 #1
shinobi20
 257
 17
 Homework Statement:
 Show that the electromagnetic field tensor is antisymmetric from the fact that ##p_\mu p_\nu F^{\mu \nu} = 0##.
 Relevant Equations:

##p_\mu p_\nu F^{\mu \nu} = 0##
where ##p_\mu## is the 4momentum and ##F^{\mu \nu}## is the EM field tensor
I am trying to answer exercise 5 but I am not sure I understand what the hint is implying, differentiate with respect to ##p_\alpha## and ##p_\beta##, I have done this but nothing is clicking. Also, what is the relevance of the hint "the constraint ##p^\alpha p_\alpha = m^2c^2## can be ignored ..."? Please help me clarify what the author wants me to think or do in accordance to the hint.