hw3 - Homework Set No. 3, Physics 880.02 Deadline Tuesday,...

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: Homework Set No. 3, Physics 880.02 Deadline Tuesday, February 17, 2009 1. Just like in class consider 2-flavor QCD with massless quarks: q ( x ) = u ( x ) d ( x ) , q L,R = 1 5 2 q. The Lagrangian is L = q L i q L + q R i q R . The left- and right-handed isospin currents are j i L = q L i 2 q L and j i R = q R i 2 q R with the charges Q i L ( t ) = Z d 3 x j i L, ( ~x, t ) and Q i R ( t ) = Z d 3 x j i R, ( ~x, t ) . a. (10 pts) Using anti-commutation relations n q a ( ~x, t ) , q b ( ~x , t ) o = ab ( ~x- ~x ) show that for any matrices 1 and 2 (which are matrices both in Dirac and flavor spaces) the following relation holds q ( ~x , t ) 1 q ( ~x , t ) , q ( ~x, t ) 2 q ( ~x, t ) = ( ~x- ~x ) q ( ~x, t ) [ 1 , 2 ] q ( ~x, t ) . b. (10 pts) Using the result of part a show that Q i L and Q i R form a chiral algebra of SU (2) L SU (2) R , i.e., prove that Q i L , Q j...
View Full Document

This note was uploaded on 07/28/2011 for the course PHYSICS 880.02 taught by Professor Kovchegov during the Winter '09 term at Ohio State.

Page1 / 2

hw3 - Homework Set No. 3, Physics 880.02 Deadline Tuesday,...

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