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Quantum Field Theory (QFT) is the theoretical framework describing the quantisation of classical fields which allows a Lorentz-invariant formulation of quantum mechanics. QFT is used both in high energy physics as well as condensed matter physics and closely related to statistical field theory. Use this tag for many-body quantum-mechanical problems and the theory of particle physics. Don’t combine with the [quantum-mechanics] tag.

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Interpretation of $\Psi(x)|0\rangle$

does $Ψ(x)|0⟩$ create a spin 1/2 particle and an anti-particle at a definite position $x$? That is exactly what it does, but remember that the definition of $\Psi(x)$ contains a creation operato …
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Spatial Rotations of a scalar field in QFT

The lagrangian $$\mathcal{L} = \frac{1}{2}\partial_\mu\phi\partial^\mu\phi - \frac{1}{2}m^2\phi^2$$ is invariant under spatial rotations, and one can calculate the conserved Noether charge for it. The …
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