6533b82ffe1ef96bd12950d9
RESEARCH PRODUCT
Renormalization of relativistic baryon chiral perturbation theory and power counting
George JaparidzeT. FuchsStefan SchererJambul GegeliaJambul Gegeliasubject
PhysicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryNuclear Theory010308 nuclear & particles physicsHigh Energy Physics::LatticeFOS: Physical sciences01 natural sciencesBaryonRenormalizationNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Regularization (physics)0103 physical sciencesEffective lagrangianFunctional renormalization group010306 general physicsNucleonNuclear theoryMathematical physicsdescription
We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized diagrams beyond the standard $\bar{\rm MS}$ scheme of chiral perturbation theory to remove contributions violating the power counting. This is achieved by a suitable renormalization of the parameters of the most general effective Lagrangian. In addition to simplicity our method has the benefit that it can be easily applied to multiloop diagrams. As an application we discuss the mass and the scalar form factor of the nucleon and compare the results with the expressions of the infrared regularization of Becher and Leutwyler.
year | journal | country | edition | language |
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2003-02-14 |