Virtual particles and Einstein energy relation

In summary, there is a lot of discussion about virtual particles not necessarily satisfying the energy relation E2 = p2 + m2. Some suggest that the energy relation is violated in higher order perturbation theory, while others argue that it still holds true for real masses. There are resources available online to further explore and derive these concepts.
  • #1
superphillain
1
0
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
 
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  • #2
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...
 
  • #4
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
 
  • #5
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.
 

FAQ: Virtual particles and Einstein energy relation

What are virtual particles?

Virtual particles are hypothetical particles that are constantly popping in and out of existence in the quantum vacuum. These particles are not directly observable, but their effects can be measured through various physical phenomena.

How are virtual particles related to Einstein's energy relation?

Einstein's energy relation, E=mc^2, states that energy and mass are equivalent. Virtual particles, being constantly created and destroyed, contribute to the total energy of a system. This means that the energy of virtual particles must be taken into account when calculating the total energy of a system.

Can virtual particles become real particles?

Yes, virtual particles have the ability to become real particles under certain conditions. This occurs through a process called pair production, where a virtual particle and its antiparticle become real and separate from each other.

Do virtual particles violate the law of conservation of energy?

No, virtual particles do not violate the law of conservation of energy. Although they may appear to spontaneously appear and disappear, the total energy of the system remains constant. This is because the energy of virtual particles is borrowed from the vacuum and must be paid back within a very short time frame.

What is the significance of virtual particles in particle physics?

Virtual particles play a significant role in particle physics as they help explain various physical phenomena, such as the Casimir effect and Hawking radiation. They also provide a way to understand the behavior and interactions of particles at a quantum level.

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