Special Issue on Algebraic Structures in Perturbative Quantum Field Theory in honor of Dirk Kreimer for his 60th birthday

The Guest Editors for this special issue are

Kurusch Ebrahimi-Fard (Norwegian University of Science and Technology, Norway)
Erik Panzer (University of Oxford, UK)
Karen Yeats (University of Waterloo, Canada)

This special issue is dedicated to mathematical structures with a connection to perturbative quantum field theory, for example:

• Hopf algebras, renormalization, Dyson–Schwinger equations;
• formal power series, resummation;
• motivic Feynman integrals and Galois theory;
• graph polynomials;
• multiple zeta values, multiple polylogarithms, special functions;
• singularities and monodromies of Feynman integrals.

This issue is related to the conference in honor of Dirk Kreimer on his 60th birthday held at IHES in Bures-sur-Yvette, France, November 16–20, 2020. The speakers and participants of the conference, and other researchers whose work is directly concerned with the above topics, are invited to submit papers to the special issue.

We want to emphasise that all papers in this special issue should be original, although exceptional survey papers will be considered.

How to Submit an Article to the Issue.

There is no limit to the length of an article. Deadline for paper submission is 28 February 2021.

All articles will go through the standard peer reviewing procedure of SIGMA and, in particular, will be refereed by at least two experts in the field.

Papers in this Issue:

Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: $\phi^3$ QFT in 6 Dimensions

Michael Borinsky, Gerald V. Dunne and Max Meynig
SIGMA 17 (2021), 087, 26 pages   [ abs   pdf ]

Algebraic Structures on Typed Decorated Rooted Trees

Loïc Foissy
SIGMA 17 (2021), 086, 28 pages   [ abs   pdf ]

Perturbative and Geometric Analysis of the Quartic Kontsevich Model

Johannes Branahl, Alexander Hock and Raimar Wulkenhaar
SIGMA 17 (2021), 085, 33 pages   [ abs   pdf ]

Resurgent Analysis of Ward-Schwinger-Dyson Equations

Marc P. Bellon and Enrico I. Russo
SIGMA 17 (2021), 075, 18 pages   [ abs   pdf ]

New Techniques for Worldline Integration

James P. Edwards, C. Moctezuma Mata, Uwe Müller and Christian Schubert
SIGMA 17 (2021), 065, 19 pages   [ abs   pdf ]

Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry

John A. Gracey
SIGMA 17 (2021), 064, 20 pages   [ abs   pdf ]

Double Box Motive

Spencer Bloch
SIGMA 17 (2021), 048, 12 pages   [ abs   pdf ]