Professor Vladimir Bazhanov

College of Science

E: vladimir.bazhanov@anu.edu.au

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Areas of expertise

Statistical Mechanics, Physical Combinatorics And Mathematical Aspects Of Condensed Matter 010506
Algebraic Structures In Mathematical Physics 010501
Numerical Analysis 010301
Quantum Physics 0206
Integrable Systems (Classical And Quantum) 010502
Mathematical Aspects Of Classical Mechanics, Quantum Mechanics And Quantum Information Theory 010503
Mathematical Aspects Of Quantum And Conformal Field Theory, Quantum Gravity And String Theory 010505

Publications

Bazhanov, V, Kotousov, G & Lukyanov, S 2018, 'Quantum transfer-matrices for the sausage model', The Journal of High Energy Physics, vol. 2018, no. 21, pp. 89pp.
Bazhanov, V & Sergeev, S 2018, 'Yang-Baxter maps, discrete integrable equations and quantum groups', Nuclear Physics B, vol. 926, pp. 509-543pp.
Bazhanov, V, Lukyanov, S & Runov, B 2018, 'Bukhvostov-Lipatov model and quantum-classical duality', Nuclear Physics B, vol. 927, pp. 468-515pp.
Bazhanov, V, Kotousov, G & Lukyanov, S 2018, 'On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems', Nuclear Physics B, vol. 934, pp. 529-556.
Batchelor, M, Bazhanov, V & Mangazeev, V 2017, 'Exactly solved models and beyond: A special issue in honour of R J Baxter's 75th birthday', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 1, pp. 6pp.
Bazhanov, V, Kels, A & Sergeev, S 2016, 'Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 46, pp. 1-44pp.
Bazhanov, V, Lukyanov, S & Runov, B 2016, 'Vacuum energy of the Bukhvostov-Lipatov model', Nuclear Physics B, vol. 911, pp. 863-889.
Bazhanov, V, Kotousov, G & Lukyanov, S 2014, 'Winding vacuum energies in a deformed O(4) sigma model', Nuclear Physics B, vol. 889, pp. 817-826.
Bazhanov, V & Lukyanov, S 2014, 'From Fuchsian differential equations to integrable QFT', Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 46, p. 8.
Bazhanov, V & Lukyanov, S 2014, 'Integrable structure of Quantum Field Theory: classical flat connections versus quantum stationary states', Journal of High Energy Physics, vol. 147, no. 9.
Mangazeev, V, Bazhanov, V & Sergeev, S 2013, 'An integrable 3D lattice model with positive Boltzmann weights', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 46.
Bazhanov, V, Kels, A & Sergeev, S 2013, 'Comment on star-star relations in statistical mechanics and elliptic gamma-function identities', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 15, pp. 152001 (1-7).
Bazhanov, V, Mangazeev, V, Okada, Y et al 2013, 'An elliptic parameterisation of the Zamolodchikov model', Nuclear Physics B, vol. 871, no. 1, pp. 127-144.
Bazhanov, V & Sergeev, S 2012, 'Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation', Nuclear Physics B, vol. 856, no. 2, pp. 475-496.
Bazhanov, V & Sergeev, S 2012, 'A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations', Advances in Theoretical and Mathematical Physics, vol. 16, no. 1, pp. 65-95.
Bazhanov, V, Frassek, R, Lukowski, T et al 2011, 'Baxter q-operators and representations of yangians', Nuclear Physics B, vol. 850, no. 1, pp. 148-174.
Bazhanov, V 2011, 'Chiral Potts model and the discrete Sine-Gordon model at roots of unity', in K. Hasegawa et al (ed.), Advanced Studies in Pure Mathematics 61, Mathematical Society of Japan, Japan, pp. 91-123.
Bazhanov, V, Lukowski, T, Meneghelli, C et al 2010, 'A shortcut to the Q-operator', Journal of Statistical Mechanics: Theory and Experiment, vol. 2010, no. 11, p. 40.
