A FRIENDLY OVERVIEW OF NONCOMMUTATIVE GEOMETRY

作者:Sitarz Andrzej*
来源:Acta Physica Polonica B, 2013, 44(12): 2643-2667.
DOI:10.5506/APhysPolB.44.2643

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.

  • 出版日期2013-12

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