Abstract
The previous two chapters were devoted to introducing the basic ingredients necessary in building up a physical description of elementary particles: the fermion matter fields and the gauge fields responsible for the interactions. The time has come to combine these elements into a description of the physics of elementary particles. The result will be the standard model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Here we have to remember that the isospin operators acting on the Hilbert space of three particles have the form \(I_{i}=I_{i}^{(1)}\otimes{\mathbf 1}\otimes{\mathbf 1}+ {\mathbf 1}\otimes I_{i}^{(2)}\otimes {\mathbf 1}+{\mathbf 1}\otimes{\mathbf 1}\otimes I_{i}^{(3)},\) where \(I^{(a)}_{i}\) is the isospin operator acting on the Hilbert space of the a-th particle.
- 2.
At the end of this chapter we will see that this is itself not free of problems. How these are overcome will be explained in Chap. 10.
- 3.
- 4.
A word of warning is in order here. Although denoted by the same letter, the fields in the quark doublets are not necessarily the same ones that appear as the hadron constituents in the quark model. The two are related by a linear combination. This for the time being cryptic remark will find clarification in Chap. 10 (see page 197).
References
Glashow, S.L.: Partial symmetries of weak interactions. Nucl. Phys. 22, 579 (1961)
Weinberg, S.: A model of leptons. Phys. Rev. Lett. 19, 1264 (1967)
Salam, A.: Weak and electromagnetic interactions. In: Svartholm, N. (ed.) Elementary Particle Theory: Relativistic Groups and Analiticity, Almqvist and Wiksell, Stockholm (1968)
Perkins, D.H.: Introduction to High Energy Physics, 4th edn. Cambridge University Press, Cambridge (2000)
Burgess, C., Moore, G.: The Standard Model. A Primer, Cambridge (2007)
Paschos, E.A.: Electroweak Theory. Cambridge University Press, Cambridge (2007)
Cottingham, W.N., Greenwood, D.A.: An Introduction to the Standard Model of Particle Physics. Cambridge University Press, Cambridge (2007)
Bettini, A.: Introduction to Elementary Particle Physics. Cambridge University Press, Cambridge (2008)
Nakamura, K. et al.: Review of particle physics. J. Phys. G 37, 075021 (2010)
Epelbaum, E., Hammer, H.W., Meißner, U.-G.: Modern theory of nuclear forces. Rev. Mod. Phys. 81, 1773 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Álvarez-Gaumé, L., Vázquez-Mozo, M.Á. (2012). Theories and Lagrangians III: The Standard Model. In: An Invitation to Quantum Field Theory. Lecture Notes in Physics, vol 839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23728-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-23728-7_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23727-0
Online ISBN: 978-3-642-23728-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)