Mangazeev, V & Bazhanov, V 2010, 'The eight-vertex model and Painleve VI equation II: eigenvector results', Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 8, p. 16.
Bazhanov, V, Mangazeev, V & Sergeev, S 2010, 'QUANTUM GEOMETRY OF 3-DIMENSIONAL LATTICES AND TETRAHEDRON EQUATION**', International Congress on Mathematical Physics 2009, European Mathematical Society Publishing House, Prague, Czech Republic, p. 22.
Mangazeev, V, Dudalev, M, Bazhanov, V et al 2010, 'Scaling and universality in the two-dimensional Ising model with a magnetic field', Physical Review E-Statistical, Nonlinear and Soft Matter Physics, vol. 81, 060103(R) [4 pages]
Mangazeev, V, Batchelor, M, Bazhanov, V et al 2009, 'Variational approach to the scaling function of the 2D Ising model in a magnetic field', Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 042005, p. 10.
Bazhanov, V, Mangazeev, V & Sergeev, S 2008, 'Quantum geometry of three-dimensional lattices', Journal of Statistical Mechanics: Theory and Experiment, vol. July 2008, pp. 27p.
Bazhanov, V, Mangazeev, V & Sergeev, S 2008, 'Exact solution of the Faddeev-Volkov model', Physics Letters A, vol. 372, no. 10, pp. 1547-1550.
Bazhanov, V & Tsuboi, Z 2008, 'Baxter's Q-operators for supersymmetric spin chains', Nuclear Physics B, vol. 805, pp. 451-516.
Bazhanov, V & Mangazeev, V 2007, 'Analytic Theory of the Eight-Vertex Model', Nuclear Physics B, vol. 775, pp. 225-282.
Bazhanov, V, Mangazeev, V & Sergeev, S 2007, 'Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry', Nuclear Physics B, vol. 784, pp. 234-258.
Bazhanov, V & Sergeev, S 2006, 'Zamolodchikov's Tetrahedron Equation and Hidden Structure of Quantum Groups', Journal of Physics A: Mathematical and General, vol. 39, no. 13, pp. 3295-3310.
Bazhanov, V & Mangazeev, V 2006, 'The Eight-Vertex Model and PainlevÃ© VI', Journal of Physics A: Mathematical and General, vol. 39, pp. 12235-12243.
Bazhanov, V & Mangazeev, V 2005, 'Eight-vertex Model and Non-stationary Lame Equation', Journal of Physics A: Mathematical and General, vol. 38, pp. L145-L153.
Bazhanov, V, Lukyanov, S & Zamolodchikov, A 2003, 'Higher-level Eigenvalues of Q-operators and SchrÅ‘dinger Equation', Advances in Theoretical and Mathematical Physics, vol. 7, pp. 711-725.
Bazhanov, V, Lukyanov, S & Tsvelik, A 2003, 'Analytical Results for the Coqblin-Schrieffer Model with Generalized Magnetic Fields', Physical Review B, vol. 68, no. 9, pp. 094427-1-5.
Ellem, R & Bazhanov, V 2002, 'Excited State TBA for the Ï†_2,1 Perturbed M_3,5 Model', Nuclear Physics B, vol. 647, pp. 404-432.
Bazhanov, V, Hibberd, A & Khoroshkin, S 2002, 'Integrable structure of $\scr W\sb 3$ Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory', Nuclear Physics B, vol. 622, pp. 475-547.
Bazhanov, V, Lukyanov, S & Zamolodchikov, A 2001, 'Spectral Determinants for Schroedinger Equation and Q-Operators of Conformal Field Theory', Journal of Statistical Physics, vol. 102, no. 3/4, pp. 567-576.
Bazhanov, V, Lukyanov, S & Zamolodchikov, A 1999, 'Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation', Communications in Mathematical Physics, vol. 200, pp. 297-324.
Bazhanov, V, Lukyanov, S & Zamolodchikov, A 1999, 'On Nonequilibrium States in QFT Model with Boundary Interaction', Nuclear Physics B, vol. B, no. 549, pp. 529-545.

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Updated: 01 August 2021 / Responsible Officer: Director (Research Services Division) / Page Contact: Researchers