Asymptotic behavior of the vacuum energy for small Skyrmions
- Dept. of Physics, Univ. of Manitoba, Winnipeg (CA)
Various schemes for deriving effective Lagrangians, involving both quark and meson degrees of freedom, which are intermediate between QCD and low-energy pion dynamics have been proposed. While integration over the fermion fields within the framework of renormalized field theory leads to a vacuum instability, physically reasonable results are obtained for the theory taken with finite cut-off. In principle, properties of the nucleon, such as its mass, can be obtained from a self-consistent calculation in the Skyrmion sector. This procedure can be simplified by implementing a analytical approximation for the fermion vacuum energy which plays a central role. The authors discuss such an approximation, and use it to calculate exactly the asymptotic behaviour of the vacuum energy for small Skyrmions. It is found that, unlike in the renormalized theory, its functional dependence on the Skyrmion radius in this limit depends on the characteristics of the Skyrmion profile and choice of regularization scheme; however, the cut-off field theory exhibits no vacuum instability.
- OSTI ID:
- 6546734
- Journal Information:
- Modern Physics Letters B; (USA), Vol. 5:18; ISSN 0217-9849
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
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DEGREES OF FREEDOM
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
SKYRME POTENTIAL
ASYMPTOTIC SOLUTIONS
FERMIONS
LAGRANGIAN FIELD THEORY
LOW-ENERGY THEOREM
MASS
NUCLEONS
PLASMA INSTABILITY
RENORMALIZATION
VACUUM STATES
BARYONS
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POSTULATED PARTICLES
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645400* - High Energy Physics- Field Theory
645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics