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Quantum Field Theory || Relativistic Fields

โœ Scribed by Huang, Kerson


Publisher
Wiley-VCH Verlag GmbH
Year
1998
Tongue
English
Weight
468 KB
Edition
1
Category
Article
ISBN
0471141208

No coin nor oath required. For personal study only.

โœฆ Synopsis


Relativistic quantum fields can be classified according to the way they transform under Lorentz transformations. More specifically, they transform according to irreducible representations of the Lorentz group. The different representations give rise to particles with different values of the spin angular momentum.

According to the principle of special relativity, the laws of physics should be covariant with respect to Lorentz transformations; that is, they should have the same forms in all reference frames connected by Lorentz transformations. The simplest Lorentz transformation is a "boost" of the reference frame with velocity v along some axis, say, the x axis:

This may be supplemented by a rotation of the coordinate system, say, about the z axis through an angle 8: x' = x cos0 + y sin8 y' = -x sin8 + y C O S ~ Defining a boost "angle" by cosh4 = 1lVl -v 2 sinh4 = v d l -v2 (3.3)


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