Professor Vladimir Bazhanov

Position	Emeritus Professor
Department	Fundamental & Theoretical Physics
Research group	Mathematical physics group
Office phone	(02) 612 55500
Email
Office	Physics New 2 28

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

Bazhanov V, Kels A, 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, Frassek R, Lukowski T, Meneghelli C, 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
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, 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, Hibberd A, 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) 59

Mangazeev V, Hagan B, Bazhanov V
Corner transfer matrix approach to the Yang-Lee singularity in the two-dimensional Ising model in a magnetic field
Physical Review E 108, 6(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

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

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

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

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

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

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

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

Mangazeev V, Dudalev M, Bazhanov V, 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

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 Painlevé 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, Hibberd A, 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, Lukyanov S, 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

(42 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)