Symmetries I: Continuous Symmetries

Part of the Lecture Notes in Physics book series (LNP, volume 839)


The concept of symmetry is paramount in modern Physics. In this chapter we are going to deal with the implementation of symmetries in quantum field theory. After reviewing the relation between continuous symmetries and conservations laws, we study how symmetries are realized quantum mechanically and in which way different realizations reflect in the spectrum of the theory. Our aim is to describe the concept of spontaneous symmetry breaking, which is crucial to our current understanding of how particle masses emerge in the standard model.


Scalar Field Gauge Field Vacuum Expectation Goldstone Boson Spontaneous Symmetry Breaking 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Theory Unit, Physics DepartmentCERNGenevaSwitzerland
  2. 2.Departamento de Física FundamentalUniversidad de SalamancaSalamancaSpain

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