Günter von Gehlen


Physikalisches Institut der Universität Bonn
Nußallee 12
D-53115 Bonn
Federal Republic of Germany

Tel: office +49-228-73-3244
Tel: secretary -228-73-3247
Fax: +49-228-73-3223

To contact me, please send e-mail to

Jan 24th, 2010

Research Areas:

Theory of Phase Transitions, Exactly Integrable Models, Conformal Quantum Field Theory


Some recent publications:

  1. A.Honecker and G.von Gehlen, Exitation spectrum and correlation functions of the Z3-chiral Potts quantum spin chain, Nucl.Phys.B 435 (FS) (1995) 505-525
  2. G.von Gehlen, Integrable Zn-chiral Potts model: The missing rapidity- momentum relation, hep-th/9601001,
    published in "Statistical models, Yang-Baxter equation and related topics",
    ed. M.L.Ge & F.Y.Wu, World Scientific 1996, p.102-109
  3. G.von Gehlen, Finite-size energy levels of the superintegrable chiral Potts model, hep-th/9811123,
    published in "Supersymmetries and Quantum Symmetries", ed. J.Wess & E.A.Ivanov,
    Springer Lecture Notes in Physics 524, (1999) p.307-321
  4. Chr.Ritter and G.von Gehlen, Correlation functions and corner transfer matrix of the chiral Potts model,
    cond-mat/0009255, published in "Quantization, Gauge Theory and Strings", Vol.I, 563-578,
    ed.A.Semikhatov, M.Vasiliev, V.Zaikin, Scientific World Publ.Co. 2001
  5. G.von Gehlen and Shi-shyr Roan, The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials, hep-th/0104144,
    published in "Integrable Structures of Exactly Solvable...", NATO Science Series II, Vol.35, 155-172 (2001)
  6. G.von Gehlen, Onsager's algebra and partially orthogonal polynomials, hep-th/0201195, Int.J.Mod.Phys. B16 (2002) 2129-2136
  7. G.von Gehlen, S.Pakuliak and S.Sergeev, Explicit free parameterization of the Modified Tetrahedron Equation,
    arXiv:nlin.SI/0208035, Journ.of Phys.A: Math. Gen. 36 (2003) 975-998
  8. G.von Gehlen, S.Pakuliak and S.Sergeev, The Modified Tetrahedron Equation and its solutions, arXiv:nlin.SI/0303043,
    Intern.Journ.of Mod.Phys.A19 Suppl.(2004) 179-204
  9. G.von Gehlen, S.Pakuliak and S.Sergeev, Theta function parameterization and fusion for 3-D integrable
    Boltzmann weights, arXiv:nlin.SI/0305031, Journ.of Phys.A: Math. Gen. 37 (2004) 1159-1179
  10. G.von Gehlen, S.Pakuliak and S.Sergeev, Bazhanov-Stroganov model from 3D approach,
    Journ.of Phys.A: Math. Gen. 38 (2005) 7269-7298; arXiv:nlin.SI/0505019, 34 pages, 6 figures
  11. G.von Gehlen, S.Pakuliak and S.Sergeev, 3-dimensional integrable lattice models and the Bazhanov-Stroganov model,
    Nankai Tracts in Math. 10: Diff.Geometry and Physics, ed. Mo-Lin Ge and Weiping Zhang, p.210-220, World Scient. Singapore 2006
  12. G.von Gehlen, N. Iorgov, S.Pakuliak and V.Shadura, Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation,
    Journ.of Phys.A: Math.Gen. 39 (2006) 7257-7282; arXiv:nlin.SI/0603028, 28 pages, 1 figure
  13. G.von Gehlen, N. Iorgov, S.Pakuliak, V.Shadura and Yu.Tykhyy, Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements,
    Journ.of Phys.A: Math.Theor. 40 (2007) 14117-14138; arXiv:0708.4342[nlin.SI], 24 pages
  14. G.von Gehlen, N. Iorgov, S.Pakuliak, V.Shadura and Yu.Tykhyy, Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice,
    Journ.of Phys.A: Math.Theor. 41 (2008) 0950003 (24pages); arXiv:0711.0457 [nlin.SI]
  15. G.von Gehlen, N. Iorgov, S.Pakuliak and V.Shadura, Factorized finite-size Ising model spin matrix elements from separation of variables,
    Journ.of Phys.A: Math.Theor. 42 (2009) 304026 (28pages); arXiv:0904.2265 [nlin.SI]
  16. N. Iorgov, V.Shadura, Yu. Tykhyy, S. Pakuliak and G. von Gehlen, Spin operator matrix elements in the superintegrable chiral Potts quantum chain,
    J.Stat.Phys. 139 (2010) 743-768; arXiv:0912.5027 [cond-mat.stat-mech] (24 pages)

