Abstract
In order to understand relativistic particles and their spin, we need to understand the Lorentz group. We begin with basic tools for handling real and complex rotations, the latter to be defined in the following. It is sufficient to work with real rotations in three dimensions and complex rotations in two complex dimensions. The connection to the Lorentz group will appear later.
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
Preview
Unable to display preview. Download preview PDF.
References
Ryder L. H., Quantum Field Theory, Cambridge University Press, (1985)
Schiff L I., Quantum Mechanics, 3r d Ed., McGraw-Hill Pub. Co., (1968)
Itzytkson C. and Zuber J-B., Quantum Field Theory, McGraw-Hill Pub. Co., (1980)
Georgi H., Lie Algebras for Particle Physics,Benjamin-Cummings Publishing Co., (1982)
Cartan E., Theory of Spinors (English translation), Dover Publishers
Pauli W., Principles of Quantum Mechanics, Translated by P. Achuthan and K. Venkatesan, Allied Publishers and Springer-Verlag India Ltd., (1980)
Wentzel G., Quantum Theory of Fields, Interscience Publishers, (1949)
Weinberg S., Phys. Rev. 133 1318 (1964); 134, 882 (1964).
Lee T. D., Particle Physics and Introduction to Field Theory, Harwood Academic Publishers, (1982)
Lurié D., Particles and Fields,Interscience Publishers, (1968)
For Lie Group theory refer also to the recently published lectures
N. Mukunda in Introduction to Topologfy, Differential Geometry and Group Theory for Physicists by S. Mukhi and N. Mukunda, Wiley Eastern Ltd., (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Yajnik, U. (1997). Quantum Field Theory Methods: Dirac Equation and Perturbation Theory. In: Iyer, B.R., Vishveshwara, C.V. (eds) Geometry, Fields and Cosmology. Fundamental Theories of Physics, vol 88. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1695-6_6
Download citation
DOI: https://doi.org/10.1007/978-94-017-1695-6_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4902-5
Online ISBN: 978-94-017-1695-6
eBook Packages: Springer Book Archive