Professor Vladimir Bazhanov

Position	Emeritus Professor
Department	Fundamental & Theoretical Physics
Research group	Mathematical physics group
Office phone	(02) 612 55500
Email
Office	Oliphant 4 05

arXiv pre-prints

Bazhanov V, Kotousov G, Koval S, Lukyanov S
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 17 (2021) 1-29
arXiv:2010.10615v2

Bazhanov V, Kotousov G, Lukyanov S
Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
Journal of High Energy Physics 2021 (2021) 1-47
arXiv:2010.10603v2

Bazhanov V, Kotousov G, Koval S, Lukyanov S
Scaling limit of the ${\cal Z}_2$ invariant inhomogeneous six-vertex model
Nuclear Physics B 965 (2021) 1-156
arXiv:2010.10613v2

Bazhanov V, Kotousov G, Koval S, Lukyanov S
On the scaling behaviour of the alternating spin chain
The Journal of High Energy Physics 2019 (2019) 1-30
arXiv:1903.05033v2

Bazhanov V, Kotousov G, Lukyanov S
On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
Nuclear Physics B 934 (2018) 529-556
arXiv:1805.07417v2

Bazhanov V, Kotousov G, Lukyanov S
Quantum transfer-matrices for the sausage model
The Journal of High Energy Physics 2018 (2018) 89pp
arXiv:1706.09941v4

Bazhanov V, Lukyanov S, Runov B
Bukhvostov-Lipatov model and quantum-classical duality
Nuclear Physics B 927 (2018) 468-515pp
arXiv:1711.09021v1

Bazhanov V, Kels A, Sergeev S
Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs
Journal of Physics A: Mathematical and Theoretical 49 (2016) 1-44pp
arXiv:1602.07076v4

Bazhanov V, Lukyanov S, Runov B
Vacuum energy of the Bukhvostov-Lipatov model
Nuclear Physics B 911 (2016) 863-889
arXiv:1607.04839v1

Bazhanov V, Sergeev S
Yang-Baxter Maps, Discrete Integrable Equations and Quantum Groups
Nuclear Physics B 926 (2018) 509-543pp
arXiv:1501.06984v2

Bazhanov V, Lukyanov S
From Fuchsian differential equations to integrable QFT
Journal of Physics A: Mathematical and Theoretical 47 (2014) 8
arXiv:1310.8082v2

Bazhanov V, Kotousov G, Lukyanov S
Winding vacuum energies in a deformed O(4) sigma model
Nuclear Physics B 889 (2014) 817-826
arXiv:1409.0449v1

Bazhanov V, Lukyanov S
Integrable structure of Quantum Field Theory: Classical flat connections versus quantum stationary states
Journal of High Energy Physics 147 (2014)
arXiv:1310.4390v2

Mangazeev V, Mangazeev V, Mangazeev V, Mangazeev V, Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Sergeev S, Sergeev S
An integrable 3D lattice model with positive Boltzmann weights
Journal of Physics A: Mathematical and Theoretical 46 (2013)
arXiv:1308.4773v2

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Mangazeev V, Mangazeev V, Mangazeev V, Mangazeev V, Okada Y, Okada Y, Sergeev S, Sergeev S
An Elliptic Parameterisation of the Zamolodchikov Model
Nuclear Physics B 871 (2013) 127-144
arXiv:1212.6800v3

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Kels A, Kels A, Sergeev S, Sergeev S
Comment on star-star relations in statistical mechanics and elliptic gamma-function identities
Journal of Physics A: Mathematical and Theoretical 46 (2013) 152001 (1-7)
arXiv:1301.5775v1

Bazhanov V, Sergeev S
Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
Nuclear Physics B 856 (2012) 475-496
arXiv:1106.5874v1

Bazhanov V, Lukowski T, Meneghelli C, Staudacher M
A Shortcut to the Q-Operator
Journal of Statistical Mechanics: Theory and Experiment 2010 (2010) 40
arXiv:1005.3261v3

