Timeline for Ward identity in scalar QED; gauge transformations & plane wave solutions for polarization

9 events

when toggle format	what		by	license	comment
Mar 4 at 3:08	comment	added	ShKol		You already have $A_{\mu} = \epsilon_{\mu}(p)e^{ipx}$. Choose $\alpha = -if(p)e^{ipx}$. This means the gauge transformed field is $A_{\mu} = \epsilon_{\mu}(p)e^{ipx} + \partial_{\mu}(-if(p)e^{ipx}) = ( \epsilon_{\mu}(p) +f(p)p_{\mu})e^{ipx}$ which is the new solution that has been proposed.
Mar 3 at 16:54	comment	added	Sophie Schot		I'm sorry, I don't think I'm quite understanding, do you mean that $\alpha = f(p)p_{\mu}$ generates the proposed ansatz?
S Mar 3 at 16:01	history	suggested	ShKol	CC BY-SA 4.0	Math notation
Mar 3 at 15:13	comment	added	ShKol		I think you need to show that $\alpha = f(p)e^{ipx}$ generates the proposed ansatz (which you have verified is also a solution to the vacuum equation).
Mar 3 at 15:03	review	Suggested edits
S Mar 3 at 16:01
Mar 3 at 14:26	history	edited	Qmechanic♦	CC BY-SA 4.0	deleted 1 character in body; edited tags; edited tags
Mar 3 at 13:29	history	edited	Sophie Schot	CC BY-SA 4.0	added 1 character in body
S Mar 3 at 13:29	review	First questions
Mar 3 at 14:27
S Mar 3 at 13:29	history	asked	Sophie Schot	CC BY-SA 4.0