A FRIENDLY OVERVIEW OF NONCOMMUTATIVE GEOMETRY

被引：1

作者：

Sitarz, Andrzej ^{[1
]}

机构：

[1] Jagiellonian Univ, Marian Smoluchowski Inst Phys, PL-30059 Krakow, Poland

来源：

ACTA PHYSICA POLONICA B | 2013年 / 44卷 / 12期

关键词：

SPECTRAL TRIPLES; DIRAC OPERATORS; ALGEBRA; GRAVITY;

D O I：

10.5506/APhysPolB.44.2643

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a brief overview of tools and methods of noncommutative geometry and its applications to theoretical physics. Starting with some mathematical background and basic foundations of NCG, we describe the new notion of geometry and demonstrate that changing the paradigm of geometry allows to interpret the physical reality of fundamental interactions from a completely new angle. We present some easy do-it-yourself toy models, which help to understand the principles and results hidden behind the interpretation of the Standard Model in the language of noncommutative geometry.

引用

页码：2643 / 2667

页数：25

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