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Results tagged with quantum-field-theory
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user 325112
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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How can one further characterise marginal couplings?
One characterises fixed points of $\beta$-functions by the eigenvalues of the stability matrix. If one has now marginal couplings (Eigenvalues=0) one can further characterise the couplings as marginal …
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Commutator for field with its adjoint
Is it possible to derive the commutator relationship $[\phi^{\dagger}(x),\phi(y)]=0$ from $[\phi(x),\phi(y)]=0$?
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Why gives trace of Hessian only 1-loop contributions?
Why does the term $\frac{i\hbar}{2}\log\det\left[\frac{\delta^2S}{\delta\phi^2}\right]$ in the expansion
$$\Gamma[\phi]=S[\phi]+ \frac{i\hbar}{2}\log\det\left[\frac{\delta^2S}{\delta\phi^2}\right] +…\ …
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Do irrelevant directions contribute to the IR dynamics?
Is it not a misnomer to call in a non-perturbative setting an irrelevant direction irrelevant?
I know that it comes from perturbation theory where an irrelevant direction is irrelevant for the IR dyna …
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Wilsonian RG vs. continuum RG
As far as I understand one classifies the renormalization group (RG) into the Wilsonian RG and the continuum RG. The Wilsonian RG gives finite predictions by introducing a cutoff $\Lambda$ and absorbs …
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Time ordering of integral [closed]
Is $$T\int\mathrm{d}^4x\phi^4(x)$$ just notation for $$\int\mathrm{d}^4x~T\phi^4(x)$$ since after integrating we have no time dependence anymore?
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Understanding attractive/repulsive boson-mediated forces based on interference of free-space...
The crucial difference is that in the Yukawa interaction we have no $\eta_{\mu\nu}$ in the scalar propagator $\frac{\operatorname{i}}{p^2-m^2+\operatorname{i}\epsilon}$ and the vertex. We therefore ha …
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Disconnected Feynman diagram for the 2-point correlation function
In Peskin&Schroeder they explain in a graphical way why the Schwinger functional generates only connected diagrams. However I don‘t understand why they get 2 diagrams since the first diagram is just a …
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