Abstract
An analogy between the removal of nonphysical relative time (or relative energy) in the supersymmetric two-particle problem and the account of local gauge invariance in supersymmetric quantum field theory is discussed. A group of gauge transformations for the Bethe-Salpeter amplitudes is suggested, the invariants of which are the relativistic three-dimensional (quasipotential) wave functions in the Logunov-Tavkhelidze approach. Subsidiary conditions imposed on the Bethe-Salpeter amplitudes in the Todorov approach are shown to be equivalent to appropriate gauge fixing.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bethe, H., and Salpeter, E. (1951).Physical Review,84, 1232.
Bogolubov, P. N. (1970).Teoretitcheskaya i Matematitcheskaya Fizika,5, 224.
Delburgo, R., and Jervis, P. (1974). Preprint Imperial College, ICTP/74/9, London.
Faustov, R. N. (1973).Annals of Physics,78, 176.
Garsevanishvili, V. R.,et al. (1985).Teoretitcheskaya i Matematitcheskaya Fizika,23, 310.
Kadyshevsky, V. G. (1968).Nuclear Physics,B6, 125.
Koudinov, A. V., and Zaikov, R. P. (1982). JINR Commun., E2-82-299, Dubna.
Logunov, A. A., and Tavkhelidze, A. N. (1963).Nuovo Cimento 29, 380.
Markov, M. A. (1940).Soviet Journal of Physics,3, 452.
Todorov, I. T. (1971).Physical Review D,3, 2331.
Yukawa, H. (1950).Physical Review,77, 219.
Zaikov, R. P. (1983).Teoretitcheskaya i Matematitcheskaya Fizika,55, 55.
Zaikov, R. P. (1985).Teoretitcheskaya i Matematitcheskaya Fizika,64, 61.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zaikov, R.P. Gauge symmetry and supersymmetric two-particle problem. Int J Theor Phys 28, 1443–1447 (1989). https://doi.org/10.1007/BF00671587
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00671587