An essay on the spectral action and its relation to quantum gravity

被引：2
|
作者：
Paschke, Mario [1 ]
机构：
[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
来源：
QUANTUM GRAVITY: MATHEMATICAL MODELS AND EXPERIMENTAL BOUNDS | 2007年
关键词：
noncommutative geometry; spectral action principle; standard model of particle physics; generally covariant quantum theory;
D O I：
10.1007/978-3-7643-7978-0_7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a brief, critical account of Connes' spectral action principle, its physical motivation, interpretation and its possible relation to a quantum theory of the gravitational field coupled to matter. We then present some speculations concerning the quantization of the spectral action and the perspectives it might offer, most notably the speculation that the standard model, including the gauge groups and some of its free parameters, might be derived from first principles.
引用
收藏
页码：127 / 150
页数：24
相关论文
共 50 条
  • [21] Spectral action approach to higher derivative gravity
    Mistry, Ravi
    Pinzul, Aleksandr
    Rachwal, Leslaw
    EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (03):
  • [22] Spectral action approach to higher derivative gravity
    Ravi Mistry
    Aleksandr Pinzul
    Lesław Rachwał
    The European Physical Journal C, 2020, 80
  • [23] R2 phase diagram of quantum Einstein gravity and its spectral dimension
    Rechenberger, Stefan
    Saueressig, Frank
    PHYSICAL REVIEW D, 2012, 86 (02):
  • [24] Euclidean quantum gravity in light of spectral geometry
    Esposito, G
    SPECTRAL GEOMETRY OF MANIFOLDS WITH BOUNDARY AND DECOMPOSITION OF MANIFOLDS, 2005, 366 : 23 - 42
  • [25] Holonomy loops, spectral triples and quantum gravity
    Aastrup, Johannes
    Grimstrup, Jesper Moller
    Nest, Ryszard
    CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (16)
  • [26] Lorentzian Quantum Gravity and the Graviton Spectral Function
    Fehre, Jannik
    Litim, Daniel F.
    Pawlowski, Jan M.
    Reichert, Manuel
    PHYSICAL REVIEW LETTERS, 2023, 130 (08)
  • [27] Spectral dimension in causal set quantum gravity
    Eichhorn, Astrid
    Mizera, Sebastian
    CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (12)
  • [28] Information theory, spectral geometry, and quantum gravity
    Kempf, Achim
    Martin, Robert
    PHYSICAL REVIEW LETTERS, 2008, 100 (02)
  • [29] New developments in the spectral asymptotics of quantum gravity
    Esposito, Giampiero
    Fucci, Guglielmo
    Kamenshchik, Alexander Yu
    Kirsten, Klaus
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (21): : 6317 - 6322
  • [30] Canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
    Bodendorfer, N.
    Schaefer, A.
    Schliemann, J.
    PHYSICAL REVIEW D, 2018, 97 (08)
12345