Spectral action for Robertson-Walker metrics

被引：17
|
作者：
Chamseddine, Ali H. [1 ,3 ,5 ,6 ,7 ]
Connes, Alain [2 ,3 ,4 ]
机构：
[1] Amer Univ Beirut, Dept Phys, Beirut, Lebanon
[2] Coll France, F-75005 Paris, France
[3] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France
[4] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[5] Loire Valley Inst Adv Studies, LE STUDIUM, Tours, France
[6] Loire Valley Inst Adv Studies, LE STUDIUM, Orleans, France
[7] Univ Tours, Lab Math & Phys Theor, Tours, France
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 10期
基金：
美国国家科学基金会;
关键词：
Non-Commutative Geometry; Models of Quantum Gravity; OPERATOR; GRAVITY;
D O I：
10.1007/JHEP10(2012)101
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We use the Euler-Maclaurin formula and the Feynman-Kac formula to extend our previous method of computation of the spectral action based on the Poisson summation formula. We show how to compute directly the spectral action for the general case of Robertson-Walker metrics. We check the terms of the expansion up to a(6) against the known universal formulas of Gilkey and compute the expansion upto a(10) using our direct method.
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收藏
页数：30
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