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
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