Perturbative effect of heavy particles in an effective-Lagrangian approach
An effective-Lagrangian approach is summarized to estimate the perturbative effect of heavy-mass particles in the leading-logarithmic approximation: the logarithmic corrections to mass-suppressed amplitudes are given in a concise form. We apply the formalism to a simplified model with two scalar fields where one is heavy and the other is light. We derive an effective Lagrangian by calculating heavy-particle one-loop diagrams. Solving renormalization-group equations derived from the effective Lagrangian by light-particle one-loop corrections, we obtain logarithmic corrections to the mass-suppressed amplitudes. The results are confirmed by explicit two-loop calculation in the full theory, up to order O((1/M/sup 2/)1nM/sup 2/), where M is a heavy scalar mass. It is found that the boundary condition for solving the renormalization-group equations must be specified by the renormalization at the heavy-particle mass. It must also be emphasized that in an effective-Lagrangian approach minimal subtraction is not a proper method of renormalization. The necessity to adopt the conventional momentum-shell subtraction is stressed. Several applications of this formalism are also mentioned.
- Research Organization:
- Department of Physics, Brandeis University, Waltham, Massachusetts 02154
- OSTI ID:
- 6639288
- Journal Information:
- Phys. Rev., D; (United States), Vol. 23:4
- Country of Publication:
- United States
- Language:
- English
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LAGRANGIAN FIELD THEORY
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BOUNDARY CONDITIONS
GREEN FUNCTION
LAGRANGIAN FUNCTION
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SCALAR FIELDS
STRANGE PARTICLES
SYMMETRY BREAKING
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
QUANTUM FIELD THEORY
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
645400 - High Energy Physics- Field Theory