In these introductory lectures we discuss the topic of Yangian symmetry from various
perspectives. Forming the classical counterpart of the Yangian and an extension of ordinary …

Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics
has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become …

Two-dimensional classical chiral models of field theory are considered, the main attention
being paid on geometrical aspects of such theories. A characteristic feature of these models …

Abstract Attempts to solve Yang-Mills theory must eventually face the problem of analyzing
the theory at intermediate values of the coupling constant. In this regime neither perturbation …

The averaged moments of the eigenfunctions (including the inverse participation ratio) of a
particle in a random potential are considered near the mobility edge. The exponents of the …

This volume provides a general field-theoretical picture of critical phenomena and stochastic
dynamics and helps readers develop a practical skill for calculations. This education on the …

The development of Relativistic Quantum Field Theory started in 1932 as a natural
extension of Quantum Mechanics to the relativistic domain [1]. The work of Feynman in the …

A bstract The question of whether the holomorphic collinear singularities of graviton
amplitudes define a consistent chiral algebra has garnered much recent attention. We …

A bstract A general class of deformations of integrable sigma-models with symmetric space
F/G target-spaces are found. These deformations involve defining the non-abelian T dual of …

We develop a new canonical rs matrix type approach for integrable two-dimensional models
of non-ultralocal type. The L-matrices algebra and the monodromy matrices' algebras are …