Summary
A second quantized theory of composite objects is discussed. Some aspects of this theory are similar to string theories. However, the number of constituents of these composites is finite like the number of quarks in a hadron. A physically intuitive invariant measure as well as a Lagrangian for such composites is proposed. The corresponding Fock space is derived through usual second-quantization conditions. The resulting vacuum is shown to be stable. The LSZ reduction formula for the scattering amplitudes is seen to be similar to that of ordinary field theories. The two-point Green’s functions necessary for perturbative computations is also derived.
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References
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Biswas, T. A mathematical structure for composite particle fields (hadrons). Nuov Cim A 107, 863–880 (1994). https://doi.org/10.1007/BF02731101
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DOI: https://doi.org/10.1007/BF02731101