We show an explicit connection between the solution to the equations of motion in the Gaussian functional approximation and the minimum of the (Gaussian) effective potential/action of the linear $\Sigma$ model, as well as with the N/D method in dispersion theory. The resulting equations contain analytic functions with branch cuts in the complex mass squared plane. Therefore the minimum of the effective action may lie in the complex mass squared plane. Many solutions to these equations can be found on the second, third, etc. Riemann sheets of the equation, though their physical interpretation is not clear. Our results and the established properties of the S-matrix in general, and of the N/D solutions in particular, guide us to the correct ch...
We study the O(N) linear sigma model with spontaneous symmetry breaking, using a Hartree-like ansatz...
We study properties of hadrons in the O(4) linear σ model, where we take into account fluctuations o...
In perturbation theory we study the matching in four dimensions between the linear sigma model in th...
We show an explicit connection between the solution to the equations of motion in the Gaussian funct...
We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) appr...
We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approxi...
We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approxi...
It is shown that the potential functions for the ordinary linear sigma model can be divided into two...
A quantum system is considered that can move in N two-body channels with the potentials that may in...
We apply a self-consistent relativistic mean-field variational “Gaussian functional” (or optimized o...
This thesis investigates some of the properties of a variational approximation to scalar field theor...
We utilize the multi Davydov-Ansatz, an Ansatz of the bosonic many-body wave function in terms of mo...
We analytically analyze the quantum dynamics of a $d$-dimension free-fermion gas subject to continuo...
We analyze two-dimensional nonlinear sigma models at nonzero chemical potentials, which are governed...
The projects comprising my thesis lie in the area of quantum statistical mechanics, and are in line ...
We study the O(N) linear sigma model with spontaneous symmetry breaking, using a Hartree-like ansatz...
We study properties of hadrons in the O(4) linear σ model, where we take into account fluctuations o...
In perturbation theory we study the matching in four dimensions between the linear sigma model in th...
We show an explicit connection between the solution to the equations of motion in the Gaussian funct...
We apply a self-consistent relativistic mean-field variational Gaussian functional (or Hartree) appr...
We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approxi...
We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian functional approxi...
It is shown that the potential functions for the ordinary linear sigma model can be divided into two...
A quantum system is considered that can move in N two-body channels with the potentials that may in...
We apply a self-consistent relativistic mean-field variational “Gaussian functional” (or optimized o...
This thesis investigates some of the properties of a variational approximation to scalar field theor...
We utilize the multi Davydov-Ansatz, an Ansatz of the bosonic many-body wave function in terms of mo...
We analytically analyze the quantum dynamics of a $d$-dimension free-fermion gas subject to continuo...
We analyze two-dimensional nonlinear sigma models at nonzero chemical potentials, which are governed...
The projects comprising my thesis lie in the area of quantum statistical mechanics, and are in line ...
We study the O(N) linear sigma model with spontaneous symmetry breaking, using a Hartree-like ansatz...
We study properties of hadrons in the O(4) linear σ model, where we take into account fluctuations o...
In perturbation theory we study the matching in four dimensions between the linear sigma model in th...