Minkowski space approach for the Bethe-Salpeter equation
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 کاملInstantaneous Bethe–salpeter Equation: Utmost Analytic Approach
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...
متن کاملSchwinger-Dyson equation and Bethe-Salpeter equation
Zhi-Gang Wang , Wei-Min Yang and Shao-Long Wan 1 Department of Physics, North China Electric Power University, Baoding 071003, P. R. China † 2 CCAST (World Laboratory), P.O.Box 8730, Beijing 100080, P. R. China 3 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China In this article, we investigate the structures of the pseudoscalar mesons (π, K, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2017
ISSN: 2100-014X
DOI: 10.1051/epjconf/201713801013