What Is a Four Potential That Yields a Photon?

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Homework Help Overview

The discussion revolves around the concept of four potentials in the context of quantum field theory, specifically relating to the electromagnetic interaction and the generation of photons.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the nature of four potentials and their relation to photons, questioning the necessity of gauge invariance and the characteristics of the functions involved in the four potential representation.

Discussion Status

The conversation includes attempts to clarify the relationship between four potentials and photons, with some participants expressing uncertainty about specific examples and the mathematical representation of these potentials. There is an ongoing exploration of the underlying principles without a clear consensus.

Contextual Notes

Participants note the complexity of the functions involved in the four potential and the dependence on multiple variables, indicating a need for further exploration of the topic.

EroticNirvana
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Hi I need a good example of a four potential that yields a photon
 
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EroticNirvana said:
Hi I need a good example of a four potential that yields a photon

The gauge field of the EM-interaction.

marlon

edit : let me ask you this question : "Do you know why a quantumfield yielding a photon must be a 4-field ?"
 
of course gauge invariance. The e-m exhibits U(1) gauge invariance. (but feel free to remind me about anything of this)

A four potential looks like this: a(q) +b(x)i + c(y)j+ d(z)k
I´m just too lazy to calculate them and have never really done it, but I need to know an example of a(q), b(x), c(y), d(z) for a photon.


marlon said:
The gauge field of the EM-interaction.

marlon

edit : let me ask you this question : "Do you know why a quantumfield yielding a photon must be a 4-field ?"
 
ok, can´t find the edit button, but of course functions a, b, c, d in the last message depend on more than one variable (perhaps all q, x, y, z).
 

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