Helicity evolution at small x : Revised asymptotic results at large N c and N f
Not Available
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
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Results for “asymptotic”
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Asymptotic behavior of the Fourier coefficients and the analytic structure of the QCD equation of state
In this paper we study the universal properties of the baryon chemical potential Fourier coefficients in quantum chromodynamics. We show that by following a well-defined strategy, the Fourier coefficients can be used to locate Yang-Lee edge singularities associated with chiral phase transition (and by extension with the Roberge-Weiss) in the complex chemical potential plane. We comment on the viability of performing this analysis using lattice QCD data. Published by the American Physical Society 2024
Astronomy & Astrophysics↗
Asymptotic-state prediction for fast flavor transformation in neutron star mergers
Neutrino flavor instabilities appear to be omnipresent in dense astrophysical environments, thus presenting a challenge to large-scale simulations of core-collapse supernovae and neutron star mergers (NSMs). Subgrid models offer a path forward, but require an accurate determination of the local outcome of such conversion phenomena. Focusing on “fast” instabilities, related to the existence of a crossing between neutrino and antineutrino angular distributions, we consider a range of analytical mixing schemes, including a new, fully three-dimensional one, and also introduce a new machine learning (ML) model. We compare the accuracy of these models with the results of several thousands of local dynamical calculations of neutrino evolution from the conditions extracted from classical NSM simulations. Our ML model shows good overall performance, but struggles to generalize to conditions from a NSM simulation not used for training. The multidimensional analytic model performs and generalizes even better, while other analytic models (which assume axisymmetric neutrino distributions) do not have reliably high performances, as they notably fail as expected to account for effects resulting from strong anisotropies. As a result, the ML and analytic subgrid models extensively tested here are both promising, with different computational requirements and sources of systematic errors.
79 ASTRONOMY AND ASTROPHYSICS↗
Asymptotic spinspacetime
We show that Poincaré invariance directly implies the existence of a complexified Minkowski space whose real and imaginary directions unify spacetime and spin, which we dub spinspacetime. Despite the intrinsic noncommutativity of spin, spinspacetime exhibits mutually commuting holomorphic coordinates. Its twistorial construction derives the Newman-Janis shift property of spinning black holes by massive half-Fourier transforming complexified on shell kinematics, which encode a spinning analog of equivalence principle.
Classical black holes↗
Observation of Transient and Asymptotic Driven Structural States of Tungsten Exposed to Radiation
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36 MATERIALS SCIENCE↗
Qubit Regularization of Asymptotic Freedom
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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
From Asymptotic Freedom to θ Vacua: Qubit Embeddings of the O(3) Nonlinear σ Model
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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Top-Down Holography in an Asymptotically Flat Spacetime
Not Available
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Asymptotic Relaxation of Moment Equations for a Multi-species, Homogeneous BGK Model
Multi-species BGK models describe the dynamics of rarefied gases with constituent particles of different elements or compounds with potentially nontrivial velocity distributions. Here, in this paper, moment equations for the bulk velocities, energies, and temperatures of a spatially homogeneous multi-species BGK model are examined. A key challenge in analyzing these equations is the fact that the collision frequencies are allowed to depend on the species temperatures, which allows for more realistic simulations of dilute gas flow. Therefore, a positive lower bound is established for the species temperatures. With this lower bound, a global existence and uniqueness of solutions to the coupled velocity-energy ODE system is established. The lower bound also enables a proof of exponential decay to a unique steady-state solution. Numerical results are presented to demonstrate how the bulk velocities and temperatures relax for large times.
97 MATHEMATICS AND COMPUTING↗
A solvable quantum field theory with asymptotic freedom in (3+1) dimensions
Recently, Ai, Bender and Sarkar gave a prescription on how to obtain [Formula: see text]-symmetric field theory results from an analytic continuation of Hermitian field theories. We perform this analytic continuation for the massless (critical) [Formula: see text] model with quartic interaction in (3+1) dimensions. In the large-[Formula: see text] limit, this theory is exactly solvable, and has negative [Formula: see text]-function in the ultraviolet, and a stable bound state in the infrared. The coupling diverges at a scale [Formula: see text], but can be continued into the far infrared. At finite temperature, the theory exhibits two phases separated by a second-order phase transition near [Formula: see text].
Physics↗
Asymptotic structure of higher dimensional Yang-Mills theory
Using the covariant phase space formalism, we construct the phase space for non-Abelian gauge theories in (d+2)-dimensional Minkowski spacetime for any d ≥ 2, including the edge modes that symplectically pair to the low energy degrees of freedom of the gauge field. Despite the fact that the symplectic form in odd and even-dimensional spacetimes appear ostensibly different, we demonstrate that both cases can be treated in a unified manner by utilizing the shadow transform. Upon quantization, we recover the algebra of the vacuum sector of the Hilbert space and derive a Ward identity that implies the leading soft gluon theorem in (d+2)-dimensional spacetime.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Nucleon and pion PDFs: large-x asymptotics meets functional mimicry
We review strategies to unveil the primordial large- x x structure of the nucleons as well as the pion from hard-scattering experiments. Ideas are presented for learning about the x\to 1 x → 1 limit of nonperturbative QCD dynamics at energy scales of order 1 GeV from collider experiments at much higher scales. The behavior of parton distributions at x\to 1 x → 1 predicted by the quark counting rules and other low-energy theoretical approaches is contrasted with phenomenological PDFs. Polynomial mimicry of PDF parametrizations is one of many factors that influence the apparent power of the (1-x) ( 1 − x ) falloff. We discuss implications of the mimicry for the large- x x falloff of the pion PDFs.
Courtoy, Aurore↗