Elementary Particle Physics (Quantum Field Theory and Particles) || Appendix I: Answers to the Problems

✍ Scribed by Nagashima, Yorikiyo

• Publisher: Wiley-VCH Verlag GmbH & Co. KGaA
• Year: 2010
• Tongue: German
• Weight: 455 KB
• Edition: 1
• Category: Article
• ISBN: 3527409629
• DOI: 10.1002/9783527630097.app9

✦ Synopsis

Chapter 2: Particles and Fields Problem 2.2: For a static solution @ 0 D 0. Applying

Problem 3.2: (3.28e): A relativistic wave equation for a scalar field is given by the Klein-Gordon equation. It has a plane wave solution e i kµ x µ , which should be a Lorentz scalar. Then k µ x µ is also a scalar, which in turn means k µ is a Lorentz vector. Another way of saying that k µ x µ is a Lorentz scalar is it is a phase, i.e. a pure number which does not depend on the coordinate frame.