ABSTRACT
In this chapter, we discuss discrete symmetries in quantum field theories, i.e. the transformations:
inversion of the spatial coordinate axes at a given time: https://www.w3.org/1998/Math/MathML" display="block"> x → − x , t → t https://www.w3.org/1999/xlink" xlink:href="https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003436263/11a1814b-c2ab-4d89-be15-80efb520b7b3/content/math12_1.tif"/>
or parity, which we denote with https://www.w3.org/1998/Math/MathML" display="inline"> P https://www.w3.org/1999/xlink" xlink:href="https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003436263/11a1814b-c2ab-4d89-be15-80efb520b7b3/content/math12_2.tif"/> ,
substitution of every particle by its antiparticle, and vice versa, or charge conjugation, https://www.w3.org/1998/Math/MathML" display="inline"> C https://www.w3.org/1999/xlink" xlink:href="https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003436263/11a1814b-c2ab-4d89-be15-80efb520b7b3/content/math12_3.tif"/> ,
inversion of time, or time reversal https://www.w3.org/1998/Math/MathML" display="block"> t → − t , x → x https://www.w3.org/1999/xlink" xlink:href="https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003436263/11a1814b-c2ab-4d89-be15-80efb520b7b3/content/math12_4.tif"/>
which we denote as https://www.w3.org/1998/Math/MathML" display="inline"> T https://www.w3.org/1999/xlink" xlink:href="https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003436263/11a1814b-c2ab-4d89-be15-80efb520b7b3/content/math12_5.tif"/> .
