Quantum field theory (QFT)

Theoretical framework on which quantum field theories are based, theories based on framework include:

so basically the entire Standard Model

The basic idea is that there is a field for each particle particle type.

E.g. in QED, one for the electron and one for the photon: physics.stackexchange.com/questions/166709/are-electron-fields-and-photon-fields-part-of-the-same-field-in-qed.

And then those fields interact with some Lagrangian.

One way to look at QFT is to split it into two parts:

deriving the Lagrangians of the Standard Model: why do symmetries such as SU(3), SU(2) and U(1) matter in particle physics?s. This is the easier part, since the lagrangians themselves can be understood with not very advanced mathematics, and derived beautifully from symmetry constraints
the qantization of fields. This is the hard part Ciro Santilli is unable to understand, TODO mathematical formulation of quantum field theory.

Then interwined with those two is the part "OK, how to solve the equations, if they are solvable at all", which is an open problem: Yang-Mills existence and mass gap.

There appear to be two main equivalent formulations of quantum field theory:

Video 1. Quantum Field Theory visualized by ScienceClic English (2020) Source. Gives one piece of possibly OK intuition: quantum theories kind of model all possible evolutions of the system at the same time, but with different probabilities. QFT is no different in that aspect.

youtu.be/MmG2ah5Df4g?t=209 describes how the spin number of a field is directly related to how much you have to rotate an element to reach the original position
youtu.be/MmG2ah5Df4g?t=480 explains which particles are modelled by which spin number

Video 2. Quantum Fields: The Real Building Blocks of the Universe by David Tong (2017) Source. Boring, does not give anything except the usual blabla everyone knows from Googling:

youtu.be/zNVQfWC_evg?t=1335 shows www.youtube.com/watch?v=9TJe1Pr5c9Q from quantum field theory simulations
youtu.be/zNVQfWC_evg?t=1522 alludes to the Birch and Swinnerton-Dyer conjecture

Video 3. Quantum Field Theory: What is a particle? by Physics Explained (2021) Source. Gives some high level analogies between high level principles of non-relativistic quantum mechanics and special relativity in to suggest that there is a minimum quanta of a relativistic quantum field.

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Quantum field theory (QFT)

 Ancestors

 Incoming links

 Synonyms