Algebraic Quantum Field Theory
by Hans Halvorson, Michael Mueger
Publisher: arXiv 2006
Number of pages: 202
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. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.
Home page url
Download or read it online for free here:
by Hans de Vries - Physics-Quest.org
From the table of contents: Relativistic foundations of light and matter Fields; Advanced treatment of the EM field; The relativistic matter wave equations; Foundations of Quantum Electro Dynamics; Non Abelian gauge theories.
by Colin Morningstar - arXiv
This series of six lectures is an introduction to using the Monte Carlo method to carry out nonperturbative studies in quantum field theories. Path integrals in quantum field theory are reviewed, and their evaluation is presented.
by Ted Jacobson - arXiv
These notes introduce the subject of quantum field theory in curved spacetime and some of its applications and the questions they raise. Topics include particle creation in time-dependent metrics, quantum origin of primordial perturbations, etc.
by Nils Carqueville, Ingo Runkel - arXiv.org
These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation assuming no or little prior exposure. We highlight the algebraic formulation emerging from a formal generators-and-relations description.