Adjoint two-d QCD and pure three-d QCD: A Comparison of spectra

We briefly review the 1+1-dimensional SU(N) gauge theory minimally coupled to an adjoint scalar, based upon a dimensional reduction of 2+1-dimensional pure gauge theory, which approximates the dynamics of the transversely polarized gluon. The lightest glueball states are investigated non-perturbatively using light-front quantisation in the large-N limit a la 't Hooft, and the physical meaning of the results elucidated. Comparison is made with recent lattice Monte Carlo data for 3-dimensional quenched QCD.

talk: Trieste 1995/04/05
gauge field theory: SU(N)
dimension: 2
dimension: 3
field theory: scalar
dimensional reduction
gluon: polarization
polarization: gluon
polarization: transverse
transverse: polarization

References(13)

Figures(0)

Local Gauge Invariance and the Bound State Nature of Hadrons

William A. Bardeen
(
- Fermilab
)
,
R.B. Pearson
(
- Fermilab
)

- Phys.Rev.D 14 (1976) 547
•
DOI:
- 10.1103/PhysRevD.14.547

Hadron Masses in Quantum Chromodynamics on the Transverse Lattice

William A. Bardeen
(
- Fermilab
)
,
Robert B. Pearson
(
- Princeton, Inst. Advanced Study and
- Fermilab
)
,
Eliezer Rabinovici
(
- LBL, Berkeley
)

- Phys.Rev.D 21 (1980) 1037
•
DOI:
- 10.1103/PhysRevD.21.1037

String spectrum of (1+1)-dimensional large N QCD with adjoint matter

Simon Dalley
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)

- Phys.Rev.D 47 (1993) 2517-2527
•
e-Print:
- hep-th/9209049
•
DOI:
- 10.1103/PhysRevD.47.2517

Glueball spectrum in a (1+1)-dimensional model for QCD

Kresimir Demeterfi
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Gyan Bhanot
(
- Princeton, Inst. Advanced Study and
- Thinking Machines, Cambridge
)

- Nucl.Phys.B 418 (1994) 15-29
•
e-Print:
- hep-th/9311015
•
DOI:
- 10.1016/0550-3213(94)90236-4

PERTURBATIVE RESULTS ON QCD in three-dimensions AT FINITE TEMPERATURE

Eric D'Hoker
(
- MIT, LNS
)

- Nucl.Phys.B 201 (1982) 401-428
•
DOI:
- 10.1016/0550-3213(82)90441-2

(1+1)-dimensional large N QCD coupled to adjoint fermions

Gyan Bhanot
(
- Princeton, Inst. Advanced Study and
- Thinking Machines, Cambridge
)
,
Kresimir Demeterfi
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)

- Phys.Rev.D 48 (1993) 4980-4990
•
e-Print:
- hep-th/9307111
•
DOI:
- 10.1103/PhysRevD.48.4980

Two-dimensional QCD coupled to adjoint matter and string theory

David Kutasov
(
- Chicago U., EFI and
- Chicago U.
)

- Nucl.Phys.B 414 (1994) 33-52
•
e-Print:
- hep-th/9306013
•
DOI:
- 10.1016/0550-3213(94)90420-0

Two-dimensional quantum chromodynamics as the limit of higher dimensional theories

A. Ferrando
(
- Valencia U.
)
,
A. Jaramillo
(
- Valencia U.
)

- Phys.Lett.B 341 (1995) 342-348
•
e-Print:
- hep-th/9407123
•
DOI:
- 10.1016/0370-2693(94)01295-N

The Heavy quark potentials in two-dimensional QCD with adjoint matter

T.H. Hansson
(
- Stockholm U.
)
,
R. Tzani
(
- Stockholm U.
)

- Nucl.Phys.B 435 (1995) 241-256
•
e-Print:
- hep-th/9410235
•
DOI:
- 10.1016/0550-3213(94)00515-G

Some physical properties of SU (2) gauge theories in three dimensions

M. Teper
(
- Oxford U. and
- Merton Coll., Oxford
)

- Phys.Lett.B 289 (1992) 115-121
•
DOI:
- 10.1016/0370-2693(92)91371-F

The Confining string and its tension for SU(2) gauge fields in (2+1)-dimensions

M. Teper
(
- Oxford U.
)

- Phys.Lett.B 311 (1993) 223-229
•
DOI:
- 10.1016/0370-2693(93)90559-Z

A Two-Dimensional Model for Mesons

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 75 (1974) 461-470
•
DOI:
- 10.1016/0550-3213(74)90088-1

Light Cone Quantized QCD in (1+1)-Dimensions

Kent Hornbostel
(
- SLAC
)
,
Stanley J. Brodsky
(
- SLAC
)
,
Hans Christian Pauli
(
- Heidelberg, Max Planck Inst.
)

- Phys.Rev.D 41 (1990) 3814,
- In *Columbus 1988, Relativistic nuclear many-body physics* 573-589, and SLAC Stanford - SLAC-PUB-4678 (88,rec.Jan.89) 21 p
•
DOI:
- 10.1103/PhysRevD.41.3814