Solving the Bethe-Salpeter equation in Minkowski space for a fermion-scalar system
نویسندگان
چکیده
منابع مشابه
Solving the Bethe-Salpeter equation for bound states of scalar theories in Minkowski space
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...
متن کاملSolving the Bethe-Salpeter equation for scalar theories in Minkowski space.
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...
متن کاملSolving the Bethe-Salpeter Equation in Minkowski Space: Scalar Theories and Beyond
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...
متن کاملSolving 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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The Schwinger-Dyson equation for a scalar propagator is solved in Minkowski space with the help of an integral spectral representation, both for spacelike and timelike momenta. The equation is re-written into a form suitable for numerical solution by iterations. This procedure is described for a simple unphysical Lagrangian with a cubic interaction, with future extensions to more realistic theo...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2019
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.100.016021