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Frassek R, Frassek R, Lukowski T, Lukowski T, Meneghelli C, Meneghelli C, Staudacher M, Staudacher M
Baxter Q-Operators and Representations of Yangians
Nuclear Physics B 850 (2011) 148-174
arXiv:1010.3699v2

Bazhanov V, Sergeev S
A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations
Advances in Theoretical and Mathematical Physics 16 (2012) 65-95
arXiv:1006.0651v2

Mangazeev V, Dudalev M, Bazhanov V, Batchelor M, Batchelor M
Scaling and universality in the 2D Ising model with a magnetic field
Physical Review E-Statistical, Nonlinear and Soft Matter Physics 81 (2010) 4
arXiv:1002.4234v2

Mangazeev V, Bazhanov V
Eight-vertex model and Painlev\'e VI equation. II. Eigenvector results
Journal of Physics A: Mathematical and Theoretical 43 (2010) 16
arXiv:0912.2163v2

Bazhanov V, Mangazeev V, Sergeev S
Quantum Geometry of 3-Dimensional Lattices and Tetrahedron Equation
XVIth International Congress on Mathematical Physics 2009 (2010) 23-44
arXiv:0911.3693v1

Bazhanov V, Tsuboi Z
Baxter's Q-operators for supersymmetric spin chains
Nuclear Physics B 805 (2008) 451-516
arXiv:0805.4274v3

Mangazeev V, Batchelor M, Batchelor M, Bazhanov V, Dudalev M
Variational approach to the scaling function of the 2D Ising model in a magnetic field
Journal of Physics A: Mathematical and Theoretical 42 (2009) 10
arXiv:0811.3271v2

Bazhanov V
Chiral Potts model and the discrete Sine-Gordon model at roots of unity
Advanced Studies in Pure Mathematics 61 (2011) 91-123pp
arXiv:0809.2351v2

Bazhanov V, Mangazeev V, Sergeev S
Quantum geometry of 3-dimensional lattices
Journal of Statistical Mechanics: Theory and Experiment July 2008 (2008) 27p
arXiv:0801.0129v3

Bazhanov V, Mangazeev V, Sergeev S
Exact solution of the Faddeev-Volkov model
Physics Letters A 372 (2008) 1547-1550
arXiv:0706.3077v2

Bazhanov V, Mangazeev V, Sergeev S
Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry
Nuclear Physics B 784 (2007) 234-258
arXiv:hep-th/0703041v2

Bazhanov V, Mangazeev V
Analytic theory of the eight-vertex model
Nuclear Physics B 775 (2007) 225-282
arXiv:hep-th/0609153v3

Bazhanov V, Sergeev S
Zamolodchikov's Tetrahedron Equation and Hidden Structure of Quantum Groups
Journal of Physics A: Mathematical and General 39 (2006) 3295-3310
arXiv:hep-th/0509181v2

Bazhanov V, Mangazeev V
Eight-vertex model and non-stationary Lame equation
Journal of Physics A: Mathematical and General 38 (2005) L145-L153
arXiv:hep-th/0411094v2

Bazhanov V, Lukyanov S, Zamolodchikov A
Higher-level eigenvalues of Q-operators and Schroedinger equation
Advances in Theoretical and Mathematical Physics 7 (2003) 711-725
arXiv:hep-th/0307108v2

Ellem R, Bazhanov V
Excited State TBA for the $\phi_{2,1}$ perturbed $M_{3,5}$ model
Nuclear Physics B 647 (2002) 404-432
arXiv:hep-th/0205238v1

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Hibberd A, Hibberd A, Khoroshkin S, Khoroshkin S
Integrable structure of W_3 Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory
Nuclear Physics B 622 (2002) 475-547
arXiv:hep-th/0105177v3

Bazhanov V, Lukyanov S, Zamolodchikov A
Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation
Communications in Mathematical Physics 200 (1999) 297-324
arXiv:hep-th/9805008v2

