Zusammenfassung
The practitioner has to think about (at least) two obstacles, when he wants to solve a Hamiltonian field theory problem in front form dynamics. One is the problem that the theory is not manifestly rotational invariant. The other is the question, how one should construct effective theories at all in this framework. Of course, the first problem exists analogously in instant form dynamics, where the theory is not manifestly Lorentz invariant. Connected to this problem is the fact that any symmetry which is not manifest will break down immediately with the slightest approximation in a Hamiltonian field theory. There is broad agreement that the construction of effective theories is inevitable, if one wants to describe the low energy region, i.e. the bound states, of a strongly coupled theory. A variety of formalisms were suggested concerning this topic [1][2][3].
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References
Wilson K.G., Walhout T.S., Harindranth A., Zhang W.-M. and Perry R.J., “Nonperturbative QCD: A weak-coupling treatment on the light front”, Phys. Rev. D49 (1994) 6720.
Wegner F., “Flow-equations for Hamiltonians”, Ann. Phys. 3 (1994) 77–91.
Pauli H.-C., “Solving Gauge field Theory by Discretized Light-Cone Quantization”, hep-th/9608035, submitted to Phys. Rev. D, 1996.
Trittmann U. and Pauli H.-C., “Quantum electrodynamics at strong couplings”, hep-th/9704215, 1997
Trittmann U. and Pauli H.-C. , “On rotational invariance in front form dynamics”, hep-th/9705021 submitted to Phys. Rev. D, 1997.
Trittmann U., “On the role of the annihilation channel in front form positronium”, hep-th/9705072, submitted to Phys. Rev. D, 1997.
Brodsky S.J., remark made at the workshop.
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Trittmann, U. (1998). Front form QED(3+1): The spin-multiplet structure of the positronium spectrum at strong coupling. In: Grangé, P., Neveu, A., Pauli, H.C., Pinsky, S., Werner, E. (eds) New Non-Perturbative Methods and Quantization on the Light Cone. Centre de Physique des Houches, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08973-6_10
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DOI: https://doi.org/10.1007/978-3-662-08973-6_10
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