Special Issue on Noncommutative Spaces and Fields

The Guest Editors for this special issue are

Paolo Aschieri (E. Fermi Centre, Rome and University Piemonte Orientale, Alessandria, Italy)
Harald Grosse (University of Vienna, Austria)
Giovanni Landi (University of Trieste, Italy)
Richard Szabo (Heriot-Watt University, Edinburgh, United Kingdom)

Over the years, noncommutative geometry has developed into a new branch of pure mathematics, and has also influenced and found applications in many other areas of mathematics. It has been further applied in a variety of physical contexts, most notably to gauge theories, the Standard Model, the fractional quantum Hall effect, string theory and M-theory, and various scenarios for quantum gravity. Quantum field theories on noncommutative spaces have also taught us lessons about foundational issues in field theory and gravity. The aim of this special issue of SIGMA is to provide a contemporary overview of some of the main developments and applications of noncommutative geometry, ranging from formal considerations to phenomenological applications.

Topics for this special issue will include:

• gravity in noncommutative geometry;
• formal aspects of noncommutative quantum field theory, such as renormalization;
• noncommutative instantons, solitons and vortices;
• quantum groups, deformation quantization, and related structures;
• physical applications, such as the Standard Model and potential phenomenology.

Papers on these or related topics are welcome for this issue.

How to Submit an Article to the Issue.

Both original research articles and review papers will be considered (not having been published elsewhere).

There is no limit to the length of an article. Deadline for paper submission is March 30, 2010.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. We will start the reviewing process and 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.

The poster of the issue is available in A4 format and A3 format.