Georgian Academy of Sciences

Anzor Khelashvili

Born 1938 y. Professor (Theoretical and Mathematical Physics)

PhD (Doctorial) dissertation "Chiral symmetry and quasipotential equations in strong interaction dynamics" (Dubna, JINR,1983)

PhD (Candidate) dissertation "Some problems in Potential scattering theory" (TSU, Tbilisi, 1967)

Elementary Particle Physics, quantum field theory

Head of chair of theoretical physics (TSU) and head of laboratory of quantum field theory (HEPI of TSU)

Vice rector in scientific work of Tbilisi State University
Price of P. Melikishvili (1983)
Member of Georgian Academy of Pedagogical Sciences
Member of American Physical Society (APS)

Address:

Office: 1 I.Chavchavadze av.
Tel: 22-35-01, 23-13- , fax 22-11-03
e-mail: [email protected]

Home: 20 Ateni str. Tbilisi, 380079
Tel: 23-51-63

Scientific Works:

  1. Ademollo-Gatto Theorem in Perturbation Theory (with V.Yu.Khmaladze). Proc.of Georg. Acad. of Sciences, v.74 (1975), 321-324.
  2. One-Loop Corrections to the Dashen-Weinbtein Theorem Near the Chiral Symmetry Limit in SU(3) Sigma Model (with V.Yu. Khmaladze), Proc.of Georg. Acad. of Sciences, v.79, (1975) 57-61.
  3. Investigation of Nonanalyticity in Chiral- Symmetric Limit in the SU(3) Sigma Model (with V.Yu.Khmaladze). Proc. of Georg. Acad. of Sciences,v.79 (1975)421-426.
  4. Tree Approximation Treatment of the Chiral Symmetry Breaking Mechanisms in Generalized Sigma Model and the Slope OF Kl3 Form factors. Nuclear Physics, B90 (1975)336-348.
  5. Quasipotential Equation in Null-Plane Quantum Field Theory And the Form Factors of Composite Particles. Preprint of JINR , P2-8750, Dubna(1975).
  6. Null-Plane Quantization and the Quasipotetial Equation for Composite Particles,Proc. of XYIII Int. Conf. in High Energy Physics, v.1, C111-c115(1975).
  7. Spectral and Projective Properties of "Two-Time’" Green Functions of N-Particles in Null-Plane Quantum Field Theory (withA.N.Kvinikhidze, V.A.Matveev, A.N. Tavkhelidze). TMF, v.29(1976) 3-18.
  8. Scalar Particle Mass in the SU(2) Sigma Model (with O.G.Muskhelishvili). Proc. of Georg. Acad. of Sciences, v.88 (1977)577-579.
  9. Nonet of Scalar Bosons in Chiral Dynamics. Proc. of Georg. Acad. of Sciences, v.86 (1977)577-579.
  10. Higgs Mechanism and Massless Limit of Non-AbelianMassive Yang-Mills Field (with A.G.Bakhtadze, L.P.Lomidze). Proc. of TSU, v.181 (1976)54-59.
  11. Regularized Linear Potential and the Radial Excitation Spectrum of J/Psi Particles (with Sh.I.Vashakidze), Proc. of TSU, v.196, 5-11 (1977).
  12. Radial Quasipotential Equation for Two Spinorial Particles (with (M.V.Margvelashvili) Proc. of TSU,v. 196, 47-60 (1978).
  13. Invariance Properties of Weak Interactions and Cabibbo Angle in Chiral Dynamics. TMF, v.36,324-334(1978).
  14. On the spectrum of Logarithmic Potential. Proc. of Georg. Acad. of Sciences, v.92, 321-324(1978).
  15. Logarithmic Potential and Spectrum of Vector Particles. Proc. of Georg. Acad. of Sciences, v.93, 317-321(1979).
  16. Logarithmic Potential and Some Peculiarities of Particle Spectra, Proc. TSU, v.208,23-44 (1979).
  17. Cabibbo Angle and Chiral Symmetry.TSU (1979).
  18. Gauge Technique of Delbourgo and the Gluon Propagator in Light- Like Gauge,Proc. of Georg. Acad. of Science, v.99,73-76(1980).
