3 papers
hep-th2026
States of 2D Yang-Mills and Large-Volume Entanglement
Dmitry Melnikov, Jefferson T. Oliveira, Valmir Peixoto +1
We study entanglement in two-dimensional Yang-Mills theory, viewed as a quasi-topological model of emergent space. The most familiar class of states in this theory are states defin…
quant-ph2025
A Tutorial on Knots and Quantum Mechanics
Dmitry Melnikov
These notes review a description of quantum mechanics in terms of the topology of spaces, basing on the axioms of Topological Quantum Field Theory and path integral formalism. In t…
hep-th2024
Jones polynomials from matrix elements of tangles in a pseudounitary representation
Dmitry Melnikov
In these notes we review the calculation of Jones polynomials using a matrix representation of the braid group and Temperley-Lieb algebra. The pseudounitary representation that we…