Quantum corrections to classical confinement

Alan Chodos; Abraham Klein

doi:10.1103/PhysRevD.14.1663

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Quantum corrections to classical confinement

Alan Chodos^*

Abraham Klein^†

Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 and Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174

^*Address after Sept. 1, 1976: Department of Physics, Yale University, New Haven, Connecticut 06520.
^†John S. Guggenheim Fellow on leave from the University of Pennsylvania.

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Phys. Rev. D 14, 1663 – Published 15 September, 1976

DOI: https://doi.org/10.1103/PhysRevD.14.1663

Abstract

We study two models involving charged scalar fields in one space dimension, which have baglike properties at the classical level. Following conventional renormalization procedures, we find that either the first model becomes a free theory or else its spectrum becomes unbounded below depending on how one renormalizes. The second model also becomes a free theory with a particular choice of renormalization. In no case are we able to retain the classical confinement, although we can restore interactions by adding suitable counterterms to the Hamiltonian.

References (5)

C. Rebbi, private communication
A. Chodos, Phys. Rev. D 12, 2397 (1975)
S. Coleman, Phys. Rev. D 11, 2088 (1975)
A. Chodos, R. L. Jaffe, K. Johnson, C. Thorn, and V. F. Weisskopf, Phys. Rev. D 9, 3471 (1974)
M. Creutz, Phys. Rev. D 13, 3432 (1976)

[c1] C. Rebbi, private communication

[c2] A. Chodos, Phys. Rev. D 12, 2397 (1975)

[c3] S. Coleman, Phys. Rev. D 11, 2088 (1975)

[c4] A. Chodos, R. L. Jaffe, K. Johnson, C. Thorn, and V. F. Weisskopf, Phys. Rev. D 9, 3471 (1974)

[c5] M. Creutz, Phys. Rev. D 13, 3432 (1976)

Physical Review D

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Quantum corrections to classical confinement

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References (5)

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