Bazhanov V
Thermodynamic Bethe Ansatz for the subleading magnetic perturbation of the tricritical Ising model
Nuclear Physics B 512 (1998) 563-580
arXiv:hep-th/9703026v3

V. V. Bazhanov, S. L. Lukyanov, A. B. Zamolodchikov
Integrable Quantum Field Theories in Finite Volume: Excited State Energies
arXiv:hep-th/9607099v1

Publications

Book chapter

Bazhanov V
Chiral Potts model and the discrete Sine-Gordon model at roots of unity
Advanced Studies in Pure Mathematics 61
Mathematical Society of Japan, Japan (2011) 91-123

Bazhanov V, Mangazeev V, Sergeev S
QUANTUM GEOMETRY OF 3-DIMENSIONAL LATTICES AND TETRAHEDRON EQUATION
XVIth International Congress on Mathematical Physics 2009
World Scientific Publishing Company, Prague (2010) 23-44

(2 publications)

Journal article

Bazhanov V, Sergeev S
An Ising-type formulation of the six-vertex model
Nuclear Physics B 986(2023)

Bazhanov V, Kotousov G, Lukyanov S
Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
Journal of High Energy Physics 2021, 3(2021) 1-47

Mangazeev V, Batchelor M, Bazhanov V
The hidden symmetry of the asymmetric quantum Rabi model
Journal of Physics A: Mathematical and Theoretical 54, 12(2021)

Bazhanov V, Kotousov G, Koval S, Lukyanov S
Scaling limit of the Z2 invariant inhomogeneous six-vertex model
Nuclear Physics B 965(2021) 1-156

Bazhanov V, Kotousov G, Koval S, Lukyanov S
On the scaling behaviour of the alternating spin chain
The Journal of High Energy Physics 2019, 87(2019) 1-30

Bazhanov V, Sergeev S
Yang-Baxter maps, discrete integrable equations and quantum groups
Nuclear Physics B 926(2018) 509-543

Bazhanov V, Kotousov G, Lukyanov S
On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
Nuclear Physics B 934(2018) 529-556

Bazhanov V, Kotousov G, Lukyanov S
Quantum transfer-matrices for the sausage model
The Journal of High Energy Physics 2018, 21(2018) 89

Bazhanov V, Lukyanov S, Runov B
Bukhvostov-Lipatov model and quantum-classical duality
Nuclear Physics B 927(2018) 468-515

Bazhanov V, Lukyanov S, Runov B
Vacuum energy of the Bukhvostov-Lipatov model
Nuclear Physics B 911(2016) 863-889

Bazhanov V, Kels A, Sergeev S
Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs
Journal of Physics A: Mathematical and Theoretical 49, 46(2016) 1-44

Bazhanov V, Lukyanov S
From Fuchsian differential equations to integrable QFT
Journal of Physics A: Mathematical and Theoretical 47, 46(2014) 8

Bazhanov V, Kotousov G, Lukyanov S
Winding vacuum energies in a deformed O(4) sigma model
Nuclear Physics B 889(2014) 817-826

Bazhanov V, Lukyanov S
Integrable structure of Quantum Field Theory: classical flat connections versus quantum stationary states
Journal of High Energy Physics 147, 9(2014)

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Mangazeev V, Mangazeev V, Mangazeev V, Mangazeev V, Okada Y, Okada Y, Sergeev S, Sergeev S
An elliptic parameterisation of the Zamolodchikov model
Nuclear Physics B 871, 1(2013) 127-144

Bazhanov V, Sergeev S
A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations
Advances in Theoretical and Mathematical Physics 16, 1(2012) 65-95

Bazhanov V, Sergeev S
Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
Nuclear Physics B 856, 2(2012) 475-496

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Frassek R, Frassek R, Lukowski T, Lukowski T, Meneghelli C, Meneghelli C, Staudacher M, Staudacher M
Baxter q-operators and representations of yangians
Nuclear Physics B 850, 1(2011) 148-174

