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relativistic lagrangian

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6 - Scalar Field Theory, Origins, and Applications
from Part I - General Properties of Fields; Scalars and Gauge Fields
Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
Book:

Classical Field Theory

Published online:

04 March 2019

Print publication:

14 March 2019, pp 54-64
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Summary

We define scalar field theory, explaining its various applications in physics as either fundamental or effective field. We write a general canonical Lagrangian with a potential, and the resulting Klein–Gordon equation.Examples for this are shown, in particular the sine–Gordon model and the Higgs model. For several scalars, we show the O(N) model and, for models with a noncanonical kinetic term, the DBI model and nonlinear sigma models.