PS7 - 253a/Schwartz Due October 26, 2010 Problem Set 7 1....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the 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 1-loop correction the electrons magnetic dipole moment....
View Full Document

This note was uploaded on 02/04/2012 for the course PHYS 253A at Harvard.

Page1 / 2

PS7 - 253a/Schwartz Due October 26, 2010 Problem Set 7 1....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online