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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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Time ordering nucleon-nucleon scattering

I am trying to compute the nucleon scattering $\psi \psi \rightarrow \psi \psi$ described by: \begin{equation} \begin{array}{l} |i\rangle=\sqrt{2 E_{p_{1}}} \sqrt{2 E_{p_{2}}} a^{\dagger}\left(\mathbf …
god_operator's user avatar
3 votes
Accepted

Symmetry arguments and derivation for product of gamma matrices and derivatives

I figured it out with the help of the comments after some errors. $$\gamma^{\mu} \gamma^{\nu} \partial_{\mu} \partial_{\nu}= \frac{1}{2}\left(\gamma^{\mu} \gamma^{\nu} \partial_{\mu} \partial_{\nu}+\g …
god_operator's user avatar
1 vote
1 answer
303 views

Symmetry arguments and derivation for product of gamma matrices and derivatives

I am trying to work with the Dirac equation and the solution for the Klein-Gordon equation for some derivation and I stomped on the following problem in my derivation. $\gamma^{\mu} \gamma^{\nu} \part …
god_operator's user avatar
2 votes
0 answers
90 views

Gauge invariance and Ward Identity?

I have to work on vacuum polarization and gauge contributions for a given problem. I have to compute and show that their sum is gauge invariant, which according to the exercise, is equivalent to show …
god_operator's user avatar