Heat Trace Asymptotics on Noncommutative Spaces

2007/08/31 by Dmitri Vassilevich, Dmitri V. Vassilevich · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.MP

paper · pdf · doi:10.3842/sigma.2007.093

published as SIGMA 3:093,2007 · This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

arxiv created 2007/09/25 · openalex publication_date 2007/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.

Citations

• Gauge Invariance, Finite Temperature, and Parity Anomaly inD<mml:mspace/>=<mml:mspace/>3
• Position-dependent noncommutative products: Classical construction and field theory
• Heat Kernel and Number Theory on NC-Torus

Cited by

• Nilpotent noncommutativity and renormalization
• Noncommutative Geometries and Gravity

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