Trying to understand confinement in the Schroedinger picture

Abstract

We study the gauge-invariant gaussian ansatz for the vacuum wave functional and show that it potentially possesses many desirable features of the Yang--Mills theory, like asymptotic freedom, mass generation through the transmutation of dimensions and a linear potential between static quarks. We point out that these (and other) features can be studied in a systematic way by combining perturbative and 1/n expansions. Contrary to the euclidean approach, confinement can be easily formulated and easily built in, if not derived, in the variational Schroedinger approach.

21 pages, 1 figure. Lecture given at the 4th St.Petersburg Winter School in Theoretical Physics, Feb. 22-28, 1998

References in corpus (1)

• Continuum Strong Coupling Expansion of Yang-Mills Theory: Quark Confinement and Infra-Red Slavery

Cited by in corpus (5)

• A conjecture on the infrared structure of the vacuum Schrodinger wave functional of QCD
• Instantons and the QCD Vacuum Wavefunctional
• Flow equations for quark-gluon interactions in light-front QCD
• Gauge Invariant Variational Approach with Fermions: the Schwinger Model
• Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional