This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 253a/Schwartz Due October 26, 2010 Problem Set 7 1. Majorana representation a) Write out the form of the Lorentz generators in the Majorana representation. b) Calculate 5 = i 1 2 3 in the Majorana representation. 2. In practice, we only rarely use explicit representations of the Dirac matrices. Most calcu lations can be done using algebraic identities that depend only on { , } = 2 . Derive algebraically (without using an explicit representation): a) ( 5 ) 2 = 1 b) p = 2 p c) p q p = ? d) { 5 , } = ? e) Tr[ ] = 4(  + ) 3. Show that s u s ( p ) u s ( p ) = p + m and s v s ( p ) v s ( p ) = p m . 4. Derive the Gordon identity (with = i 2 [ , ] ): u ( q ) u ( p ) = u ( q ) bracketleftbigg q + p 2 m + i ( q  p ) 2 m bracketrightbigg u ( p ) . (1) We will use this when we calculate the 1loop correction the electrons magnetic dipole moment....
View
Full
Document
This note was uploaded on 02/04/2012 for the course PHYS 253A at Harvard.
 '10
 SCHWARTZ

Click to edit the document details