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Effective Lagrangian for a strong color-electric field inside a flux tube with quark confinement

Journal Article · · Physical Review, D (Particles Fields); (United States)
;  [1]
  1. Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Bombay 400005 (India)
+ Show Author Affiliations

The Dirac equation of a quark moving in a covariantly constant color-electric field and subject to a confining force is solved in a flux-tube geometry. Reflection and transmission amplitudes are obtained from the asymptotic form of the Dirac wave function. The effective Lagrangian of this problem is derived in terms of the reflection coefficients which in turn are expressed in terms of the color-electric field and the parameters of the confining force. For a large radius of the tube, this Lagrangian acquires the same form as that derived by Schwinger, with the quark mass and the force acting on it replaced by the effective mass and the effective force. The finite size and confinement effects on the effective Lagrangian are studied qualitatively. The {ital q{bar q}} pair production rate is shown to differ from the expressions used in the literature.

OSTI ID:
7200115
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:11; ISSN PRVDA; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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Related Subjects

662220 -- Quantum Electrodynamics-- (1992-)
662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BAG MODEL
BOUNDARY CONDITIONS
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EFFECTIVE MASS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
MASS
MATHEMATICAL MODELS
PAIR PRODUCTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PRODUCTION
POSTULATED PARTICLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SCATTERING AMPLITUDES
SEMICLASSICAL APPROXIMATION
SPACE-TIME
WAVE EQUATIONS
WAVE FUNCTIONS
WKB APPROXIMATION