Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


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.

If you intend to submit a paper to this volume, for planning purposes please indicate preliminary title, authors, and estimated length ahead of time to one of the editors.

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.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.


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