Jove
Visualize
Contact Us

Related Experiment Videos

Simplifying Differential Equations for Multiscale Feynman Integrals beyond Multiple Polylogarithms.

Luise Adams1, Ekta Chaubey1, Stefan Weinzierl1

  • 1PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.

Physical Review Letters
|April 22, 2017
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Immune-metabolic trajectories delineate subgroups in paediatric long COVID.

Nature communications·2026
Same author

Estimating power corrections for the Drell-Yan process.

The European physical journal. Special topics·2026
Same author

The influence of the color design of auditoriums on room acoustic impression.

The Journal of the Acoustical Society of America·2026
Same author

A measuring instrument for the perceptual dimensions of road traffic noisea).

The Journal of the Acoustical Society of America·2025
Same author

A comparison of methods for modeling soundscape dimensions based on different datasetsa).

The Journal of the Acoustical Society of America·2025
Same author

Musical instruments as dynamic sound sources.

The Journal of the Acoustical Society of America·2024
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

We developed a new algorithm using Picard-Fuchs operator factorization to simplify differential equations for multiscale Feynman integrals. This method efficiently decouples complex equations, aiding calculations in quantum field theory.

Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • Quantum Field Theory

Background:

  • Multiscale Feynman integrals are crucial in quantum field theory calculations.
  • Solving differential equations for these integrals is computationally challenging.
  • Picard-Fuchs operators play a key role in analyzing these differential equations.

Purpose of the Study:

  • To develop an efficient method for decoupling differential equations of multiscale Feynman integrals.
  • To leverage the factorization properties of Picard-Fuchs operators for simplification.
  • To provide a tool for converting differential equations into a more manageable 'epsilon form'.

Main Methods:

  • Exploiting factorization properties of Picard-Fuchs operators.
  • Developing an algorithm to decouple differential equations.

Related Experiment Videos

  • Reducing differential equations to blocks based on irreducible factors.

    • Main Results:

    • Successfully decoupled differential equations for multiscale Feynman integrals.
    • The algorithm reduces complexity by factoring the Picard-Fuchs operator.
    • Enabled straightforward conversion of Feynman integral differential equations to epsilon form.

    Conclusions:

    • The proposed method offers an efficient approach to solving complex Feynman integral equations.
    • Factorization of Picard-Fuchs operators is a powerful technique for simplification.
    • The developed algorithm facilitates calculations involving multiple polylogarithms.