  19. gauge Invariant Representation of Delbourgo and the GLUON propagator, Proc. of Int. Conf. "QUARKS-80", 112-115(1980).
  20. Delbourgo’s Representation and the Gluon Propagator in Light-Like Gauge, TMF,v.46,225-231(1981).
  21. Relativistic Equations for Infinitely Rising Potentials. Proc. of Georg. Acad. of Sciences, v.104,569-572(1981).
  22.  Radial Quasipotential Equations for Fermions and Antifermions and Infinitely Rising Central Potentials. TMF,v.51,201-210 (1982).
  23. Three Quarks’ Bound States in the Case of Logarithmic Potential (with V.Yu. Khmaladze, N.L.Khvingia, N.D.Chachava). Proc.of Georg. Acad.of Sciences,v.112,57-60(1983).
  24. Chiral Symmetry and Quasipotential Equations in Hadron Dynamics. Doctor Dissertation, 2-82-362, Dubna (1982).
  25. Many-Body Problem with Logarithmic Potential and Baryon Masses(with V.Yu.Khmaladze, N.D.Chachava) In "Few-Body Probems in Physics, (1984).
  26. Model of Relativistic Two Fermion Bound State Problem with Infinitely Rising Potentials (withZ.K.Silagadze). TMF, v.61,431-441.
  27. Many-Body Problem with Logarithmic Potential and its Application to Quarks’ Bound States (with V.Yu. Khmaladze, N.D.Chachava), TMF,v.62,136-143(1985).
  28. Spectra of Mesons and Baryons in Logarithmic Potential Model (with V.Yu.Khmaladze, N.D.Chachava). Proc. of Int. conf. "QUARKS-84",175-180(1984).
  29. Baryon Masses in Logarithmic Potential Model (withV.Yu.Khmaladze, N.D.Chachava). Proc. of Georg. Acad. of Sciences,v.123,63-66 (1986).
  30. Light-Like Gauge in Dyson- Schwinger Equation and Infrared Behaviour of Gluon Propagator (with K.R.Natroshvili, V.Yu.Khmaladze). Proc.of YII Int. Seminar in Problems of High Energy Physics and Quantum Field Theory, v.2,153-163, Protvino-Serpukhov (1984).
  31. Relativistic Equations for Two Fermion Bound States and Quarkonium Problem.In "Few-Body Problems in Physics’ 373-381, Singapore (1984).
  32. Infrared Behaviour of the Gluon Propagator in Yang-Mills Theory (with K.R.Natroshvili, V.Yu. Khmaladze), TMF, v.65, 360-367 (1985).
  33. Solution of Dyson- Schwinger Equation for Gluon Propagator in the Infrared Region (withV.Yu.Khmaladze, K.R.Natroshvili, L.G.Vachnadze), in Proc. of Workshop "IR behaviour in QCD" ,6-20 (1985).
  34. One- Loop Calculations in the Light-Like Gauge (with K.R.Natroshvili, V.Yu. Khmaladze), in Proc. of Workshop "IR Behaviour in QCD"117-136 (1985).
  35. Remark on Models for Quark Propagator. In Proc. of "IR Behaviour in QCD",83-86 (1985).
  36. Asymptotics of Pion’s Wave Function and Form Factor in Null-Plane Quantum Field Theory (withM.V.Margvelashvili). Proc. of TSU, v. 21, 99-110 (1986).
  37. Approximate Method for Solving of Salpeter Equation and Positronium Problem (with T.P.Nadareishvili). Proc. of TSU,v.22, 98-112 (1987).
  38. Gluon Propagator at Large Distances (with K.R.Natroshvili, V.Yu.Khmaladze), Proc. of Int.Seminar "QUARKS-86", 423-432, Singapore (1987).
  39. Total Gluon Propagator in the Light- Like Gauge and the Transversality Problem of Polarization Operator in Infrared Region, part1 (with V.Yu.Khmaladze, K.R.Natroshvili, L.G.Vachnadze), TMF,v. 80, 264-273 (1989).
  40. Quasipotential Equation and the Parton Description (withA.N.Kvinikhidze, A.N. Tavkhelidze). In Proc. of Int. Seminar "QUARKS-88", 3-10 (1988), Singapore.
