QCD static force in gradient flow
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)184
Abstract: We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at… read more here.
Keywords: gradient flow; qcd static; static force; force ... See more keywords
Conserved vector current in QCD-like theories and the gradient flow
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2020)034
Abstract: We present analytical results for the Euclidean 2-point correlator of the flavor- singlet vector current evolved by the gradient flow at next-to-leading order $$ \left(\mathcal{O}\left({g}^2\right)\right) $$ in perturbatively massless QCD-like theories. We show that the… read more here.
Keywords: vector current; qcd like; point correlator; gradient flow ... See more keywords
A gradient flow for the p-elastic energy defined on closed planar curves
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01885-6
Abstract: We study the evolution of closed inextensible planar curves under a second order flow that decreases the p -elastic energy. A short time existence result for $$p \in (1, \infty ) $$ p ∈ (… read more here.
Keywords: flow elastic; elastic energy; planar curves; energy ... See more keywords
A gradient flow formulation for the stochastic Amari neural field model.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of mathematical biology"
DOI: 10.1007/s00285-019-01393-w
Abstract: We study stochastic Amari-type neural field equations, which are mean-field models for neural activity in the cortex. We prove that under certain assumptions on the coupling kernel, the neural field model can be viewed as… read more here.
Keywords: field; neural field; stochastic amari; gradient flow ... See more keywords
The gradient flow of infinity-harmonic potentials
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107526
Abstract: We study the streamlines of $\infty$-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along streamlines… read more here.
Keywords: infinity; flow infinity; gradient flow; harmonic potentials ... See more keywords
Ground rolls attenuation via gradient flow regularization
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Geophysics"
DOI: 10.1016/j.jappgeo.2018.06.005
Abstract: Abstract We propose a novel method for seismic ground rolls attenuation by employing the dips differences between ground rolls and reflective signals. The dips differences are modeled by gradient-direction differences, and the overall gradient directions… read more here.
Keywords: ground; rolls attenuation; gradient flow; reflective signals ... See more keywords
Yang–Mills β function in the gradient flow exact renormalization group
Sign Up to like & getrecommendations! Published in 2025 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptaf152
Abstract: The gradient flow exact renormalization (GFERG) is a variant of the exact renormalization group of gauge theory that is aimed to preserve gauge symmetry as manifestly as possible. From an integral representation of the Wilson… read more here.
Keywords: renormalization; renormalization group; exact renormalization; gradient flow ... See more keywords
Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang–Mills supercurrent
Sign Up to like & getrecommendations! Published in 2018 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/pty117
Abstract: In K.~Hieda, A.~Kasai, H.~Makino, and H.~Suzuki, Prog.\ Theor.\ Exp.\ Phys.\ \textbf{2017}, 063B03 (2017), a properly normalized supercurrent in the four-dimensional (4D) $\mathcal{N}=1$ super Yang--Mills theory (SYM) that works within on-mass-shell correlation functions of gauge-invariant operators… read more here.
Keywords: yang mills; dimensional mathcal; four dimensional; gradient flow ... See more keywords
Four quark operators for kaon bag parameter with gradient flow
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.102.034508
Abstract: To study the $CP$-violation using the ${K}_{0}\ensuremath{-}{\overline{K}}_{0}$ oscillation, we need the kaon bag parameter which represents QCD corrections in the leading Feynman diagrams. The lattice QCD provides us with the only way to evaluate the… read more here.
Keywords: kaon bag; bag parameter; quark operators; gradient flow ... See more keywords
Nonperturbative renormalization of the quark chromoelectric dipole moment with the gradient flow: Power divergences
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.074516
Abstract: The $CP$-violating quark chromoelectric dipole moment (qCEDM) operator, contributing to the electric dipole moment (EDM), mixes under renormalization and---particularly on the lattice---with the pseudoscalar density. The mixing coefficient is power-divergent with the inverse lattice spacing… read more here.
Keywords: moment; gradient flow; quark chromoelectric; chromoelectric dipole ... See more keywords
Gradient Flow Decoding
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Access"
DOI: 10.1109/access.2025.3592296
Abstract: This paper presents the Gradient Flow (GF) decoding for LDPC codes. GF decoding, a continuous-time methodology based on gradient flow, employs a potential energy function associated with bipolar codewords of LDPC codes. The decoding process… read more here.
Keywords: methodology; gradient flow; function; performance ... See more keywords