We use strong sub-additivity of entanglement entropy, Lorentz invariance, and the Markov property of the vacuum state of a conformal field theory to give a new proof of the irreversibility of the renormalization group in d = 4 space-time dimensions – the a-theorem. This extends the proofs of the c and F theorems in dimensions d = 2 and d = 3 based on vacuum entanglement entropy, and gives a uni...

I introduce spin in field theory by emphasizing the close connection between quantum field theory and quantum mechanics. First, I show that the spin–statistics connection can be derived in quantum mechanics without relativity or field theory. Then, I discuss path integrals for spin without using spinors. Finally, I show how spin can be quantized in a path–integral approach, without introducing ...

For a spin1 2 particle, ~ S = ~2~σ, and gs is called the Lande g-factor. From classical calculations that treat the charged particle as a rotating piece of current, gs = 1. Surprisingly, the Dirac equation in relativistic quantum mechanics predicts that gs = 2, a result which agreed with the crude experiments of the time. In the 1940’s, a new understanding of renormalization in the developing q...

This essay considers the question of the ontology of relativistic quantum field theory (RQFT). It aims to discuss possible implications of the peculiarities of quantum entanglement and quantum non-locality within the algebraic approach to RQFT. Fundamental results such as the Reeh-Schlieder theorem do not only show that quantum entanglement is a truly central feature of RQFT, but also that quan...

In the paper are described some steps for merger between relativistic quantum theory and theory of computation. The first step is consideration of transformation of qubit state due to rotation of coordinate system. The Lorentz transformation is considered after that. The some new properties of this transformation change usual model of qubit. The system of qbit seems more fundamental relativisti...

In this work we review various findings in the planar quantum physics with the special emphasis on the two-component quantum electrodynamics in three-dimensional spacetime (QED3) with the Chern-Simons (CS) term. First the classical electrodynamics is briefly outlined. Then we construct and classify the unitary irreducible representations of the Poincaré group and connect them to various covaria...