Perfect monopole action for infrared SU(2) QCD

Kato, S.; Nakamura, N.; Suzuki, T.; Kitahara, S.

doi:10.1016/S0550-3213(98)00175-8

Perfect monopole action for infrared SU(2) QCD

1998

22 pages

Published in:

Nucl.Phys.B 520 (1998) 323-344

DOI:

10.1016/S0550-3213(98)00175-8

reference search47 citations

Citations per year

Abstract: (Elsevier)

Performing block-spin transformations on the dual lattice after abelian projection, we obtain an almost perfect lattice action in terms of monopole currents in the infrared region of pure SU (2) QCD. The action depends only on a physical scale b and is free from a cut-off a ( β ). It reproduces analytically the string tension which is near the physical one for a wide physical-scale region (b ⩾ 1.0(κ −1 2 )) .

12.38.Gc
11.10.Hi
Lattice SU (2) QCD
Perfect action
Block-spin transformation
Abelian projection
Abelian monopole
Dual transformation
Lattice SU(2) QCD
lattice field theory: action

References(56)

Figures(0)

[1]

Proceedings of NATO ASI on Confinement

P. Weisz

[2]

Proceedings of NATO ASI on Confinement

P. Lepage

[3]

Proceedings of NATO ASI on Confinement

P. Hasenfratz

[4]

Search for effective lattice action of pure QCD

QCD-TARO

Collaboration

•

P. de Forcrand
(
- Zurich, ETH
)

et al.

- Nucl.Phys.B Proc.Suppl. 53 (1997) 938-941,
- Lattice 96:938-941
•
e-Print:
- hep-lat/9608094
•
DOI:
- 10.1016/S0920-5632(96)00820-1

[5]

Perfect lattice action for asymptotically free theories

P. Hasenfratz
(
- Bern U.
)
,
F. Niedermayer
(
- Bern U.
)

- Nucl.Phys.B 414 (1994) 785-814
•
e-Print:
- hep-lat/9308004
•
DOI:
- 10.1016/0550-3213(94)90261-5

[5]

Analytic results - selected nonstochastic developments on the lattice

P. Hasenfratz
(
- Bern U.
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 3-14,
- In *Dallas 1993, Proceedings, Lattice '93* 3-14
•
DOI:
- 10.1016/0920-5632(94)90316-6

[5]

Perfect lattice action for asymptotically free theories

F. Niedermayer
(
- Bern U.
)

- Nucl.Phys.B Proc.Suppl. 34 (1994) 513-515,
- In *Dallas 1993, Proceedings, Lattice '93* 513-515
•
DOI:
- 10.1016/0920-5632(94)90433-2

[6]

The Classically perfect fixed point action for SU(3) gauge theory

- Nucl.Phys.B 454 (1995) 587-614
•
e-Print:
- hep-lat/9506030
•
DOI:
- 10.1016/0550-3213(95)00458-5

[6]

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

[6]

Fixed point actions for SU(3) gauge theory

- Phys.Lett.B 365 (1996) 233-238
•
e-Print:
- hep-lat/9508024
•
DOI:
- 10.1016/0370-2693(95)01233-8

[6]

Instantons and fixed point actions in SU(2) gauge theory

- Nucl.Phys.B 475 (1996) 321-338
•
e-Print:
- hep-lat/9603015
•
DOI:
- 10.1016/0550-3213(96)00301-X

[7]

Perfect lattice topology: The Quantum rotor as a test case

- Phys.Lett.B 407 (1997) 283-289
•
e-Print:
- hep-lat/9704015
•
DOI:
- 10.1016/S0370-2693(97)00742-9

[8]

Continuum Limit and Improved Action in Lattice Theories. 1. Principles and $\varphi^4$ Theory

K. Symanzik
(
- DESY
)

- Nucl.Phys.B 226 (1983) 187-204
•
DOI:
- 10.1016/0550-3213(83)90468-6

[8]

Continuum Limit and Improved Action in Lattice Theories. 2. O(N) Nonlinear Sigma Model in Perturbation Theory

K. Symanzik
(
- DESY
)

- Nucl.Phys.B 226 (1983) 205-227
•
DOI:
- 10.1016/0550-3213(83)90469-8

[9]

The Static Quark Anti-quark Potential With Renormalization Group Improved Lattice Action

- Phys.Rev.D 33 (1986) 1806
•
DOI:
- 10.1103/PhysRevD.33.1806

[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]

Monopole Condensation and Color Confinement

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

- Phys.Lett.B 198 (1987) 516-520
•
DOI:
- 10.1016/0370-2693(87)90910-5

[11]

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

[12]

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

[12]

Abelian projection of QCD and Abelian Wilson loops

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

- Nucl.Phys.B Proc.Suppl. 20 (1991) 236-239,
- In *Tallahassee 1990, Proceedings, Lattice 90* 236-239 and Kanazawa Univ. - DPKU-9007 (90,rec.Nov.) 4 p
•
DOI:
- 10.1016/0920-5632(91)90917-4