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

Journal Article · Mon Nov 15 00:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.4980· OSTI ID:5877846

Bhanot, G ^[1]; Demeterfi, K; Klebanov, I R ^[2]

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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)

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.

• DOE Contract Number: FG02-90ER40542; AC02-76ER03072
• OSTI ID: 5877846
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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-)