

- Nucl.Phys.B 511 (1998) 421-447
•
e-Print:
- hep-lat/9611024
•
DOI:
- 10.1016/S0550-3213(97)00738-4

Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: An Analysis using RG smoothing

Ernst-Michael Ilgenfritz
(
- Humboldt U., Berlin and
- Kanazawa U.
)
,
H. Markum
(
- Vienna, Tech. U.
)
,
M. Muller-Preussker
(
- Humboldt U., Berlin
)
,
S. Thurner
(
- Humboldt U., Berlin and
- Vienna, Tech. U.
)

- Phys.Rev.D 58 (1998) 094502
•
e-Print:
- hep-lat/9801040
•
DOI:
- 10.1103/PhysRevD.58.094502

1-25 of 33
1
2
25 / page