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

1997 ◽  
Vol 56 (8) ◽  
pp. 5071-5085 ◽  
Author(s):  
Kensuke Kusaka ◽  
Ken Simpson ◽  
Anthony G. Williams
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Scalar Theories

scholarly journals Solving the Bethe - Salpeter Equation in Minkowski Space: Scalar Theories and Beyond

1997 ◽  
Vol 50 (1) ◽  
pp. 147 ◽  
Author(s):  
K. Kusaka ◽  
A. G. Williams ◽  
K. M. Simpson
Keyword(s):  
Euclidean Space ◽  
Minkowski Space ◽  
Vertex Function ◽  
Bound States ◽  
Spectral Representation ◽  
Ladder Approximation ◽  
Wick Rotation ◽  
Space Solution ◽  
Scalar Theories ◽  
Scattering Kernel

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 invalid. Our approach generates the vertex function and Bethe–Salpeter amplitude for the entire allowed range of momenta, whereas these cannot be directly obtained from the Euclidean space solution. Our method is quite general and can be applied even in cases where the Wick rotation is not possible.

scholarly journals Preface: Quarks, hadrons and nuclei

1997 ◽  
Vol 50 (1) ◽  
pp. I
Keyword(s):  
Euclidean Space ◽  
Minkowski Space ◽  
Vertex Function ◽  
Bound States ◽  
Spectral Representation ◽  
Ladder Approximation ◽  
Wick Rotation ◽  
Space Solution ◽  
Scalar Theories ◽  
Scattering Kernel

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 invalid. Our approach generates the vertex function and Bethe–Salpeter amplitude for the entire allowed range of momenta, whereas these cannot be directly obtained from the Euclidean space solution. Our method is quite general and can be applied even in cases where the Wick rotation is not possible.

scholarly journals Three-boson bound states in Minkowski space with contact interactions

2020 ◽  
Vol 101 (9) ◽  
Author(s):  
E. Ydrefors ◽  
J. H. Alvarenga Nogueira ◽  
V. A. Karmanov ◽  
T. Frederico
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Contact Interactions

Relativistic bound states in three space-time dimensions in Minkowski space

2016 ◽  
Author(s):  
C. Gutierrez ◽  
V. Gigante ◽  
T. Frederico ◽  
Lauro Tomio
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Space Time ◽  
Relativistic Bound States ◽  
Three Space

scholarly journals Bound States in Minkowski Space in 2 + 1 Dimensions

2015 ◽  
Vol 56 (6-9) ◽  
pp. 375-380 ◽  
Author(s):  
V. Gigante ◽  
T. Frederico ◽  
C. Gutierrez ◽  
L. Tomio
Keyword(s):  
Minkowski Space ◽  
Bound States

scholarly journals Studies of three-body bound states with zero-range interaction in Minkowski space

2020 ◽  
Author(s):  
Emanuel Ydrefors ◽  
Jorge H Alvarenga Nogueira ◽  
Vladimir Karmanov ◽  
Tobias Frederico
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Range Interaction ◽  
Zero Range ◽  
Three Body

scholarly journals Solving the Bethe-Salpeter equation for scalar theories in Minkowski space

1995 ◽  
Vol 51 (12) ◽  
pp. 7026-7039 ◽  
Author(s):  
Kensuke Kusaka ◽  
Anthony G. Williams
Keyword(s):  
Minkowski Space ◽  
Scalar Theories

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

2019 ◽  
Vol 1291 ◽  
pp. 012006 ◽  
Author(s):  
A Castro ◽  
E Ydrefors ◽  
W de Paula ◽  
T Frederico ◽  
J H de Alvarenga Nogueira ◽  
...  
Keyword(s):  
Minkowski Space ◽  
Bound States
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