(1+1)-dimensional large-[ital N] QCD coupled to adjoint fermions
Abstract
We consider (1+1)-dimensional QCD coupled to Majorana fermions in the adjoint representation of the gauge group SU([ital N]). Pair creation of partons (fermion quanta) is not suppressed in the large-[ital N] limit, where the glueball-like bound states become free. In this limit the spectrum is given by a linear light-cone Schroedinger equation, which we study numerically using the discretized light-cone quantization. We find a discrete spectrum of bound states, with the logarithm of the level density growing approximately linearly with the mass. The wave function of a typical excited state is a complicated mixture of components with different parton numbers. A few low-lying states, however, are surprisingly close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.
- Authors:
-
- School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08544 (United States) Thinking Machines Corporation, 245 First Street, Cambridge, Massachusetts 02142 (United States)
- Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)
- Publication Date:
- OSTI Identifier:
- 5877846
- DOE Contract Number:
- FG02-90ER40542; AC02-76ER03072
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, D (Particles Fields); (United States)
- Additional Journal Information:
- Journal Volume: 48:10; Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; FERMIONS; SU GROUPS; QUANTUM CHROMODYNAMICS; TWO-DIMENSIONAL CALCULATIONS; BOUND STATE; EXCITED STATES; LIGHT CONE; PAIR PRODUCTION; PARTONS; SCHROEDINGER EQUATION; WAVE FUNCTIONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ENERGY LEVELS; EQUATIONS; FIELD THEORIES; FUNCTIONS; INTERACTIONS; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PRODUCTION; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SPACE-TIME; SYMMETRY GROUPS; WAVE EQUATIONS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
Citation Formats
Bhanot, G, Demeterfi, K, and Klebanov, I R. (1+1)-dimensional large-[ital N] QCD coupled to adjoint fermions. United States: N. p., 1993.
Web. doi:10.1103/PhysRevD.48.4980.
Bhanot, G, Demeterfi, K, & Klebanov, I R. (1+1)-dimensional large-[ital N] QCD coupled to adjoint fermions. United States. https://doi.org/10.1103/PhysRevD.48.4980
Bhanot, G, Demeterfi, K, and Klebanov, I R. 1993.
"(1+1)-dimensional large-[ital N] QCD coupled to adjoint fermions". United States. https://doi.org/10.1103/PhysRevD.48.4980.
@article{osti_5877846,
title = {(1+1)-dimensional large-[ital N] QCD coupled to adjoint fermions},
author = {Bhanot, G and Demeterfi, K and Klebanov, I R},
abstractNote = {We consider (1+1)-dimensional QCD coupled to Majorana fermions in the adjoint representation of the gauge group SU([ital N]). Pair creation of partons (fermion quanta) is not suppressed in the large-[ital N] limit, where the glueball-like bound states become free. In this limit the spectrum is given by a linear light-cone Schroedinger equation, which we study numerically using the discretized light-cone quantization. We find a discrete spectrum of bound states, with the logarithm of the level density growing approximately linearly with the mass. The wave function of a typical excited state is a complicated mixture of components with different parton numbers. A few low-lying states, however, are surprisingly close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.},
doi = {10.1103/PhysRevD.48.4980},
url = {https://www.osti.gov/biblio/5877846},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 48:10,
place = {United States},
year = {Mon Nov 15 00:00:00 EST 1993},
month = {Mon Nov 15 00:00:00 EST 1993}
}