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Translations of field operators in QFT

Symmetry group of the space time$^1$ on which QFT is defined is usually required to have a representation on the space of states. Quantum mechanics is just QFT in one dimensions. The spacetime in th …
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Irreducible Representations Of Lorentz Group

For Poincaré algebra there are (as far as I know) two different approaches to find its representations. In the first approach one begins from a finite dimensional representation of (complexified) Lore …
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