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Results tagged with quantum-field-theory
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user 247076
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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FIeld configuration with just one particle
For a simple real-valued field $$(\partial^2+m^2)\phi=0$$ I would like to get its configuration in explicit form for the case of one particle.
Let's go through the well-known steps:
1) $\phi(x)=\sum …
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Why do we need to account for particle numbers and their amplitudes separately in QFT?
If we look at canonical quantization approach to QFT, we see that particle numbers are accounted for by means of state vectors, while amplitudes sit in the corresponding field operators. Is it possibl …
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Spacelike and timelike parts of the propagator
In addition to the well known momentum-space representation of the propagator, e.g. for the scalar particle
$$
D(z)=\int \frac{d^4p}{(2\pi)^4} \frac{e^{-i(pz)}}{p^2-m^2+i \varepsilon}
$$
there also ex …
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4th polarization in the massive vector boson field propagator
We can build propagators (in this case, for massive vector fields) with at least two approaches:
(1) from canonical quantization (or exact solutions, if you like)
$$\left[[(i\partial)^2-m^2]\delta_ …
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Propagators in position space
What are the possible applications of position-space representations of propagators? I'm speaking not only of the well-known free field case, but also of the particles in external fields and/or curved …
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Finite distance propagation for charged particles
Usually, when it comes to studying QFT at a finite distance, the underlying problem is neutrino oscillations. Could it be relevant in some sense to study finite-distance propagation of charged particl …
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Explicit form of the wavefunctional
In quantum mechanics, one in principle can write down an explicit form of the corresponding wave-function. For example, $V_i$ for the $i$-th level of quantum harmonic oscillator.
In QFT, the Hilbert …
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Momentum operator in spacelike metric convention
What are the underlying principles for choosing signs for the momentum operators in QM/QFT?
Let's say, for the $(+,-,-,-)$ metric convention we have $\partial^\mu = (+\partial_0,-\nabla)$. Why not $\ …