Results and techniques for higher order calculations within the gradient-flow formalism

DOI10.1007/JHEP06(2019)121zbMath1445.81069arXiv1905.00882OpenAlexW3096103617MaRDI QIDQ2314968

Mario Prausa, Johannes Artz, Tobias Neumann, Fabian Lange, Robert V. Harlander

Publication date: 30 July 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00882

zbMATH Keywords

lattice QCDperturbative QCD

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05)

Related Items (1)

Integral reduction with Kira 2.0 and finite field methods

Uses Software

• Hypexp
• Mathematica
• RunDec
• FireFly
• MPFR
• FORM
• FIESTA
• FIESTA 3
• TikZ-Feynman
• HyperInt
• Kira

Cites Work

• Unnamed Item
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• Finding linear dependencies in integration-by-parts equations: a Monte Carlo approach
• Perturbative analysis of the gradient flow in non-Abelian gauge theories
• FORM version 4.0
• Sparse interpolation of multivariate rational functions
• Infinite \(N\) phase transitions in continuum Wilson loop operators
• Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Hypexp 2, expanding hypergeometric functions about half-integer parameters
• Interpolating polynomials from their values
• Trivializing maps, the Wilson flow and the HMC algorithm
• Multiple polylogarithms, cyclotomy and modular complexes
• Numerical evaluation of multi-loop integrals by sector decomposition
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• AdS geometry from CFT on a general conformally flat manifold
• Ti\(k\)Z-Feynman: Feynman diagrams with Ti\(k\)Z
• Quasi parton distributions and the gradient flow
• Automatic Feynman graph generation
• Kira -- a Feynman integral reduction program
• Properties and uses of the Wilson flow in lattice QCD
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• Reconstructing rational functions with \texttt{FireFly}
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Lattice energy-momentum tensor from the Yang-Mills gradient flow--inclusion of fermion fields
• Geometries from field theories
• An Imbedded Family of Fully Symmetric Numerical Integration Rules
• MPFR
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
• Special values of multiple polylogarithms
• Maximal quotient rational reconstruction
• Energy–momentum tensor from the Yang–Mills gradient flow
• Flow equation, conformal symmetry, and anti-de Sitter geometry
• Gradient flow and the Wilsonian renormalization group flow
• Holographic computation of quantum corrections to the bulk cosmological constant
• Flow equation for the large N scalar model and induced geometries
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Version 3 of \texttt{RunDec} and \texttt{CRunDec}

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