Scientists / Open questions

Chen Ning Yang

Particle physics; gauge theory; statistical physics

1957 Nobel Prize in Physics

15 questions

Static sourceless gauge fields for noncompact gauge groups: the existence conjecture and physical viability
Determinacy of classical non-Abelian gauge fields by their field strengths, and realizability of the duals of sourceless fields
Completing the SO(4) analysis of the Hubbard model: classifying all interaction-independent eigenstates and determining the ordered region R
KNO scaling for $e^+e^-$ two-jet events: decisive tests of the Chou–Yang fixed-angular-momentum picture of multiplicity fluctuations
Beyond the pointwise classification of SU(2) gauge fields: local invariant completeness, differential assembly, dynamical realization, and the degenerate orbit structure of the Wang–Yang classes
Impact-parameter origin of multiplicity fluctuations in nondiffractive hadron-hadron collisions: quantitative establishment and experimental tests of the Chou-Yang geometrical picture
Energy dependence and dynamical basis of the proton matter-distribution parameters in the Chou–Yang geometrical model of elastic $pp$ / $p\bar{p}$ scattering
Incoherent multiple collisions and the anomalous mass-number dependence of high-transverse-momentum hadron production in proton-nucleus collisions
Zero-temperature dilute-limit thermodynamics of liquid ³He–⁴He mixtures under pressure: the non-analytic low-density expansion, its coefficients, and their microscopic basis
Completing the scattering program of the one-dimensional N-fermion delta gas: Bethe-ansatz exactness, singular string limits, and diffractive three-body scattering
Completing Chou and Yang's exact solution of the carbon-60 vibration problem: the $Q_{4\pm}$ and $Q_{5\pm}$ characteristic polynomials, normal-mode eigenvectors, and inversion of the measured spectrum to force constants
Quantitative geometrical theory of diffraction-dissociation $d\sigma/dt$ beyond the zeroth-order source $\Omega(b)e^{-\Omega(b)}$
Open sub-questions in the classical wave-like reconstruction of the Schrödinger equation: discontinuous potentials, the magnitude of the action, and extension beyond the Schrödinger picture
Field-theoretic status of fermion bound states on a point Dirac magnetic monopole: the self-consistent anomalous moment, the enclothed $e^+e^-$ vacuum, multi-electron binding, and binding of composite particles (Kazama-Yang, 1977)
When does a conformal rescaling preserve Yang's parallel-displacement gauge field and the pure-space (Stephenson–Kilmister–Yang) condition?

Back to open problems

Static sourceless gauge fields for noncompact gauge groups: the existence conjecture and physical viability

Determinacy of classical non-Abelian gauge fields by their field strengths, and realizability of the duals of sourceless fields

Completing the SO(4) analysis of the Hubbard model: classifying all interaction-independent eigenstates and determining the ordered region R

KNO scaling for e+e−e^+e^-e+e− two-jet events: decisive tests of the Chou–Yang fixed-angular-momentum picture of multiplicity fluctuations

Beyond the pointwise classification of SU(2) gauge fields: local invariant completeness, differential assembly, dynamical realization, and the degenerate orbit structure of the Wang–Yang classes

Impact-parameter origin of multiplicity fluctuations in nondiffractive hadron-hadron collisions: quantitative establishment and experimental tests of the Chou-Yang geometrical picture

Energy dependence and dynamical basis of the proton matter-distribution parameters in the Chou–Yang geometrical model of elastic pppppp/ppˉp\bar{p}ppˉ​ scattering

Incoherent multiple collisions and the anomalous mass-number dependence of high-transverse-momentum hadron production in proton-nucleus collisions

Zero-temperature dilute-limit thermodynamics of liquid ³He–⁴He mixtures under pressure: the non-analytic low-density expansion, its coefficients, and their microscopic basis

Completing the scattering program of the one-dimensional N-fermion delta gas: Bethe-ansatz exactness, singular string limits, and diffractive three-body scattering

Completing Chou and Yang's exact solution of the carbon-60 vibration problem: the Q4±Q_{4\pm}Q4±​ and Q5±Q_{5\pm}Q5±​ characteristic polynomials, normal-mode eigenvectors, and inversion of the measured spectrum to force constants

Quantitative geometrical theory of diffraction-dissociation dσ/dtd\sigma/dtdσ/dt beyond the zeroth-order source Ω(b)e−Ω(b)\Omega(b)e^{-\Omega(b)}Ω(b)e−Ω(b)

Open sub-questions in the classical wave-like reconstruction of the Schrödinger equation: discontinuous potentials, the magnitude of the action, and extension beyond the Schrödinger picture

Field-theoretic status of fermion bound states on a point Dirac magnetic monopole: the self-consistent anomalous moment, the enclothed e+e−e^+e^-e+e− vacuum, multi-electron binding, and binding of composite particles (Kazama-Yang, 1977)

When does a conformal rescaling preserve Yang's parallel-displacement gauge field and the pure-space (Stephenson–Kilmister–Yang) condition?

KNO scaling for $e^+e^-$ two-jet events: decisive tests of the Chou–Yang fixed-angular-momentum picture of multiplicity fluctuations

Energy dependence and dynamical basis of the proton matter-distribution parameters in the Chou–Yang geometrical model of elastic $pp$ / $p\bar{p}$ scattering

Completing Chou and Yang's exact solution of the carbon-60 vibration problem: the $Q_{4\pm}$ and $Q_{5\pm}$ characteristic polynomials, normal-mode eigenvectors, and inversion of the measured spectrum to force constants

Quantitative geometrical theory of diffraction-dissociation $d\sigma/dt$ beyond the zeroth-order source $\Omega(b)e^{-\Omega(b)}$

Field-theoretic status of fermion bound states on a point Dirac magnetic monopole: the self-consistent anomalous moment, the enclothed $e^+e^-$ vacuum, multi-electron binding, and binding of composite particles (Kazama-Yang, 1977)