In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

Gauge field theories play a central role in modern physics and are at the heart of the
Standard Model of elementary particles and interactions. Despite significant progress in …

In the present work, we propose a scheme for the digital formulation of lattice gauge theories
with dynamical fermions in 3+ 1 dimensions. All interactions are obtained as a stroboscopic …

Motivated by quantum simulation, we consider lattice Hamiltonians for Yang-Mills gauge
theories with finite gauge group, for example a finite subgroup of a compact Lie group. We …

We consider the problem of the explicit description of the gauge-invariant subspace of pure
lattice gauge theories in the Hamiltonian formulation, where the gauge group is either a …

The present manuscript focuses on Lattice Gauge Theories based on finite groups. For the
purpose of Quantum Simulation, the Hamiltonian approach is considered, while the finite …

In the first part of this thesis we investigate real-time evolution of open quantum systems. We
derive the Lindblad equation, as the Markovian master equation for their evolution. The …