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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.

0 votes
1 answer
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Deriving energy eigenstates of free Weyl field

I'm wondering if it's possible to derive energy eigenstates for a fermion field without guessing the anti-commutation relations from the start. I'm taking the Hamiltonian for a Weyl field $\psi$ to b …
0 votes

Deriving energy eigenstates of free Weyl field

The key is to use the phases of the spinor components as the canonical coordinates, as that provides a clean division into coordinates and momenta (versus above where both the real and imaginary parts …
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2 votes
0 answers
44 views

Is there a first-order formulation of CP-violating QCD?

In QCD without a CP violating $\theta$ term, (I believe) we can express the gauge kinetic Lagrangian in a first-order form with the field strength $F_{\mu\nu}$ taken to be Lagrange multipliers. Up to …
2 votes
0 answers
227 views

Does Coleman-de Luccia instanton approach a Hawking-Moss instanton?

Suppose a Coleman-de Luccia instanton terminates in the basin with the true vacuum between the top of the potential barrier and the field value with potential energy equal to the potential energy of t …
7 votes
1 answer
704 views

Fock space with mixed anti-commutation/commutation relations?

Let's say we have two modes, with the following labeling of occupation number states: $ \lvert \Psi \rangle = \begin{pmatrix} 0,0 \\ 0,1 \\ 1,0 \\ 1,1 \end{pmatrix} $ An example of (what I assume to …
1 vote
1 answer
324 views

Is there a geometric object analagous to a spinor that encodes projections onto bivectors?

The most sensible geometric interpretation of spinors that I've come across is that they encode projections in the Clifford algebra. So if $\mathbf A$ is a vector with components $A_i$ and $\psi$ is …