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Prog. Theor. Phys. Vol. 56 No. 3 (1976) pp. 908-918
Exact Solutions of the Spinor-Spinor Bethe-Salpeter Equation and Their Gauge Dependence
Akitoshi Nishimura and
Kiyoshi Higashijima
Department of Physics, University of Tokyo, Tokyo
(Received March 4, 1976)
Abstract:
The spherically symmetric solutions of the scalar-vector sector of the spinor-spinor Bethe-Salpeter equation for the vanishing total four-momentum in the ladder approximation are obtained when two spinors exchange a massless spin-1 particle whose propagator includes a gauge parameter α. The equation is easily solved when α= 0 and α= -3. In the general gauge, the equation is solved by means of the Hankel transformation. The solutions obtained show strong gauge dependence.
URL :
http://ptp.ipap.jp/link?PTP/56/908/
DOI : 10.1143/PTP.56.908
References:
- N. Nakanishi, Prog. Theor. Phys. Suppl. No. 43 (1969), 1[PTP].
- K. Higashijima, Prog. Theor. Phys. 55 (1976), 1591[PTP].
- L. G. Suttorp, Nuovo Cim. A 29 (1975), 225.
- W. Kummer, Nuovo Cim. 31 (1964), 219 [Errata; 34 (1964), 1840].
See also Ref. 1).
- C. Snow, Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory Applied Mathematics Series 19 (National Bureau of Standards, 1952).
Citing Article(s) :
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Progress of Theoretical Physics Vol. 58 No. 5 (1977) pp. 1585-1593
:
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Spinor-Spinor Bethe-Salpeter Equation
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Ichio Fukui, Noriaki Setô and Toshihiro Yoshida
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Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 536-547
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Eigenvalues of the Bethe-Salpeter Equation
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Yasuo Munakata
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Progress of Theoretical Physics Vol. 81 No. 1 (1989) pp. 209-223
:
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Ladder Schwinger-Dyson Equation and Effective Potential of QED for Arbitrary Covariant Gauges
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Tatsuhiko Nonoyama and Masaharu Tanabashi
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Progress of Theoretical Physics Supplement No.95 (1988) pp. 25-45
:
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Review of the Spinor-Spinor Bethe-Salpeter Equation
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Noriaki Setô
