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Based on the notion of supercodes, we propose a two-phase maximum-likelihood soft-decision decoding (tpMLSD) algorithm for binary linear block codes in this work. The first phase applies the Viterbi algorithm backwardly to a trellis derived…

信息论 · 计算机科学 2014-08-07 Yunghsiang S. Han , Hung-Ta Pai , Po-Ning Chen , Ting-Yi Wu

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

材料科学 · 物理学 2016-10-12 Christian Seiler , Ferdinand Evers

It is well known that cross-sections in perturbative QCD receive large corrections from soft and collinear radiation, whose properties must be resummed to all orders in the coupling. Whether or not the universal properties of this radiation…

高能物理 - 唯象学 · 物理学 2020-04-22 Melissa van Beekveld , Wim Beenakker , Eric Laenen , Chris D. White

Tensor renormalization group (TRG) constitutes an important methodology for accurate simulations of strongly correlated lattice models. Facilitated by the automatic differentiation technique widely used in deep learning, we propose a…

强关联电子 · 物理学 2020-07-07 Bin-Bin Chen , Yuan Gao , Yi-Bin Guo , Yuzhi Liu , Hui-Hai Zhao , Hai-Jun Liao , Lei Wang , Tao Xiang , Wei Li , Z. Y. Xie

We compute the two-loop $\beta$-function of scalar and spinorial quantum electrodynamics as well as pure Yang-Mills and quantum chromodynamics using the background field method in a fully quadridimensional setup using Implicit…

高能物理 - 唯象学 · 物理学 2021-06-29 A. Cherchiglia , D. C. Arias-Perdomo , A. R. Vieira , M. Sampaio , B. Hiller

We derive an expansion of the functional renormalization (fRG) equations that treats the frequency and momentum dependencies of the vertices in a systematic manner. The scheme extends the channel-decomposed fRG equations to the frequency…

强关联电子 · 物理学 2021-07-07 Nahom K. Yirga , David K. Campbell

We present a family of algorithms, called descent algorithms, for optimizing convex and non-convex functions. We also introduce a new first-order algorithm, called rescaled gradient descent (RGD), and show that RGD achieves a faster…

最优化与控制 · 数学 2020-01-07 Ashia Wilson , Lester Mackey , Andre Wibisono

The locality of field theories strongly constrains the possible behaviors of symmetry-twisted partition functions, and thus they serve as order parameters to detect low-energy realizations of global symmetries, such as spontaneous symmetry…

高能物理 - 格点 · 物理学 2026-04-06 Shinichiro Akiyama , Raghav G. Jha , Jun Maeda , Yuya Tanizaki , Judah Unmuth-Yockey

Within the Functional Renormalisation Group (FRG) approach, we present a fluid-dynamical approach to solving flow equations for models living in a multi-dimensional field space. To this end, the underlying exact flow equation of the…

统计力学 · 物理学 2024-12-23 Niklas Zorbach , Adrian Koenigstein , Jens Braun

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process $\gamma^* \pi^0 \to\gamma$ can be factorized when the virtuality of the initial photon is large. In…

高能物理 - 唯象学 · 物理学 2008-11-26 J. P. Ma , Q. Wang

We study the unintegrated, or transverse momentum dependent (TMD) gluon distribution obtained from the best description of the LHC data on the inclusive spectra of hadrons produced in the mid-rapidity region and low transverse momenta at…

高能物理 - 唯象学 · 物理学 2014-01-15 A. V. Lipatov , G. I. Lykasov , N. P. Zotov

We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal…

高能物理 - 理论 · 物理学 2009-09-28 Chungku Kim

Exact functional renormalization group (FRG) flow equations for quantum systems can be derived directly within an operator formalism without using functional integrals. This simple insight opens new possibilities for applying FRG methods to…

强关联电子 · 物理学 2023-09-20 Andreas Rückriegel , Jonas Arnold , Rüdiger Krämer , Peter Kopietz

We derive an operator based factorization theorem for the energy-energy correlation (EEC) observable in the back-to-back region, allowing the cross section to be written as a convolution of hard, jet and soft functions. We prove the…

高能物理 - 唯象学 · 物理学 2019-01-16 Ian Moult , Hua Xing Zhu

We parameterize the enhancement of threshold effects away from hadronic endpoint that arise due to the steeply falling nature of parton distribution functions, within the context of soft-collinear effective theory. This is accomplished in a…

高能物理 - 唯象学 · 物理学 2010-12-14 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

We present the first calculation of fermion spectral function at finite temperature in quark-meson model in the framework of the functional renormalization group (FRG). We compare the results in two truncations, after first evolving flow…

高能物理 - 唯象学 · 物理学 2018-12-05 Ziyue Wang , Lianyi He

We compute the gluon transverse-momentum-dependent fragmentation function (TMDFF) at next-to-leading order (NLO) into heavy quarkonium in the color-octet $^3S_1^{[8]}$ channel, based on the NRQCD factorization approach. The spurious…

高能物理 - 唯象学 · 物理学 2024-01-02 Miguel G. Echevarria , Samuel F. Romera , Ignazio Scimemi

The evolution of transverse momentum dependent (TMD) distributions in Quantum Chromodynamics (QCD) can be formulated in a parton branching (PB) framework. We show that next-to-next-to-leading-logarithm (NNLL) accuracy can be achieved in…

We investigate QCD threshold resummation effects beyond the next-to-leading logarithmic (NLL) order for the process H1 H2->h1 h2 X at high invariant mass of the produced hadron pair. We take into account the color structure of the…

高能物理 - 唯象学 · 物理学 2015-06-23 Patriz Hinderer , Felix Ringer , George F. Sterman , Werner Vogelsang

We present a systematic framework to study the threshold contributions of the differential rapidity distribution for the production of any number of colorless particles in the hadronic colliders. This has been achieved based on the…

高能物理 - 唯象学 · 物理学 2021-10-29 Taushif Ahmed , Ajjath A. H. , Pooja Mukherjee , V. Ravindran , Aparna Sankar