Solving the Bethe-Salpeter equation for bound states of scalar theories in Minkowski space

dc.contributor.author	Kusaka, K.
dc.contributor.author	Simpson, K.
dc.contributor.author	Williams, A.
dc.date.issued	1997
dc.description.abstract	We apply the perturbation theory integral representation 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 advantages, notably its relative simplicity and superior numerical accuracy. In order to illustrate the generality of the approach we obtain numerical solutions using this formalism for a number of scattering kernels, including cases where the Wick rotation is not possible.
dc.description.statementofresponsibility	Kusaka, Kensuke; Simpson, Ken ; Williams, Anthony
dc.identifier.citation	Physical Review D: Particles, Fields, Gravitation and Cosmology, 1997; 56(8):5071-5085
dc.identifier.doi	10.1103/PhysRevD.56.5071
dc.identifier.issn	0556-2821
dc.identifier.issn	1550-2368
dc.identifier.orcid	Williams, A. [0000-0002-1472-1592]
dc.identifier.uri	http://hdl.handle.net/2440/10920
dc.language.iso	en
dc.publisher	American Physical Society
dc.rights	©1997 American Physical Society
dc.source.uri	https://doi.org/10.1103/physrevd.56.5071
dc.title	Solving the Bethe-Salpeter equation for bound states of scalar theories in Minkowski space
dc.type	Journal article
pubs.publication-status	Published

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