Nonperturbative approach to Yang-Mills theories in the continuum. I. Strong-coupling confinement

Journal Article · Sat Feb 14 23:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.1478· OSTI ID:6837501

Karanikas, A I; Ktorides, C N

We study a well-defined formulation of pure Yang-Mills theories in the continuum which employs an action structured by gauge-invariant loop variables. At the classical level, we show how the aforementioned formulation comes arbitrarily close to the standard Yang-Mills action and also prove that it yields the correct equations of motion. We perform a path-integral quantization of the theory and establish, through direct calculation, strong-coupling confinement in the continuum. We claim that the advocated formulation constitutes a nonperturbative regularization of non-Abelian gauge theories in the continuum.

• Research Organization: Physics Department, Nuclear and Particle Physics Division, Panepistimiopolis, GR 15771 Athens, Greece
• OSTI ID: 6837501
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTIZATION
STRONG-COUPLING MODEL
YANG-MILLS THEORY