scholarly journals Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations

2016 ◽  
Vol 94 (9) ◽  
Author(s):  
Vladimir A. Karmanov ◽  
Yang Li ◽  
Alexander V. Smirnov ◽  
James P. Vary
Keyword(s):  
Fock Space ◽  
Yukawa Model ◽  
Nonperturbative Solution ◽  
Three Body

scholarly journals Some exact solutions of reduced scalar Yukawa theory

1998 ◽  
Vol 76 (7) ◽  
pp. 523-537 ◽  
Author(s):  
J W Darewych
Keyword(s):  
Scalar Field ◽  
Vacuum State ◽  
Analytic Solutions ◽  
Green Functions ◽  
Yukawa Model ◽  
Complex Scalar ◽  
Complex Scalar Field ◽  
Three Body ◽  
Yukawa Theory ◽  
Body Case

The scalar Yukawa model, in which a complex scalar field, ϕ, interacts via a real scalar field, χ, is reduced by using covariant Green functions. It is shown that exact few-particle eigenstates of the truncated QFT Hamiltonian can be obtained in the Feshbach–Villars formulation if an unorthodox "empty" vacuum state is used. Analytic solutions for the two-body case are obtained for massless chion exchange in 3+1 dimensions and for massive chion exchange in 1+1 dimensions. Comparison is made to ladder Bethe–Salpeter, Feynman–Schwinger, and quasipotential results for massive chion exchange in 3+1. Equations for the three-body case are also obtained. PACS Nos.: 11.10.Ef, 11.10.Qr, and 03.70.+k

GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS

2011 ◽  
Vol 14 (02) ◽  
pp. 225-235 ◽  
Author(s):  
TOSHIMITSU TAKAESU
Keyword(s):  
Ground State ◽  
Spectral Gap ◽  
Fock Space ◽  
Adjoint Operator ◽  
Coupling Constants ◽  
Dirac Field ◽  
Yukawa Model ◽  
Klein Gordon

The ground state of the Yukawa model is considered. The Yukawa model describes the system of a Dirac field interacting with a Klein–Gordon field. By introducing ultraviolet cutoffs and spatial cutoffs, the total Hamiltonian is defined as a self-adjoint operator on a boson–fermion Fock space. It is shown that the total Hamiltonian has a positive spectral gap for all values of coupling constants. In particular, the existence of the ground state is proven.

ON THE THREE-BODY ELECTRON ATTACHMENT TO OXYGEN IN THE PLASMA OF A NON-SELF-MAINTAINED DISCHARGE

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-103-C7-104
Author(s):  
A. N. Vasilieva ◽  
I. A. Grishina ◽  
V. I. Ktitorov ◽  
A. S. Kovalev ◽  
A. T. Rakhimov
Keyword(s):  
Electron Attachment ◽  
Maintained Discharge ◽  
Three Body
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