Nonsupersymmetric strong coupling background from the large N quantum mechanics of two matrices coupled via a Yang-Mills interaction

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.085030· OSTI ID:21433021

Rodrigues, Joao P; Zaidi, Alia ^[1]

---

1. National Institute for Theoretical Physics, School of Physics and Centre for Theoretical Physics, University of the Witwatersrand, Johannesburg Wits 2050 (South Africa)

We derive a planar sector of the large N nonsupersymmetric background of the quantum mechanical Hamiltonian of two Hermitian matrices coupled via a Yang-Mills interaction, in terms of the density of eigenvalues of one of the matrices. This background satisfies an implicit nonlinear integral equation, with a perturbative small coupling expansion and a solvable large coupling solution, which is obtained. The energy of system and the expectation value of several correlators are obtained in this strong coupling limit. They are free of infrared divergences.

• OSTI ID: 21433021
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 8; Other Information: DOI: 10.1103/PhysRevD.82.085030; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
DENSITY
EIGENVALUES
EXPANSION
HAMILTONIANS
HERMITIAN MATRIX
INFRARED DIVERGENCES
INTERACTIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
QUANTUM MECHANICS
STRONG-COUPLING MODEL
YANG-MILLS THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUANTUM OPERATORS