Workshops organized:

NATO Advanced Research Workshop "Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models", held 25-30 Sept.2000 in Kiev, Ukraine, Co-Directors: G.von Gehlen & Vitaly N.Shadura. Proceedings: NATO Science Series II/35, Kluwer academic publishers, eds. S.Pakuliak & G.von Gehlen

"Lessons from low dimensions - the many aspects of Conformal Field Theory", Bonn, 8-10 April 2005,
http://www.th.physik.uni-bonn.de/cft
Organizers: R.Flume, G.v.Gehlen, H.P.Nilles, Chr.Schweigert

Collaborations:

  1. INTAS-OPEN-97-1312: "Dynamical Symmetries of two-dimensional integrable quantum field theories and integrable models in statistical physics" (begin: March 1999, duration 2 years, funded by INTAS, International Association for the promotion of cooperation with scientists from the New Independent States of the former Soviet Union, Brussels)
  2. INTAS 00-00055: "Integrable structure of exactly solvable two-dimensional models of quantum field theory" (July 2001-July 2003, funded by INTAS, Brussels)
  3. INTAS 03-51-3350: "Correlation functions in integrable models of quantum field theory and their applications
    to phase transitions in low-dimensional systems" (June 2004-May 2006)
  4. Heisenberg-Landau Program 2001, Project HLP-2001-15: "Spin chain models governed by a high genus elliptic curve" (with JINR Dubna, Moscow region)
  5. Heisenberg-Landau Program 2002, Project HLP-2002-11: "Spin chain models governed by a high genus elliptic curve" (with JINR Dubna, Moscow region)
  6. Heisenberg-Landau Program 2003, Project HLP-2003-12 "Three dimensional lattice integrable models"
    (with S.Pakuliak and S.Sergeev, BLTP Joint Institute for Nuclear Research, Dubna)
  7. Heisenberg-Landau Program 2004, Project HLP-2004 "3-dimensional approach for solving 2-dimensional integrable lattice spin models"
    (with S.Pakuliak,BLTP Joint Inst. for Nuclear Research, Dubna and S.Sergeev, Australian Nat. Univ. Canberra)
  8. Heisenberg-Landau Program 2005, Project HLP-2005 "Chiral Potts and related 2-dimensional integrable models"
    (with S.Pakuliak, S.Sergeev, V.Shadura and N.Iorgov,BLTP Dubna, ANU Canberra, BITP Kiev)
  9. Heisenberg-Landau Program 2006, Project HLP-2006 "Separation of variables in the integrable spin models"
    (with S.Pakuliak, V.Shadura and N.Iorgov,BLTP Dubna, BITP Kiev)
  10. Heisenberg-Landau Program 2007, Project HLP-2007 "Matrix elements of the local operators in integrable spin models"
    (with S.Pakuliak, V.Shadura and N.Iorgov,BLTP Dubna, BITP Kiev)
  11. Heisenberg-Landau Program 2008, Project HLP-2008 "Eigenvectors and form-factors in the integrable spin models"
    (with S.Pakuliak, V.Shadura and N.Iorgov,BLTP Dubna, BITP Kiev)
  12. Heisenberg-Landau Program 2009, Project HLP-2009 "Eigenfunctions for the Baxter-Bazhanov-Stroganov model in the thermodynamic limit"
    (with S.Pakuliak, V.Shadura and N.Iorgov,BLTP Dubna, BITP Kiev)
  13. Heisenberg-Landau Program 2010, Project HLP-2010 "Spontaneous magnetization and form-factors in the superintegrable chiral Potts model"
    (with S.Pakuliak, V.Shadura, N.Iorgov and Yu. Tykhyy, BLTP Dubna, BITP Kiev)

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