Professor Vladimir Bazhanov

Position Professor
Department Department of Theoretical Physics
Office phone (02) 612 55500
Office Oliphant 4 05

Mathematical Aspects of Conformal Field Theory

Conformal Field Theory (CFT) in two-dimensions describes physics of the second order transitions in statistical mechanics and also plays important role in string theory, which is expected to unify the theory of strong interaction with quantum gravity. The project aims to explore and further develop mathematical techniques of CFT.  

Professor Vladimir Bazhanov, Dr Vladimir Mangazeev

Exact Bohr-Sommerfeld quantisation and Conformal Field Theory

It is well known that the quasiclassical quantisation of the harmonic oscillator leads to its exact quantum mechanical spectrum. Remarkably, this result can be generalized to various anharmonic systems via mysterious connections to Conformal Field Theory.

Professor Vladimir Bazhanov

Combinatorics and integrable systems

We will study links between integrable systems in statistical mechanics, combinatorial problems and special functions in mathematics. This area of research has attracted many scientist's attention during the last decade and revealed unexpected links to other areas of mathematics like enumeration problems and differential equations.

Dr Vladimir Mangazeev, Professor Vladimir Bazhanov

New connections between classical and quantum field theories

The standard correspondence principle implies that quantum theory reduces to classical theory in the limit of the vanishing Planck constant. This project is devoted to a new type connection between quantum and classical systems which holds for arbitrary finite values of the Planch constant.

Professor Vladimir Bazhanov

String theory and integrable systems

This project aims to develop and employ the full power of the theory of integrable quantum systems to new models of quantum many-body spin systems in string theory.

Professor Vladimir Bazhanov

High energy scattering in gauge and string theories

It appears that the scattering amplitudes in Quantum Chromodynamics (theory of strong interactions) can be exactly calculated in certain limiting cases (e.g. in the so-called multi-Redge kinematics). This is possible due to remarkable connections of this problem to the theory of integrable systems based on the Yang-Baxter equation. 

Professor Vladimir Bazhanov

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