Color confinement

Journal Article · Mon Aug 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.1119· OSTI ID:7209802

Brandt, R A; Jackson, T L; Wing-Chiu, N; Young, K

We argue that the effective charge g-bar (lambda) in a color SU(N) gauge theory becomes infinite in the infrared limit lambda ..-->.. 0 in the Landau gauge, provided the number F of massless quark flavors satisfies 13N/4 < F < 11N/2. To deduce this, we must assume that (i) the R transformation A/sub ..mu..//sub( x)/ ..-->.. A/sub ..mu..//sub( x)/ + r/sub ..mu../A/sub ..mu../fields, r/sub ..mu../vectors, commutes with the gauge-invariant cutoff removal in the renormalized field equations and current definitions, (ii) functional methods can be used to derive the consequences of invariance under the R transformation, and (iii) if g-bar (lambda) ..-->.. g/sub infinity/as lambda ..-->.. 0, the vertex functions are well defined and nonvanishing at the value g/sub infinity/of the renormalized coupling constant. With these assumptions, generalizations of one-particle irreducible vertex functions involving both gauge fields and color currents are shown to have an infrared behavior which is inconsistent with the existence of the infrared fixed point at g/sub infinity/Therefore, g-bar (0) = infinity, suggesting that color is confined in these models. If we assume that the infrared decoupling theorem is valid for the exact theory, our result can be extended to both massive and massless quarks, for all F < 11N/2.

• Research Organization: Department of Physics, New York University, New York, New York 10003
• OSTI ID: 7209802
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Electromagnetic Interactions &amp; Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
EFFECTIVE CHARGE
ELECTROMAGNETIC INTERACTIONS
ELECTROPRODUCTION
ELEMENTARY PARTICLES
FUNCTIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
QUARK MODEL
RENORMALIZATION
SCALING LAWS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
VERTEX FUNCTIONS
WARD IDENTITY