Abstract
We discuss some simple models related to quantum corrections of the MIT-bag in the framework of local field theories in two space-time dimensions. A recent result due to A. Chodos and A. Klein is generalized. We find that the corresponding quantum field theories become free or have an energy spectrum unbounded from below.
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Chodos A., Jaffe R.L., Johnson K., Thorn C.B., and Weisskopf V.F., ‘New Extended Model of Hadrons’, Phys. Rev. D9, 3471 (1974).
Chodos A. and Klein A., ‘Quantum Corrections to Classical Confinement’, Phys. Rev. D14, 1663 (1976).
Creutz M., ‘Quantum Fluctuations and the Bag Model’, Phys. Rev. D13, 3432 (1976).
Skagerstam B.-S., ‘Generalized Quantum sine-Gordon Equation and its Relation to the Thirring Model in Quantum Field Theory’, Phys. Rev. D13, 2827 (1976).
Coleman S., ‘Quantum sine-Gordon Equation as the Massive Thirring Model’, Phys. Rev. D11, 2088 (1975).
In this expression Δ is a suitable cutoff in the theory. Here we are following the notation of References 4 and 5.
Bjorken J.D. and Drell S.D., Relativistic Quantum Fields, McGraw-Hill Book Company, New York, 1965.
Chodos A., ‘Field-Theoretic Lagrangian with Baglike Solutions’, Phys. Rev. D12, 2397 (1975).
Skagerstam, B.-S., ‘The θ-Model in Quantum Corrections to Classical Confinement’, in preparation.
Drell, S.D., Quark Confinement Schemes in Field Theory, Lectures given at the ‘Ettore Majorana International Summer School’, Erice, Sicily, 1975.
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Skagerstam, BS. A remark on quantum corrections to classical confinement. Lett Math Phys 1, 499–503 (1977). https://doi.org/10.1007/BF00399742
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DOI: https://doi.org/10.1007/BF00399742