Generating loop graphs via Hopf algebra in quantum field theory
We use the Hopf algebra structure of the time-ordered algebra of field operators to generate all connected weighted Feynman graphs in a recursive and efficient manner. The algebraic representation of the graphs is such that they can be
Lorentz violation and deformed special relativity
In quantum field theory, the principles of special relativity play a crucial role. The Standard Model is a renormalizable quantum field theory with a few Every realistic theory has to reduce to an effective quantum field theory
Lauda on Topological Field Theory and Tangle Homology
But he has broad interests, so Lauda wound up doing his thesis on Frobenius algebras, categorified Frobenius algebras, and their applications to topological quantum field theory and things like Khovanov homology.
String Theory
I read Leonard Susskind's "String Theory and the Illusion of Intelligent Design Over the last 20 years, string theory has become a large field of study in the the potential universes are like in a state of quantum indeterminacy,
Deformed Special Relativity
A quantum field theory with DSR can be formulated as a theory with higher derivatives in the Lagrangian (see eg hep-th/0603032, or gr-qc/0603073). In fact, as I like to point out, in a power series expansion one needs arbitrarily high
Loop Quantum Gravity, Representation Theory and Particle Physics
The incompatibility between quantum field theory and general relativity is due to Surely this is compatible with Yang-Mills quantum field theory where the loop is The error in existing quantum field theory which require manual
The temptation of rigor
In the case of algebraic holography, a rigorous proof due to Karl-Henning Rehren may be given to show that a local "quantum field theory in d+1-dimensional anti de Sitter space" is equivalent to a local "quantum field theory defined on
Books for Quantum field theory?
Hi,there! I want to study Quantum Field Theory but I don't know what book to use! I have a rather good background in quantum mechanics and electrodynamics, and I probably can gain access on the
I’ve Got The World On A String … NOT!
For this reason the 20th Century saw the development of another general theory of physical matter, the quantum field theory, also known as quantum mechanics. Inaugurated by the German Max Planck (perhaps the most important scientist you
Quantum Field Theory: A Modern Perspective
Quantum field theory, which started with Paul Dirac’s work shortly after the At this stage, a strong case can be made that quantum field theory is the Quantum Field Theory: A Modern Perspective serves as a portal to so many more
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