Exercise List #3

Classical Field Theory

October 28, 2009

1. Prove the following facts regarding the Levi-Civita symbol.

• 

abc



cde

= δ

a

d

δ

b

e

− δ

a

e

δ

b

d

,

• 

abcd

= −

abcd

,

• 

abcd

→ 

abcd

0

= 

abcd

under Lorentz transformation.