Possible avoidance of a no-go theorem for glueballs in an effective-action model of QCD

Journal Article · Fri Dec 15 04:00:00 EST 1989 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.4193· OSTI ID:7165622

Mendel, R R ^[1]; Trottier, H D ^[2]

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1. Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B9 (CA)
2. Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA)

Sum rules are derived from a variational method applied to a renormalization-group-improved effective action of QCD. These sum rules extend an earlier no-go theorem for static glueball solutions in three spatial dimensions, but indicate that the recently proposed possibility of a finite discontinuity in the nonlinear dielectric function may be a viable way of avoiding this no-go theorem. However, these sum rules preclude the possibility of purely electric'' ({bold B}{sup {ital a}}==0) solutions.

• OSTI ID: 7165622
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 40:12; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
GLUEBALLS
LAGRANGIAN FUNCTION
LIE GROUPS
MAGNETIC FIELDS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
RENORMALIZATION
SU GROUPS
SU-3 GROUPS
SUM RULES
SYMMETRY GROUPS
VACUUM STATES
VARIATIONAL METHODS