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

Krešimir Demeterfi; Igor R. Klebanov; Gyan Bhanot

doi:10.1016/0550-3213(94)90236-4

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

Krešimir Demeterfi, Igor R. Klebanov, Gyan Bhanot

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73 Scopus citations

Abstract

We consider (1 + 1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU(N). This model results from dimensional reduction of the (2 + 1)-dimensional pure glue theory. In the large-N limit we study the spectrum of glueballs numerically, using the discretized light-cone quantization. We find a discrete spectrum of bound states, with the density of levels growing approximately exponentially with the mass. A few low-lying states are very close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.

Original language	English (US)
Pages (from-to)	15-29
Number of pages	15
Journal	Nuclear Physics, Section B
Volume	418
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(94)90236-4
State	Published - Apr 25 1994

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(94)90236-4

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@article{b98c7f2031c346afa0a57eb8ceee54c5,

title = "Glueball spectrum in a (1 + 1)-dimensional model for QCD",

abstract = "We consider (1 + 1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU(N). This model results from dimensional reduction of the (2 + 1)-dimensional pure glue theory. In the large-N limit we study the spectrum of glueballs numerically, using the discretized light-cone quantization. We find a discrete spectrum of bound states, with the density of levels growing approximately exponentially with the mass. A few low-lying states are very close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.",

author = "Kre{\v s}imir Demeterfi and Klebanov, {Igor R.} and Gyan Bhanot",

note = "Funding Information: We are grateful to C. Callan, S. Dalley, D. Gross, S. Gubser, A. Polyakov, S. Shenker, and especially D. Kutasov, for helpful discussions. We also thank Thinking Machines Corporation for use of their computers. I.R.K. and K.D. were supported in part by the NSF Presidential Young Investigator program under Grant No. PHY-9157482 and James S. McDonnell Foundation Grant No. 91-48. I.R.K. was also supported by DOE Grant No. DE-ACO2-76WR03072 and the A.P. Sloan Foundation. The work of G.B. was partly supported by a US DOE Grant No. DE-FGO2-90ER40542 and by the Ambrose Monell Foundation.",

year = "1994",

month = apr,

day = "25",

doi = "10.1016/0550-3213(94)90236-4",

language = "English (US)",

volume = "418",

pages = "15--29",

journal = "Nuclear Physics, Section B",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Glueball spectrum in a (1 + 1)-dimensional model for QCD

AU - Demeterfi, Krešimir

AU - Klebanov, Igor R.

AU - Bhanot, Gyan

N1 - Funding Information: We are grateful to C. Callan, S. Dalley, D. Gross, S. Gubser, A. Polyakov, S. Shenker, and especially D. Kutasov, for helpful discussions. We also thank Thinking Machines Corporation for use of their computers. I.R.K. and K.D. were supported in part by the NSF Presidential Young Investigator program under Grant No. PHY-9157482 and James S. McDonnell Foundation Grant No. 91-48. I.R.K. was also supported by DOE Grant No. DE-ACO2-76WR03072 and the A.P. Sloan Foundation. The work of G.B. was partly supported by a US DOE Grant No. DE-FGO2-90ER40542 and by the Ambrose Monell Foundation.

PY - 1994/4/25

Y1 - 1994/4/25

N2 - We consider (1 + 1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU(N). This model results from dimensional reduction of the (2 + 1)-dimensional pure glue theory. In the large-N limit we study the spectrum of glueballs numerically, using the discretized light-cone quantization. We find a discrete spectrum of bound states, with the density of levels growing approximately exponentially with the mass. A few low-lying states are very close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.

AB - We consider (1 + 1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU(N). This model results from dimensional reduction of the (2 + 1)-dimensional pure glue theory. In the large-N limit we study the spectrum of glueballs numerically, using the discretized light-cone quantization. We find a discrete spectrum of bound states, with the density of levels growing approximately exponentially with the mass. A few low-lying states are very close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.

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VL - 418

SP - 15

EP - 29

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

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

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