http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
combinatorics, quantum field theory, and quantum gravity models
1 online resource (396 pages) : illustrations.
The goal of this book is to use combinatorial techniques to solve fundamental physics problems, and vice-versa, to use theoretical physics techniques to solve combinatorial problems.
Introduction -- Graphs, ribbon graphs, and polynomials -- Quantum field theory (QFT) -- built-in combinatorics -- Tree weights and renormalization in QFT -- Combinatorial QFT and the Jacobian Conjecture -- Fermionic QFT, Grassmann calculus, and combinatorics -- Analytic combinatorics and QFT -- Algebraic combinatorics and QFT -- QFT on the non-commutative Moyal space and combinatorics -- Quantum gravity, group field theory (GFT), and combinatorics -- From random matrices to random tensors -- Random tensor models -- the U(N)D-invariant model -- Random tensor models -- the multi-orientable (MO) model -- Random tensor models -- the O(N)3-invariant model -- The Sachdev-Ye-Kitaev (SYK) holographic model -- SYK-like tensor models.
Includes bibliographical references and index.