#anhillation operator

[peeterjoot]

PHY2403: QFT I: Momentum of scalar field: time dependent terms?

PHY2403: QFT I: Momentum of scalar field: time dependent terms?

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Way back in lecture 8, it was claimed that \begin{equation}\label{eqn:momentum:20} P^k = \int d^3 x \hat{\pi} \partial^k \hat{\phi} = \int \frac{d^3 p}{(2\pi)^3} p^k a_\Bp^\dagger a_\Bp. \end{equation} If I compute this, I get a normal ordered variation of this operator, but also get some time dependent terms. Here’s the computation…

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[peeterjoot]

PHY2403H Quantum Field Theory. Lecture 10: Lorentz boosts, generator of spacetime translation, Lorentz invariant field representation. Taught by Prof. Erich Poppitz

PHY2403H Quantum Field Theory. Lecture 10: Lorentz boosts, generator of spacetime translation, Lorentz invariant field representation. Taught by Prof. Erich Poppitz

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DISCLAIMER: Very rough notes from class, with some additional side notes.

These are notes for the UofT course PHY2403H, Quantum Field Theory I, taught by Prof. Erich Poppitz fall 2018.

Lorentz transform symmetries.

From last time, recall that an infinitesimal Lorentz transform has the form \begin{equation}\label{eqn:qftLecture10:20} x^\mu…

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