Study of relativistic bound states for scalar theories in the Bethe-Salpeter and Dyson-Schwinger formalism

V Šauli, J Adam Jr - Physical Review D, 2003 - APS
Abstract The Bethe-Salpeter equation for Wick-Cutkosky-like models is solved in the
dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger …

Stability of the scalar interaction

F Gross, Ç Şavklı, J Tjon - Physical Review D, 2001 - APS
A scalar field theory with a χ† χ φ interaction is known to be unstable. Yet it has been used
frequently without any sign of instability in standard textbook examples and research …

Size effects on the thermodynamic behavior of a simplified generalized scalar Yukawa model

LM Abreu, ES Nery, APC Malbouisson - Physical Review D, 2015 - APS
We analyze the thermodynamic behavior of the generalized scalar Yukawa model,
composed of a complex scalar field interacting with scalar and vector fields. Finite-size …

[HTML][HTML] Thermodynamic behavior of the generalized scalar Yukawa model in a magnetic background

LM Abreu, APC Malbouisson, JMC Malbouisson… - Nuclear Physics B, 2014 - Elsevier
We study the thermodynamic behavior of the generalized scalar Yukawa model, composed
of a complex scalar field interacting with scalar and vector fields. Thermal effects are treated …

Variational two-fermion wave equations in quantum electrodynamics: Muoniumlike systems

AG Terekidi, JW Darewych - Journal of mathematical physics, 2005 - pubs.aip.org
We consider a reformulation of quantum electrodynamics in which covariant Green functions
are used to solve for the electromagnetic field in terms of the fermion fields. The resulting …

Relativistic wave equations of combined three particles and three antiparticles in scalar quantum field theory

M Emami-Razavi, N Bergeron… - Journal of Physics G …, 2010 - iopscience.iop.org
The recent observation of a positronium molecule (e− e+ e− e+) by Cassidy and Mills (DB
Cassidy and AP Mills 2007 Nature (London) 449 195) raises interest in other (fermionic) …

Relativistic two-, three-and four-body wave equations in scalar QFT

M Emami-Razavi, JW Darewych - Journal of Physics G: Nuclear …, 2005 - iopscience.iop.org
We use the variational method within the Hamiltonian formalism of QFT to derive relativistic
two-, three-and four-body wave equations for scalar particles interacting via a massive or …

Variational derivation of relativistic fermion–antifermion wave equations in QED

AG Terekidi, JW Darewych - Journal of Mathematical Physics, 2004 - pubs.aip.org
We present a variational method for deriving relativistic two-fermion wave equations in a
Hamiltonian formulation of QED. A reformulation of QED is performed, in which covariant …

Relativistic wave equations of n-body systems of particles and antiparticles of various masses in scalar quantum field theory

M Emami-Razavi, N Bergeron… - Journal of Physics G …, 2011 - iopscience.iop.org
A generalization of the scalar Yukawa model to include many'flavors' of scalar particles and
antiparticles is considered. The variational method within the Hamiltonian formalism of …

Nonperturbative dynamics of scalar field theories through the Feynman-Schwinger representation

C Savkli, F Gross, J Tjon - Physics of Atomic Nuclei, 2005 - Springer
We present a summary of results obtained for scalar field theories usingt he Feynman-
Schwinger (FSR) approach. Specifically, scalar QED and X 2 φ theories are considered. The …