BETHE-SALPETER-EQUIVALENT COVARIANT THREE-DIMENSIONAL EQUATION IN AN INFINITE-MOMENTUM FRAME
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Using the recently published works on (a) a covariant time-ordered perturbation theory, and (b) an exact three-dimensional reduction of the Bethe-Salpeter equation, we obtain a three-dimensional two-body equation which is exactly equivalent to the (four-dimensional) Bethe-Salpeter equation and, moreover, is covariant. The greatly simplified form that this equation assumes in an infinite-momentum frame is discussed. The final result is a new offshell two-body equation which could serve as an attractive starting point for numerical applications.
2021 ◽
pp. 45-76
2020 ◽
Vol 501
(1)
◽
pp. L71-L75
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1979 ◽
Vol 27
(7)
◽
pp. 1043-1044
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