Modeling The Glueball Spectrum By A Closed Bosonic Membrane

Abstract

We use an analogy between the Yang-Mills theory Hamiltonian and the matrix model description of the closed bosonic membrane theory to calculate the spectrum of glueballs in the large $N_c$ limit. Some features of the Yang-Mills theory vacuum, such as the screening of the topological charge and vacuum topological susceptibility are discussed. We show that the topological susceptibility has different properties depending on whether it is calculated in the weak coupling or strong coupling regimes of the theory. A mechanism of the formation of the pseudoscalar glueball state within pure Yang-Mills theory is proposed and studied.

45 LaTex pages. Two references with comments added. Phys. Rev. D58 (1998) 094015

References in corpus (3)

• Topological Structure in the SU(2) Vacuum
• Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction
• Topological structure in the SU(2) vacuum

Cited by in corpus (26)

• BPS Domain Walls in Large N Supersymmetric QCD
• On the Effective Action of N=1 Supersymmetric Yang-Mills Theory
• A Vacuum Accumulation Solution to the Strong CP Problem
• Static potential from spontaneous breaking of scale symmetry
• The Spectrum of Softly Broken N=1 Supersymmetric Yang-Mills Theory
• Quantum fluctuations of a "constant" gauge field
• Glueball phenomenology and the relativistic flux tube model
• On Field/String Theory Approach to Theta Dependence in Large N Yang-Mills Theory
• Chern-Simons Hadronic Bag from Quenched Large-N QCD
• The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
• Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories
• Dualization of Interacting Theories Including p=d-1 Limiting Cases
• Topological structure of chiral QCD vacuum
• Strong CP Problem with 10^{32} Standard Model Copies
• Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the covariant gauge QCD
• On the Groundstate of Yang-Mills Quantum Mechanics
• The QCD Membrane
• Quantum effects of a massive 3-form coupled to a Dirac field
• Unconstrained SU(2) Yang-Mills Quantum Mechanics with Theta Angle
• Confinement from constant field condensates
• On scale symmetry breaking and confinement in D=3 models
• How to calculate the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the axial gauge QCD
• The bosonized version of the Schwinger model in four dimensions: a blueprint for confinement?
• Can instantons saturate the large mass of the ${\eta }^{\prime }$ meson in the chiral limit?
• A Quantal Theory of Restoration of Strong CP Symmetry
• Mass-Gaps and Spin Chains for (Super) Membranes