Theoretical framework on which quantum field theories are based, theories based on framework include: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:
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.
- 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.
There appear to be two main equivalent formulations of quantum field theory:
- David Tong
- Effective field theory
- Generalized coordinate
- Infinitely many slits thought experiment
- Jazz fusion
- Lagrangian density
- Lagrangian mechanics
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- Millennium Prize Problems
- Perturbation theory
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- Quantization of a real scalar field
- Quantum chromodynamics
- Quantum electrodynamics
- Quantum Mechanics for Engineers by Leon van Dommelen (2011)
- Second quantization
- Solutions of the Schrodinger equation for two electrons
- The wave equation can be seen as infinitely many infinitesimal coupled oscillators
- What does it mean that photons are force carriers for electromagnetism?