ar X iv : h ep - p h / 98 03 30 7 v 1 1 1 M ar 1 99 8 Wick - Cutkosky model : an introduction
نویسنده
چکیده
A general pedagogical survey of the basics of the Bethe-Salpeter equation and in particular Wick-Cutkosky model is given in great technical details. The Bethe-Salpeter approach to the relativistic two-body bound state problem assumes that all needed information about a bound state |B > is contained in the B-S amplitude Φ(x 1 , x 2 ; P B) =< 0|T φ 1 (x 1)φ 2 (x 2)|B > (1) and in its conjugate ¯ Φ(x 1 , x 2 ; P B) =< B|T φ + 1 (x 1)φ + 2 (x 2)|0 >. (2) Here P B is the bound state 4-momentum and field operators are in the Heisen-berg representation. Note, that < B|T φ + 1 (x 1)φ + 2 (x 2)|0 >=< 0| ¯ T φ 1 (x 1)φ 2 (x 2)|B > * ¯ T being antichronological operator. So we can say that ¯ Φ is obtained from Φ through time reversal. It is clear that instead of individual x 1 , x 2 coordinates more useful are variables which characterize two particle relative motion and the motion of the system as a whole. The coordinate corresponding to the relative motion is of course x = x 1 − x 2. Then any linear independent combination X = η 1 x 1 + η 2 x 2 can
منابع مشابه
ar X iv : h ep - p h / 98 03 30 7 v 3 1 1 M ar 2 00 9 Wick - Cutkosky model : an introduction
A general pedagogical survey of the basics of the Bethe-Salpeter equation and in particular Wick-Cutkosky model is given in great technical details. The Bethe-Salpeter approach to the relativistic two-body bound state problem assumes that all needed information about a bound state |B > is contained in the B-S amplitude Φ(x 1 , x 2 ; P B) =< 0|T φ 1 (x 1)φ 2 (x 2)|B > (1) and in its conjugate ¯ ...
متن کاملar X iv : h ep - p h / 98 03 43 3 v 1 2 4 M ar 1 99 8 THEORETICAL STATUS OF THE B c MESON
Theoretical predictions on the B c meson properties are reviewed.
متن کاملar X iv : h ep - p h / 98 05 30 4 v 1 1 3 M ay 1 99 8 Λ b → Λ c P ( V ) Nonleptonic Weak Decays
متن کامل
ar X iv : h ep - p h / 98 03 37 7 v 1 1 8 M ar 1 99 8 Perturbative Contributions to Field Correlators in Gluodynamics
The cancellation of perturbative contributions to the string tension in gluodynamics in the framework of vacuum field correlators method is shown at the order O(g 4) by explicit calculation. The general pattern of these cancellations at all orders and relation with the renormalization properties of the Wilson loop is discussed.
متن کامل