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Title: (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:
 [1]; ;  [2]
  1. 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)
  2. 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}
}