A note on the Kastler-Kalau-Walze theorem and the spectral action principle

Fabrizio Coiai; Mauro Spera

A note on the Kastler-Kalau-Walze theorem and the spectral action principle

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Abstract

A short proof of the so-called Kastler–Kalau–Walze theorem is given, by resorting to the ζ -function definition of the Wodzicki residue. Moreover, comments are made on the relationship between the Einstein–Hilbert and the spectral action, after suitably rewriting the latter in terms of the Weyl functional.

Original language	English
Pages (from-to)	415-419
Number of pages	5
Journal	Classical and Quantum Gravity
Volume	18
Publication status	Published - 2001

Keywords

noncommutative geometry, Wodzicki residue, spectral action principle

Cite this

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title = "A note on the Kastler-Kalau-Walze theorem and the spectral action principle",

abstract = "A short proof of the so-called Kastler–Kalau–Walze theorem is given, by resorting to the ζ -function definition of the Wodzicki residue. Moreover, comments are made on the relationship between the Einstein–Hilbert and the spectral action, after suitably rewriting the latter in terms of the Weyl functional.",

keywords = "noncommutative geometry, Wodzicki residue, spectral action principle, noncommutative geometry, Wodzicki residue, spectral action principle",

author = "Fabrizio Coiai and Mauro Spera",

year = "2001",

language = "English",

volume = "18",

pages = "415--419",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd.",

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T1 - A note on the Kastler-Kalau-Walze theorem and the spectral action principle

AU - Coiai, Fabrizio

AU - Spera, Mauro

PY - 2001

Y1 - 2001

N2 - A short proof of the so-called Kastler–Kalau–Walze theorem is given, by resorting to the ζ -function definition of the Wodzicki residue. Moreover, comments are made on the relationship between the Einstein–Hilbert and the spectral action, after suitably rewriting the latter in terms of the Weyl functional.

AB - A short proof of the so-called Kastler–Kalau–Walze theorem is given, by resorting to the ζ -function definition of the Wodzicki residue. Moreover, comments are made on the relationship between the Einstein–Hilbert and the spectral action, after suitably rewriting the latter in terms of the Weyl functional.

KW - noncommutative geometry, Wodzicki residue, spectral action principle

UR - http://hdl.handle.net/10807/35979

M3 - Article

SN - 0264-9381

VL - 18

SP - 415

EP - 419

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

ER -

A note on the Kastler-Kalau-Walze theorem and the spectral action principle

Abstract

Keywords

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