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I discuss the general principles underlying quantum field theory, and attempt to identify its most profound consequences. The deepest of these consequences result from the infinite number of degrees of freedom invoked to implement locality. I mention a few of its most striking successes, both achieved and prospective.
Wilczek, Frank
openaire +4 more sources
Quantum Field Theory on Quantum Spacetime [PDF]
Condensed account of the Lectures delivered at the Meeting on {\it Noncommutative Geometry in Field and String Theory}, Corfu, September 18 - 20, 2005.
Araki H+14 more
openaire +6 more sources
Constructive Quantum Field Theory [PDF]
A review of the renormalization group approach to the proof of non perturbative ultraviolet stability in scalar field theories in dimension d=2,3.
Aizenman+25 more
openaire +4 more sources
Relative Quantum Field Theory [PDF]
We highlight the general notion of a relative quantum field theory, which occurs in several contexts. One is in gauge theory based on a compact Lie algebra, rather than a compact Lie group. This is relevant to the maximal superconformal theory in six dimensions.
Freed, Daniel S, Teleman, Constantin
openaire +5 more sources
Reverse Engineering Quantum Field Theory [PDF]
An approach to the foundations of quantum theory is advertised that proceeds by "reverse engineering" quantum field theory. As a concrete instance of this approach, the general boundary formulation of quantum theory is outlined.
Oeckl, Robert
arxiv +3 more sources
A coincise review about Euclidean (Quantum) Field Theory is presented. It deals with the general structural properties, the connections with Quantum Field Theory, the exploitation in Constructive Quantum Field Theory, and the physical interpretation.
Guerra, Francesco
arxiv +3 more sources
Circuit complexity in quantum field theory [PDF]
Motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. We provide a quantum circuit model for the preparation of Gaussian states, in particular the ground state, in a free scalar ...
Robert A. Jefferson, Robert C. Myers
doaj +3 more sources
The quantum theory of light. [PDF]
We present a brief introduction to the quantum theory of light as it is understood in the field of quantum optics. Our aim is not to review the topic, which would require a very extensive article (or even a book of several volumes) but rather to provide ...
Barnett SM, Jeffers J.
europepmc +2 more sources
Bohmian Mechanics and Quantum Field Theory [PDF]
We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of particle motion, which in particular ascribes trajectories to the electrons or whatever sort of particles the quantum field theory is about.
D. Bohm+7 more
arxiv +3 more sources
Renormalization and quantum field theory [PDF]
30 pages Revised version fixes a gap in the definition of Feynman measure, and has other minor ...
Abe+9 more
openaire +7 more sources