Chiral Lagrangians at finite density

Abstract

The effective SU(2) chiral Lagrangian with external sources is given in the presence of non-vanishing nucleon densities by calculating the in-medium contributions of the chiral pion-nucleon Lagrangian. As a by product, a relativistic quantum field theory for Fermi many-particle systems at zero temperature is directly derived from relativistic quantum field theory with functional methods.

6 Pages, 3 figures, REVTeX. Extended version. Explicit Feynman rules are given

References in corpus (1)

• Regularization for effective field theory with two heavy particles

Cited by in corpus (19)

• Modern Theory of Nuclear Forces
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• In-medium chiral perturbation theory beyond the mean-field approximation
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Chiral condensate at finite density using chiral Ward identity
• Pion properties at finite nuclear density based on in-medium chiral perturbation theory
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• Brief history of the pion-nucleon sigma term
• The s-wave pion-nucleus optical potential
• Chiral Perturbation Theory in a Nuclear Background
• An in-medium chiral power counting for nuclear matter and some applications
• Density dependence of the quark condensate in isospin-asymmetric nuclear matter
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
• Ultracold spin-balanced fermionic quantum liquids with renormalized $P$-wave interactions
• Effective Field Theories for Neutron Stars Physics
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• An Effective Field Theory at Finite Density