Group Field Theories
by Thomas Krajewski
Publisher: arXiv 2012
Number of pages: 58
Description:
Group field theories are particular quantum field theories defined on D copies of a group which reproduce spin foam amplitudes on a space-time of dimension D. In these lecture notes, we present the general construction of group field theories, merging ideas from tensor models and loop quantum gravity.
Download or read it online for free here:
Download link
(700KB, PDF)
Similar books

by A.N. Schellekens
All particles in the standard model correspond to some field in a quantum field theory. Our task is to understand how this works, how to describe interactions of these particles using quantum field theory, and how to compute various processes.
(11445 views)

by Matthew Schwartz - Harvard University
The approach is to emphasize that Quantum Field Theory is first and foremost a tool for performing practical calculations. I will emphasize the physical problems which have driven the development of the field, and to show how they can be solved.
(8067 views)

by Bojko Bakalov, Alexander Kirillov - American Mathematical Society
The book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors.
(10901 views)

by J. Berges - arXiv
An introduction to functional integral techniques and how they can be applied in practice. Though we focus on particle physics and cosmology applications, we emphasize that these techniques can be equally applied to other nonequilibrium phenomena.
(10248 views)