Virtual particles and Einstein energy relation

[superphillain]

So, all I ever keep reading is that virtual particles don't HAVE to satisfy E² = p² + m². Should it instead be that they don't satisfy the energy relation. Also, can someone show the general case mathematically how the energy relation is violated. If it's easier maybe a simple example of an electron emitting and absorbing a virtual photon or some simple electron-positron interaction. Thanks

 

[ansgar]

this question is asked everywhere here, why don't you just pick up any book or lecture notes set found on the internet and derive that yourself? :)

I can give you links if you want to see it...

 

[arivero]

https://www.physicsforums.com/showpost.php?p=2547564&postcount=19

 

[torquil]

I might add to the above answers that in higher order perturbation theory, with diagrams containing loops, there are virtual particles for which all values of the momentum 4-vector contributes to the amplitude. The amount of contribution, however, varies a lot between different values of this 4-vector.

Torquil

 

[arivero]

I think that people is interested in the topic because of space-like thing. Superluminal mystic. Fortunately the mass in the propagator is the real mass.