Editors’ preface for the special issue on Noncommutative Geometry期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Editors’ preface for the special issue on Noncommutative Geometry

Affiliation:	2. Department of Mathematics, Penn State University, University Park, State College, PA 16802, USA;1. Collège de France, 3, rue d’Ulm, Paris F-75005, France;2. Max-Planck Institut für Mathematik, Vivatsgasse 7, Bonn D-53111, Germany;1. Dipartimento di Matematica Universitá di Genova, Via L.B. Alberti, 4 16132 Genova, Italy;2. International School for Advanced Studies, SISSA-ISAS, Via Beirut 2-4, 34013 Trieste, Italy;3. Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Italy;4. Dipartimento di Fisica Nucleare e Teorica dell''Universitàdi Pavia, Via Bassi 6, I-27100 Pavia, Italy

Abstract:	We prove in the general framework of noncommutative geometry that the inner fluctuations of the spectral action can be computed as residues and give exactly the counterterms for the Feynman graphs with fermionic internal lines. We show that for geometries of dimension less than or equal to four the obtained terms add up to a sum of a Yang–Mills action with a Chern–Simons action.

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