Bazhanov V, Lukowski T, Meneghelli C, Staudacher M
A shortcut to the Q-operator
Journal of Statistical Mechanics: Theory and Experiment 2010, 11(2010) 40

Mangazeev V, Dudalev M, Bazhanov V, Batchelor M, Batchelor M
Scaling and universality in the two-dimensional Ising model with a magnetic field
Physical Review E-Statistical, Nonlinear and Soft Matter Physics 81, 6(2010) 4

Mangazeev V, Bazhanov V
The eight-vertex model and Painleve VI equation II: eigenvector results
Journal of Physics A: Mathematical and Theoretical 43, 8(2010) 16

Bazhanov V, Tsuboi Z
Baxter's Q-operators for supersymmetric spin chains
Nuclear Physics B 805(2008) 451-516

Bazhanov V, Mangazeev V, Sergeev S
Quantum geometry of three-dimensional lattices
Journal of Statistical Mechanics: Theory and Experiment July 2008(2008) 27p

Bazhanov V, Mangazeev V, Sergeev S
Exact solution of the Faddeev-Volkov model
Physics Letters A 372, 10(2008) 1547-1550

Bazhanov V, Mangazeev V
Analytic Theory of the Eight-Vertex Model
Nuclear Physics B 775(2007) 225-282

Bazhanov V, Mangazeev V, Sergeev S
Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry
Nuclear Physics B 784(2007) 234-258

Bazhanov V, Mangazeev V
The Eight-Vertex Model and Painlev� VI
Journal of Physics A: Mathematical and General 39(2006) 12235-12243

Bazhanov V, Sergeev S
Zamolodchikov's Tetrahedron Equation and Hidden Structure of Quantum Groups
Journal of Physics A: Mathematical and General 39, 13(2006) 3295-3310

Bazhanov V, Mangazeev V
Eight-vertex Model and Non-stationary Lame Equation
Journal of Physics A: Mathematical and General 38(2005) L145-L153

Bazhanov V, Lukyanov S, Tsvelik A
Analytical Results for the Coqblin-Schrieffer Model with Generalized Magnetic Fields
Physical Review B 68, 9(2003) 094427-1-5

Bazhanov V, Lukyanov S, Zamolodchikov A
Higher-level Eigenvalues of Q-operators and Schr?dinger Equation
Advances in Theoretical and Mathematical Physics 7(2003) 711-725

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Hibberd A, Hibberd A, Khoroshkin S, Khoroshkin S
Integrable structure of $\scr W\sb 3$ Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory
Nuclear Physics B 622(2002) 475-547

Ellem R, Bazhanov V
Excited State TBA for the ?_2,1 Perturbed M_3,5 Model
Nuclear Physics B 647(2002) 404-432

Bazhanov V, Bazhanov V, Bazhanov V, Bazhanov V, Lukyanov S, Lukyanov S, Zamolodchikov A, Zamolodchikov A
Spectral Determinants for Schroedinger Equation and Q-Operators of Conformal Field Theory
Journal of Statistical Physics 102, 3/4(2001) 567-576

Bazhanov V, Lukyanov S, Zamolodchikov A
On Nonequilibrium States in QFT Model with Boundary Interaction
Nuclear Physics B B, 549(1999) 529-545

Bazhanov V, Lukyanov S, Zamolodchikov A
Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation
Communications in Mathematical Physics 200(1999) 297-324

Bazhanov V
Thermodynamic Bethe ansatz for the subleading magnetic perturbation of the tricritical Ising model
Nuclear Physics B 512, 3(1998) 563-580

(41 publications)

Journal short contribution (non refereed)

Batchelor M, Bazhanov V, Mangazeev V
Exactly solved models and beyond: A special issue in honour of R J Baxter's 75th birthday
Journal of Physics A: Mathematical and Theoretical 50, 1(2017) 6

Bazhanov V, Dorey P, Kajiwara K, Takasaki K
Special issue on fifty years of the Toda lattice
Journal of Physics A: Mathematical and Theoretical 50, 31(2017) 3

(2 publications)

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