The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?

Abstract

This is a brief history of what I consider as very important, some of which truly seminal, contributions made by young Korean nuclear theorists, mostly graduate students working on PhD thesis in 1990's and early 2000's, to nuclear effective field theory, nowadays heralded as the first-principle approach to nuclear physics. The theoretical framework employed is an effective field theory anchored on a scale-invariant hidden local symmetric Lagrangian constructed along the line of Weinberg's "Folk Theorem" on effective field theory. The problems addressed are the high-precision calculations on the thermal $np$ capture, the solar $pp$ fusion process, the solar $hep$ process -- John Bahcall's challenge to nuclear theorists -- and the quenching of $g_A$ in giant Gamow-Teller resonances and the whopping enhancement of first-forbidden beta transitions in astrophysical processes. Extending adventurously the strategy to a wild uncharted domain in which a systematic implementation of the "theorem" is far from obvious, the same effective Lagrangian is applied to the structure of compact stars. A surprising result on the properties of massive stars, totally different from what has been obtained up to day in the literature, is predicted, such as the precocious onset of conformal sound velocity together with the possible emergence of hidden symmetries such as scale symmetry and hidden local symmetry.

arXiv commentInvited paper published in JKPS(Journal of the Korean Physical Society)

References in corpus (61)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Renormalization Group Approach to Interacting Fermions
• Quantum Monte Carlo methods for nuclear physics
• Solar fusion cross sections II: the pp chain and CNO cycles
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Ab initio calculation of the Hoyle state
• Neutron star radii and crusts: uncertainties and unified equations of state
• Sound velocity bound and neutron stars
• Structure and rotations of the Hoyle state
• The effective g_A in the pf-shell
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Phenomenological QCD equation of state for massive neutron stars
• Weak capture of protons by protons
• Full pf shell study of A = 47 and A = 49 nuclei
• Low-energy effective action for pions and a dilatonic meson
• Nuclear axial current operators to fourth order in chiral effective field theory
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• $\Delta I=1/2$ rule for kaon decays derived from QCD infrared fixed point
• Ab initio calculation of the $np\to d\gamma$ radiative capture process
• Chiral EFT based nuclear forces: Achievements and challenges
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• The Quarkyonic Star
• Weak proton capture on 3He
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Do hep neutrinos affect the solar neutrino energy spectrum?
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• A Unified Approach to High Density: Pion Fluctuations in Skyrmion Matter
• States of Carbon-12 in the Skyrme Model
• Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions
• Conformal anomaly and the vector coupling in dense matter
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• Cheshire Cat Hadrons
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Gamow-Teller strength distributions in fp-shell nuclei
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Scheme-Independent Series Expansions at an Infrared Zero of the Beta Function in Asymptotically Free Gauge Theories
• The Dilated Chiral Quark Model
• Chiral-scale effective theory including a dilatonic meson
• What is Quantum Field Theory, and What Did We Think It Is?
• Self-consistent Green's function approaches
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Sliding Vacua in Dense Skyrmion Matter
• Nuclear matter with Brown-Rho-scaled Fermi liquid interactions
• The Solar $Hep$ Process
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• Effective Field Theory For Nuclei: Confronting Fundamental Questions in Astrophysics
• The Proton Spin in the Chiral Bag Model : Casimir Contribution and Cheshire Cat Principle
• The Pion Velocity in Dense Skyrmion Matter
• Phenomenological QCD equations of state for neutron stars
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Renormalization Group Methods: Landau-Fermi Liquid and BCS Superconductor
• Chiral Electroweak Currents in Nuclei
• Role of the Landau-Migdal Parameters with the Pseudovector and the Tensor Coupling in Relativistic Nuclear Models -- The Quenching of the Gamow-Teller Strength --
• The Cheshire Cat Principle from Holography
• Nuclear Physics

Cited by in corpus (1)

• Pinning Down the Axial-Vector Coupling Constant in Nuclei and Dense Matter