A Static baryon in a dual Abelian effective theory of QCD

Kamizawa, Satoshi; Matsubara, Yoshimi; Shiba, Hiroshi; Suzuki, Tsuneo

doi:10.1016/0550-3213(93)90332-J

A Static baryon in a dual Abelian effective theory of QCD

Satoshi Kamizawa
(
- Kanazawa U.
)
,
Yoshimi Matsubara
(
- Nanao Jr. Coll.
)
,
Hiroshi Shiba
(
- Kanazawa U.
)
,
Tsuneo Suzuki
(
- Kanazawa U.
)

Jan, 1992

15 pages

Published in:

Nucl.Phys.B 389 (1993) 563-576

DOI:

10.1016/0550-3213(93)90332-J

Report number:

DPKU-9202

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Abstract: (Elsevier)

The potential of a static baryon is studied numerically in a dual abelian effective theory of QCD. The Dirac quantization condition forbids Δ-type flux. Minimizing the vacuum energy with respect to various flux distributions, we find that a baryon carries Y- or Λ-type flux according to the configuration of the quarks. The flux is squeezed as expected when monopole condensation occurs. The potential evaluated is slightly different from that usually assumed as the summation of the two-body potentials.

quantum chromodynamics
effective Lagrangian: abelian
lattice field theory
gauge field theory: U(1) x U(1)
baryon: potential
duality
field equations: solution
string model
baryon: static
numerical calculations

References(21)

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

Superconductivity: A Testing Ground for Models of Confinement

James S. Ball
(
- Utah U.
)
,
Ariel Caticha
(
- Utah U.
)

- Phys.Rev.D 37 (1988) 524
•
DOI:
- 10.1103/PhysRevD.37.524

String - Like Solution of Higgs Model with Magnetic Monopoles

A. Jevicki
(
- City Coll., N.Y.
)
,
P. Senjanovic
(
- City Coll., N.Y.
)

- Phys.Rev.D 11 (1975) 860
•
DOI:
- 10.1103/PhysRevD.11.860

Baryon Masses in Relativistic Potential Models

J.L. Basdevant
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
S. Boukraa
(
- Paris U., VI-VII
)

- Z.Phys.C 30 (1986) 103
•
DOI:
- 10.1007/BF01560683

From Mesons to Baryons

J.M. Richard
(
- CERN
)

- Phys.Lett.B 100 (1981) 515-518
•
DOI:
- 10.1016/0370-2693(81)90618-3

ON THE MASSES OF MESONS AND BARYONS IN POTENTIAL MODELS

J.M. Richard
(
- Orsay, LPT and
- Paris U., VI-VII
)

- Phys.Lett.B 139 (1984) 408-410
•
DOI:
- 10.1016/0370-2693(84)91841-0

Heavy Baryon Spectroscopy in the {QCD} Bag Model

- Phys.Lett.B 94 (1980) 401-404
•
DOI:
- 10.1016/0370-2693(80)90906-5

On Composite Hadrons in Nonabelian Lattice Gauge Theories

Hans Gunter Dosch
(
- Heidelberg U.
)
,
V.F. Muller
(
- Kaiserslautern U.
)

- Nucl.Phys.B 116 (1976) 470-490
•
DOI:
- 10.1016/0550-3213(76)90359-X

Vacuum Polarization Effects in Lattice Gauge Theories

Hans Gunter Dosch
(
- Heidelberg U.
)
,
V.F. Muller
(
- Kaiserslautern U.
)

- Nucl.Phys.B 158 (1979) 419-428
•
DOI:
- 10.1016/0550-3213(79)90175-5

More Than Two Static SU(3) Charges on the Lattice

C.B. Lang
(
- Graz U.
)
,
M. Wiltgen
(
- Graz U.
)

- Phys.Lett.B 131 (1983) 153-158
•
DOI:
- 10.1016/0370-2693(83)91110-3

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

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

Abelian Confinement Mechanism and the {QCD} Vacuum

Shinji Maedan
(
- Kanazawa U.
)
,
Yoshimi Matsubara
(
- Nanao Jr. Coll.
)
,
Tsuneo Suzuki
(
- Kanazawa U.
)

- Prog.Theor.Phys. 84 (1990) 130-141,
- Prog. Theor. Phys. 84 (1990) 130-141 and Kanazawa Univ. - DPKU-8907 (89,rec.Dec.) 23 p
•
DOI:
- 10.1143/PTP.84.130

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

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

Effective Dielectric Theory from QCD

Holger Bech Nielsen
(
- Bohr Inst. and
- Nordita
)
,
A. Patkos
(
- Eotvos U.
)

- Nucl.Phys.B 195 (1982) 137-156
•
DOI:
- 10.1016/0550-3213(82)90051-7

The Quantum Field Theory of Electric and Magnetic Charge

- Phys.Rept. 157 (1988) 233
•
DOI:
- 10.1016/0370-1573(88)90098-1

Magnetic charge and quantum field theory

Julian S. Schwinger
(
- Harvard U.
)

- Phys.Rev. 144 (1966) 1087-1093,
•
DOI:
- 10.1103/PhysRev.144.1087

The Heavy Quark - Anti-quark Potential in the {MIT} Bag Model

W.C. Haxton
(
- Los Alamos
)
,
L. Heller
(
- Los Alamos
)

- Phys.Rev.D 22 (1980) 1198
•
DOI:
- 10.1103/PhysRevD.22.1198