Scalars

Scalar field theory

In theoretical physics, scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation. The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar. Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques. The signature of the metric employed below is (+, −, −, −). (Wikipedia).

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From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM

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Poincaré group | Path integral formulation | Effective field theory | Scalar field | Lie group | Quantum harmonic oscillator | Action (physics) | Schwinger–Dyson equation | Normal mode | Scale invariance | Landau pole | Kronecker delta | Domain wall | Hamiltonian (quantum mechanics) | Self-energy | Soliton | Beta function (physics) | Conformal symmetry | Canonical quantization | Spontaneous symmetry breaking | Renormalization | Del | Quantum triviality | Pseudoscalar | Dirac delta function | Isometry | Euclidean space | Renormalization group | Perturbation theory (quantum mechanics) | Zero-point energy | Partition function (statistical mechanics) | Scalar potential | Hilbert space | Klein–Gordon equation | Metric signature | Orthogonal group | Spacetime symmetries | Physics applications of asymptotically safe gravity | Fourier transform