Graphical functions in even dimensions

Borinsky M, Schnetz O (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Communications in Number Theory and Physics International Press

Book Volume: 16

Pages Range: 515-614

Journal Issue: 3

DOI: 10.4310/cntp.2022.v16.n3.a3

Abstract

Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one-or two -scale processes at high loop orders. With graphical functions, renormalization constants have been calculated to loop orders seven and eight in four-dimensional phi(4) theory and to order five in six -dimensional phi(3) theory. In this article we present the theory of graphical functions in even dimensions >= 4 with detailed reviews of known properties and full proofs whenever possible.

Authors with CRIS profile

Oliver Schnetz Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

National Institute for Subatomic Physics / Nationaal instituut voor subatomaire fysica (Nikhef) NL Netherlands (NL)

How to cite

APA:

Borinsky, M., & Schnetz, O. (2022). Graphical functions in even dimensions. Communications in Number Theory and Physics, 16(3), 515-614. https://dx.doi.org/10.4310/cntp.2022.v16.n3.a3

MLA:

Borinsky, Michael, and Oliver Schnetz. "Graphical functions in even dimensions." Communications in Number Theory and Physics 16.3 (2022): 515-614.

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