GEWU
EN

搜索科普文

输入关键词搜索已发表科普文。

    Scientists / Open questions

    乔治·帕里西

    Giorgio Parisi

    统计物理、无序系统、复杂系统

    2021 年诺贝尔物理学奖

    166 个问题

    1. Rigorous and effective completion of Parisi's trace identities for the one-dimensional Schrödinger operator with power-law potentials

    2. Entanglement of the quantum Dyson hierarchical Ising chain beyond its critical area law: the true long-range ferromagnetic chain, tensor-network structure, disjoint blocks, excited states, and quench dynamics

    3. Large-deviation function and small-deviation scaling of the Sherrington–Kirkpatrick free energy: rigorous status of the replica prediction and the matching argument

    4. Origin of the sharp dependence of Parisi's fluctuation-dissipation noise-reduction method on the spin-component number in the two-dimensional O(nn) sigma model

    5. Exact solution of the planar (large-N) limit of four-dimensional non-Abelian gauge theory

    6. Controlled index-resolved stationary-point and Hessian-spectrum analysis of the glass transition in structural glasses

    7. Quark loops, fermions, and coherent phenomena: extending Parisi's 1976 trajectory-representation theory of confinement beyond the scalar no-quark-loop approximation

    8. Aging evolution of the low-frequency non-Debye vibrational density of states in glasses

    9. Unitary existence of the large-N resummation of non-renormalizable interactions: the O(N) quartic theory in 4<d<64<d<6, its borderline dimensions, and four-dimensional non-renormalizable theories

    10. Critical behavior of the yielding spinodal of amorphous solids: computing the exponents, finite-size scaling, and the finite-temperature fate

    11. Rigorous status of the stochastic-stability hypotheses underlying the local fluctuation-dissipation relation and site thermometry in aging spin glasses

    12. Finiteness at integer space-time dimension of resummed perturbatively nonrenormalizable amplitudes: completing the Parisi 1973 ladder construction

    13. Justification and validation of the replica block-saddle moment method for finite-volume corrections in one-step replica-symmetry-broken mean-field models

    14. All-orders status of the ϕ4\phi^4 random-field Ising model universality class at glassy terminal critical points in replica field theory

    15. Out-of-equilibrium dynamics of the marginal (Gardner) phase of the infinite-dimensional hard-sphere glass

    16. Consolidating configurational entropy measurements for three-dimensional glass-formers and the fate of the Kauzmann transition

    17. Low-temperature phase of the D-to-infinity frustrated XY (Josephson-junction) hypercube model: Parisi's moment-matching random-ensemble equivalence conjecture

    18. Completing the cycle-expansion theory of finite-size corrections for random-link matching problems on random regular graphs

    19. The Borel-plane structure of the pure SU(N) Yang-Mills vacuum energy beyond the b=4 renormalon cut: continuation of the Borel transform, entanglement with the instanton singularity, and the confinement argument (open problems from Parisi's 1978 'Singularities of the Borel transform in gauge theories')

    20. Exact theory of the d→∞d\to\infty hard-sphere glass beyond the Gaussian free energy: cage-distribution tails, finite-dimensional molecular dissociation, and a replica-free derivation

    21. Correlations among metastable states and the long-time post-jump dynamics in the spherical p-spin spin glass

    22. Finite-Dimensional Corrections to the Mean-Field Vibrational Density of States of Jammed Amorphous Solids

    23. Nonperturbative completion and continuum interpretation of the Marinari-Parisi supersymmetric one-dimensional string

    24. Controlled analytic evaluation of the susceptibility-kernel eigenvalue λ(s)\lambda(s) for the Anderson transition on the Bethe lattice: expansion about s=0s=0, retained contributions at s=1/2s=1/2 in the large-connectivity limit, and the weak-disorder constant κ\kappa in D1=1−κW4D_1=1-\kappa W^4

    返回科研问题