General Solution of the Bethe-Salpeter Equation in Instantaneous Interaction Approximation
نویسندگان
چکیده
منابع مشابه
Instantaneous Bethe–salpeter Equation: Improved Analytical Solution
Studying the Bethe–Salpeter formalism for interactions instantaneous in the rest frame of the bound states described, we show that, for bound-state constituents of arbitrary masses, the mass of the ground state of a given spin may be calculated almost entirely analytically with high accuracy, without the (numerical) diagonalization of the matrix representation obtained by expansion of the solut...
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The Bethe–Salpeter equation for bound states of a fermion–antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically) given matrices. PACS numbers : 11.10.St, 03.65.Ge ∗ E-mail address : [email protected] ‡ E-mail address : [email protected] † E-mail address : franz.schoebe...
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We present a systematic algebraic and numerical investigation of the instantaneous Bethe-Salpeter equation. Emphasis is placed on confining interaction kernels of the Lorentz scalar, time component vector, and full vector types. We explore stability of the solutions and Regge behavior for each of these interactions, and conclude that only time component vector confinement leads to normal Regge ...
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The Bethe–Salpeter formalism in the instantaneous approximation for the interaction kernel entering into the Bethe–Salpeter equation represents a reasonable framework for the description of bound states within relativistic quantum field theory. In contrast to its further simplifications (like, for instance, the so-called reduced Salpeter equation), it allows also the consideration of bound stat...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1958
ISSN: 0033-068X
DOI: 10.1143/ptp.19.725