It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

Gauge theories of the Yang–Mills type are the single most important building block of the
standard model of particle physics and beyond. They are an integral part of the strong and …

It is shown that the nonlocal nonlinear Schrödinger equation recently proposed by Ablowitz
and Musslimani [Phys. Rev. Lett. 110, 064105 (2013) PRLTAO 0031-9007 …

This paper considers the possibility that, starting from a relativistic Hermitian quantum field
theory in the ultraviolet (UV) regime, and applying a nonperturbative renormalization-group …

The inspiration for this theoretical paper comes from recent experiments on a PT-symmetric
system of two coupled optical whispering galleries (optical resonators). The optical system …

Analytic continuations of integer-valued parameters can lead to profound insights, such as
angular momentum in Regge theory, the number of replicas in spin glasses, the number of …

In quantum field theory, the Dyson-Schwinger equations are an infinite set of coupled
equations relating n-point Green's functions in a self-consistent manner. They have found …

The Dyson-Schwinger (DS) equations for a quantum field theory in D-dimensional space-
time are an infinite sequence of coupled integro-differential equations that are satisfied …

In natural and social science, many events happened at different space–times may be
closely correlated. Two events, A (Alice) and B (Bob) are defined as correlated if one event …

We investigate optical solitons of the self-focusing nonlinear Schrödinger equation with
novel PT-symmetric sextic anharmonic double-well potentials. The parameter regions are …