Spectral Noncommutative Geometry Standard Model and all that

被引:13
作者
Devastato, Agostino [1 ]
Kurkov, Maxim [1 ,2 ]
Lizzi, Fedele [1 ,2 ,3 ,4 ]
机构
[1] Ist Nazl Fis Nucl, Sez Napoli, Naples, Italy
[2] Univ Napoli Federico II, Dipartimento Fis Ettore Pancini, Naples, Italy
[3] Univ Barcelona, Dept Fis Quant & Astrofis, Barcelona, Spain
[4] Univ Barcelona, Inst Ciencies Cosmos ICCUB, Barcelona, Spain
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2019年 / 34卷 / 19期
关键词
Noncommutative geometry; Standard Model; QUANTUM-FIELD THEORY; RENORMALIZATION-GROUP EQUATIONS; ALMOST-COMMUTATIVE GEOMETRIES; HIGGS MASS; GRAVITY; REGULARIZATION; SPACE;
D O I
10.1142/S0217751X19300102
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We review the approach to the Standard Model of particle interactions based on spectral noncommutative geometry. The paper is (nearly) self-contained and presents both the mathematical and phenomenological aspects. In particular, the bosonic spectral action and the fermionic action are discussed in detail, and how they lead to phenomenology. We also discuss the Euclidean versus Lorentz issues and how to go beyond the Standard Model in this framework.
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页数:69
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