We consider the Schrödinger equation for a relativistic point particle in an external one-dimensional δ-function potential. Using dimensional regularization, we investigate both bound and scattering states, and we obtain results that are consistent with the abstract mathematical theory of self-adjoint extensions of the pseudodifferential operator H=p2+m2−−−−−−−√. Interestingly, this relatively simple system is asymptotically free. In the massless limit, it undergoes dimensional transmutation and it possesses an infrared conformal fixed point. Thus it can be used to illustrate nontrivial concepts of quantum field theory in the simpler framework of relativistic quantum mechanics
We analyze the model of a self-interacting ϕ⋆4 scalar field theory in Snyder–de Sitter space. After ...
International audienceThe semiclassical limit, as the Planck constant (h) over bar tends to 0, of bo...
We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (...
We consider the Schr?dinger equation for a relativistic point particle in an external one-dimensiona...
We consider the Schrödinger equation for a relativistic point par-ticle in an external 1-dimensiona...
We study the relativistic version of the Schrödinger equation for a point particle in one dimension ...
The free Schrödinger theory in d space dimensions is a non-relativistic conformal field theory. The...
We follow recent formulations of dimensionally reduced loop operators for quantum field theories and...
This is the first in a series of papers addressing the phenomenon of dimensional transmutation in no...
We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with v...
We observe that probing certain classical field theories by external sources uncovers the underlying...
We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with v...
We show that the Schrödinger representation exists in renormalizable quantum field theory to all ord...
This work deals with two models - from the quantum eld theory it is the massless scalar electrodynam...
This work deals with two models - from the quantum eld theory it is the massless scalar electrodynam...
We analyze the model of a self-interacting ϕ⋆4 scalar field theory in Snyder–de Sitter space. After ...
International audienceThe semiclassical limit, as the Planck constant (h) over bar tends to 0, of bo...
We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (...
We consider the Schr?dinger equation for a relativistic point particle in an external one-dimensiona...
We consider the Schrödinger equation for a relativistic point par-ticle in an external 1-dimensiona...
We study the relativistic version of the Schrödinger equation for a point particle in one dimension ...
The free Schrödinger theory in d space dimensions is a non-relativistic conformal field theory. The...
We follow recent formulations of dimensionally reduced loop operators for quantum field theories and...
This is the first in a series of papers addressing the phenomenon of dimensional transmutation in no...
We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with v...
We observe that probing certain classical field theories by external sources uncovers the underlying...
We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with v...
We show that the Schrödinger representation exists in renormalizable quantum field theory to all ord...
This work deals with two models - from the quantum eld theory it is the massless scalar electrodynam...
This work deals with two models - from the quantum eld theory it is the massless scalar electrodynam...
We analyze the model of a self-interacting ϕ⋆4 scalar field theory in Snyder–de Sitter space. After ...
International audienceThe semiclassical limit, as the Planck constant (h) over bar tends to 0, of bo...
We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (...