Abstract
The spectrum of confined QED in 1+1 dimensions is analysed using perturbation theory. The mass spectra of systems made up of massless fermions are calculated toO(e 2) and compared to the mass spectra obtained using nonperturbative methods. Systems containing heavy fermions are also studied and an analogy with the 3+1 dimensional Bag model is pointed out.
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References
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This absence of quantum interference terms is only true for the ground state. The inclusion of excitations gives rise to a nontrivial perturbation theory as was explained in Sect. 2.1
The Born-Oppenheimer approximation for a single, heavy fermion in a bag with light particles consists of calculating the energy of the heavy fermion for any position inside the bag. The resulting potential represents the response of the light degrees of freedom to the displacement of the heavy quark from the center of the bag
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Aerts, A.T.M., Hansson, T.H. Confined quantum electrodynamics in 1+1 dimensions: A perturbative analysis. Z. Phys. C - Particles and Fields 28, 537–544 (1985). https://doi.org/10.1007/BF01474000
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DOI: https://doi.org/10.1007/BF01474000