Two-loop Corrections for Nuclear Matter in a Covariant Effective Field Theory

Abstract

Although one-loop calculations provide a realistic description of bulk and single-particle nuclear properties, it is necessary to examine loop corrections to develop a systematic finite-density power-counting scheme for the nuclear many-body problem when loops are included. Moreover, it is imperative to study exchange and correlation corrections systematically to make reliable predictions for other nuclear observables. One must also verify that the natural sizes of the one-loop parameters are not destroyed by explicit inclusion of many-body corrections. The loop expansion is applied to a chiral effective hadronic lagrangian; with the techniques of Infrared Regularization, it is possible to separate out the short-range contributions and to write them as local products of fields that are already present in our lagrangian. (The appropriate field variables must be re-defined at each order in loops.) The corresponding parameters implicitly include short-range effects to all orders in the interaction, so these effects need not be calculated explicitly. The remaining (long-range) contributions that must be calculated are nonlocal and resemble those in conventional nuclear-structure calculations. Calculations at the two-loop level are carried out to illustrate these techniques at finite densities and to verify that the coupling parameters remain natural when fitted to the empirical properties of equilibrium nuclear matter.

24 pages, 4 figures

References in corpus (15)

• Recent Progress in Quantum Hadrodynamics
• A Chiral Effective Lagrangian for Nuclei
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Generalized Dimensional Analysis
• Analysis of Chiral Mean-Field Models for Nuclei
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Vacuum Contributions in a Chiral Effective Lagrangian for Nuclei
• Parameter Counting in Relativistic Mean-Field Models
• Vacuum Nucleon Loops and Naturalness
• Effective lagrangian approach to structure of selected nuclei far from sta bility
• Two-Loop Calculations with Vertex Corrections in the Walecka Model
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• On the Surface Structure of Strange Superheavy Nuclei
• Recent Developments in the Nuclear Many-Body Problem

Cited by in corpus (13)

• Toward ab initio density functional theory for nuclei
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Can neutrino-induced photon production explain the low energy excess in MiniBooNE?
• Warm dense matter and cooling of supernovae remnants
• Coherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• Might Normal Nuclear Matter be Quarkyonic?
• Hot and dense matter beyond relativistic mean field theory
• Three-loop Corrections in a Covariant Effective Field Theory
• A Field-Theoretic Parametrization of Low-Energy Nucleon Form Factors
• Effects of Dirac sea on pion propagation in asymmetric nuclear matter
• Pionic contribution to relativistic Fermi Liquid parameters