Spectral Action Beyond the Weak-Field Approximation

B.  Iochum; Cyril Olivier Levy; D.  Vassilevich

doi:10.1007/s00220-012-1587-8

Spectral Action Beyond the Weak-Field Approximation

B. Iochum, Cyril Olivier Levy, D. Vassilevich

Department of Mathematical Sciences

14 Citations (Scopus)

Abstract

The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, p→∞, the action decays as 1/p4 in any even dimension.

Original language	English
Journal	Communications in Mathematical Physics
Volume	316
Pages (from-to)	595-613
ISSN	0010-3616
DOIs	https://doi.org/10.1007/s00220-012-1587-8
Publication status	Published - Dec 2012

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10.1007/s00220-012-1587-8

Cite this

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title = "Spectral Action Beyond the Weak-Field Approximation",

abstract = "The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, p→∞, the action decays as 1/p4 in any even dimension.",

author = "B. Iochum and Levy, {Cyril Olivier} and D. Vassilevich",

year = "2012",

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doi = "10.1007/s00220-012-1587-8",

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journal = "Communications in Mathematical Physics",

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AU - Iochum, B.

AU - Levy, Cyril Olivier

AU - Vassilevich, D.

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N2 - The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, p→∞, the action decays as 1/p4 in any even dimension.

AB - The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, p→∞, the action decays as 1/p4 in any even dimension.

U2 - 10.1007/s00220-012-1587-8

DO - 10.1007/s00220-012-1587-8

M3 - Journal article

SN - 0010-3616

VL - 316

SP - 595

EP - 613

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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