Corpus ID: 118635879

# Bound states -- from QED to QCD

@article{Hoyer2014BoundS,
title={Bound states -- from QED to QCD},
author={Paul. Hoyer},
journal={arXiv: High Energy Physics - Phenomenology},
year={2014}
}
• P. Hoyer
• Published 20 February 2014
• Physics
• arXiv: High Energy Physics - Phenomenology
These lectures are divided into two parts. In Part 1 I discuss bound state topics at the level of a basic course in field theory: The derivation of the Schr\"odinger and Dirac equations from the QED Lagrangian, by summing Feynman diagrams and in a Hamiltonian framework. Less well known topics include the equal-time wave function of Positronium in motion and the properties of the Dirac wave function for a linear potential. The presentation emphasizes physical aspects and provides the framework… Expand
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#### References

SHOWING 1-10 OF 50 REFERENCES
Towards a Born term for hadrons
• Physics
• 2013
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SPIN AND RELATIVISTIC MOTION OF BOUND STATES
The wave functions of moving bound states may be expected to contract in the direction of motion, in analogy to a rigid rod in classical special relativity, when the constituents are at equalExpand
Boosting equal time bound states
• Physics
• 2012
We present an explicit and exact boost of a relativistic bound state defined at equal time of the constituents in the Born approximation (lowest order in hbar). To this end, we construct theExpand
Bound states at lowest order in hbar
Bound states poles in scattering amplitudes are generated by the divergence of the perturbative series due to enhanced Coulomb scattering near thresholds. This suggests to organize bound stateExpand
Strong QCD and Dyson-Schwinger Equations
The real-world properties of quantum chromodynamics (QCD) - the strongly-interacting piece of the Standard Model - are dominated by two emergent phenomena: confinement; namely, the theory'sExpand
Hydrogen Atom in Relativistic Motion
The Lorentz contraction of bound states in field theory is often appealed to in qualitative descriptions of high energy particle collisions. Surprisingly, the contraction has not been demonstratedExpand
Boost operators in Coulomb gauge QCD: The pion form factor and Fock expansions in $\phi$ radiative decays
• Physics
• 2009
In this article we re-derive the Boost operators in Coulomb Gauge Yang-Mills theory employing the path integral formalism and write down the complete operators for QCD. We immediately apply them toExpand
States of the Dirac equation in confining potentials.
• Physics, Medicine
• Physical review letters
• 2008
We study the Dirac equation in confining potentials with pure vector coupling, proving the existence of metastable states with longer and longer lifetimes as the nonrelativistic limit is approachedExpand
XYZ States - Results from Experiments
Charmonium(-like) or bottomonium(-like) states, which are incompatible with predictions from a static quark anti-quark potential model, are often refered to as XYZ states. In this lecture, someExpand
Quantum Theory of Fields
To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject. But it is a very good and most useful book. The original wasExpand