Quantitative studies of the homogeneous Bethe-Salpeter equation in Minkowski space
نویسندگان
چکیده
منابع مشابه
Solving the homogeneous Bethe-Salpeter equation.
We study a method for solving the homogeneous Bethe-Salpeter equation. By introducing a ‘fictitious’ eigenvalue λ the homogeneous BetheSalpeter equation is interpreted as a linear eigenvalue equation, where the bound state mass is treated as an input parameter. Using the improved ladder approximation with the constant fermion mass, we extensively study the spectrum of the fictitious eigenvalue ...
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We apply the perturbation theory integral representation (PTIR) to solve for the bound state Bethe-Salpeter (BS) vertex for an arbitrary scattering kernel, without the need for any Wick rotation. The results derived are applicable to any scalar field theory (without derivative coupling). It is shown that solving directly for the BS vertex, rather than the BS amplitude, has several major advanta...
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The Bethe-Salpeter (BS) equation for scalar-scalar bound states in scalar theories without derivative coupling is formulated and solved in Minkowski space. This is achieved using the perturbation theory integral representation (PTIR), which allows these amplitudes to be expressed as integrals over weight functions and known singularity structures and hence allows us to convert the BS equation i...
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The Bethe-Salpeter equation (BSE) for bound states in scalar theories is reformulated and solved in terms of a generalized spectral representation directly in Minkowski space. This differs from the conventional approach, where the BSE is solved in Euclidean space after a Wick rotation. For all but the lowest-order (i.e., ladder) approximation to the scattering kernel, the naive Wick rotation is...
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We extend to regular QCD the derivation of a confining qq̄ Bethe–Salpeter equation previously given for the simplest model of scalar QCD in which quarks are treated as spinless particles. We start from the same assumptions on the Wilson loop integral already adopted in the derivation of a semirelativistic heavy quark potential. We show that, by standard approximations, an effective meson squared...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2014
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.89.016010