Fermi two-atom problem: Nonperturbative approach via relativistic quantum information and algebraic quantum field theory

Relativistic Quantum Field Theory

Algebraic Quantum Field Theory∗

Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools — the theory of operator algebras, category theory, etc.. Given the rigor and generality of AQFT, it is a particularly apt tool for studying the foundations of QFT. This paper is...

Linking topological quantum field theory and nonperturbative quantum gravity

Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory, in which the pullback of the curvature to the boundary is self-dual (with a cosmological constant). A Hilbert space which describes all the information accessible by measuring the metric and connection induced...

Nonperturbative Quantum Field Theory on the Lattice

These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics; lecture 2 (Ch. 3): Abelian duality with a lattice regulator; (Ch. 4) simple lattice intuition; lecture 3 (Ch. 5): standard methods (and results) for hadron spectroscopy; lecture 4 (Ch. 6): bare actions...

Nonperturbative calculational method in quantum field theory

An approximate procedure for performing nonperturbative calculations in quantum field theories is presented. The focus will be quantum non-Abelian gauge theories with the goal of understanding some of the open questions of these theories such as the confinement phenomenon and glueballs. One aspect of this nonperturbative method is the breaking down of the non-Abelian gauge group into smaller pi...