The authors review the theory and phenomenology of instantons in quantum
chromodynamics (QCD). After a general overview, they provide a pedagogical introduction …

The Feynman path integrals are becoming increasingly important in the applications of
quantum mechanics and field theory. The path integral formulation of quantum anomalies, ie …

We evaluate the entanglement entropy and entropic function of massive two dimensional
quantum electrodynamics (Schwinger model) at finite temperature, density, and θ-angle. In …

It has been established that matrix product states can be used to compute the ground state
and single-particle excitations and their properties of lattice gauge theories at the continuum …

We introduce an extension of the diagrammatic rules in random matrix theory and apply it to
non-hermitian random matrix models using the 1/N approximation. A number of one-and two …

Using matrix product operators, the Schwinger model is simulated in thermal equilibrium.
The variational manifold of gauge-invariant matrix product operators is constructed to …

In this article we give a detailed discussion of the mass perturbation theory of the massive
Schwinger model. After discussing some general features and briefly reviewing the exact …

The massive N-flavour Schwinger model is analysed by the bosonization method. The
problem is reduced to the quantum mechanics of N degrees of freedom in which the …

We derive a systematic procedure to compute Green functions for the massive Schwinger
model via a perturbation expansion in the fermion mass. The known exact solution of the …

In these notes we review some properties of Statistical Quantum Field Theory at equilibrium,
ie Quantum Field Theory at finite temperature. We explain the relation between finite …