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The Bethe-Salpeter approach to bound states: from Euclidean to Minkowski space

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Author(s):
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Castro, A. ; Ydrefors, E. ; de Paula, W. ; Frederico, T. ; de Alvarenga Nogueira, J. H. ; Maris, P. ; Guimaraes, V ; Genezini, F ; Lubian, J ; Assuncao, M ; Delgado, A ; Trevisan, LA
Total Authors: 12
Document type: Journal article
Source: WAKE CONFERENCE 2021; v. 1291, p. 6-pg., 2019-01-01.
Abstract

The challenge to obtain from the Euclidean Bethe-Salpeter amplitude the amplitude in Minkowski is solved by resorting to un-Wick rotating the Euclidean homogeneous integral equation. The results obtained with this new practical method for the amputated Bethe-Salpeter amplitude for a two-boson bound state reveals a rich analytic structure of this amplitude, which can be traced back to the Minkowski space Bethe-Salpeter equation using the Nakanishi integral representation. The method can be extended to small rotation angles bringing the Euclidean solution closer to the Minkowski one and could allow in principle the extraction of the longitudinal parton density functions and momentum distribution amplitude, for example. (AU)

FAPESP's process: 13/26258-4 - Superdense matter in the universe
Grantee:Manuel Máximo Bastos Malheiro de Oliveira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
Grantee:Brett Vern Carlson
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 14/19094-8 - Three-body heavy meson decay and CP violation
Grantee:Jorge Henrique de Alvarenga Nogueira
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 16/25143-7 - Relativistic two and three-body problems in Minkowski space in (2+1) and (3+1) dimensions
Grantee:Emanuel Arthur Ydrefors
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 17/19371-0 - Dyson-Schwinger and Bethe-Salpeter calculations in Euclidean and Minkowski space in QED and QCD
Grantee:Tobias Frederico
Support Opportunities: Research Grants - Visiting Researcher Grant - International