  41. Legendre Condition and the Stability Problem of Classical Solitonic Solutions in Generalized Skyrme Model (with N.A.Kiknadze). TMF, v.83, 51-56 (1990).
  42. Gluon Propagator and Polarization Operator in Infrared Region (Summary of Results and Unsolved Problems)-(with V.Yu.Khmaladze, K.R.Natroshvili, L.G.Vachnadze), in Proc. of 2nd Workshop "IR problems in QCD",8-34 (1990).
  43. Effective Lagrangean in Gluodynamics Free of Kinematic Singularities (with V.Yu.Khmaladze, K.R.Natroshvili, K.Sh.Turashvili, L.G.Vachnadze), in Proc. of 2nd Workshop "IR Problems in QCD", 77-85 (1990).
  44. On the Axial Gauges in Quasipotential Approach (with G.M.Desimirov), in Proc. of 2nd Workshop "IR Problems in QCD", 186-193 (1990).
  45. Two-Loop Integrals in Light-Like Gauge (with V.Yu.Khmaladze, K.R.Natroshvili,
  46. K.Sh.Turashvili, L.G.Vachnadze), in Proc. of 2nd Workshop "IR Problems in QCD",240-253 (1990).
  47. Parton Picture in Covariant Quasipotential Approach (with A.N.Kvinikhidze). Paul Scherer Institute Proc., PSI-PR-90-42, Switzerland (1990).
  48. The gauge Invariance of the Fermion Pole Mass (with G.Sh.Japaridze, K.Sh.Turashvili). In Proc. of Int.Seminar "QUARKS-90",74-84, Singapore (1990).
  49. Discrete eigenvalues with Positive Binding Energies in Quantum Field Theory (with A.N.Tavkhelidze, L.G.Vachnadze), Preprint TMI-07, Tbilisi (1991).
  50. On perturbative Calculations of Physical Quantities in Gauge Theories, 1. The Covariant Gauge (with G.Sh.Japaridze, K.Sh.Turashvili), Preprint HEPI TSU, 01-92 (1992).
  51. The Generalization of LSZ Reduction Formalism in Axial Gauge (with G.Sh.Japaridze, K.Sh.Turashvili), Preprint HEPI TSU, 03-92 (1992).
  52. On gauge Invariance of the Z-Boson Mass (with J.Gegelia, G.Sh.Japaridze, A.Tkabladze, K.Sh.Turashvili), in Proc. of Int. Seminar "QUARKS-92", 391-402, World Scientific, Singapore, 1993.
  53. Stability Problem of Quantized Chiral Soliton in the Non-Linear Sigma Model (with N.A.Kiknadze). Preprint TSU HEPI 04-92, Tbilisi, 1992.
  54. The Physical Mass of a Fermion and the Prescription for the Axial Denominators (with G.Sh.Japaridze, K.Sh.Turashvili). In Proc. of XII Int. Workshop "Problems on High Energy Physics and Field Theory", Protvino-Serpukhov, YII-1990. Edit in Moscow, 1991, p.187-195.
  55. Singular Power-Like Asymptotics of Gluon Propagator in Infrared Region in the Landau Gauge (with N.Kiknadze, L.G.Vachnadze), Journal of Georgian Phys. Soc. A1, 61-70 (1994).
  56. Can We Avoid the Regularization Scheme Ambiguities in (2+1)-Dimensional Gauge Theories (with L.Baboukhadia, N.A.Kiknadze), Journal of Georgian Phys. Soc.A2, 166-173 (1994).
  57. Parity Preserving Pauli-Villars Regularization in (2+1)-Dimensional Gauge Models (with L.Baboukhadia, N.A.Kiknadze), Physics of Atomic Nuclei, v. 58, 1619-1621 (1995).
  58. Total Gluon Propagator in theLight-Like Gauge and the Transversality Problem of Polarization Operator in the Infrared Region, part 2. (with N.A.Kiknadze, L.G.Vachnadze, K.Sh.Turashvili), TMF, v.100, 14-24 (1994).
  59. Singular Power-Like infrared Asymptotic Behaviour of the Gluon Propagator in the Covariant Gauge (with N.A.Kiknadze, L.G.Vachnadze), TMF, v.102,34-39 (1995).
  60. Von Neumann-Wigner Type Potentials and the Wave Functions’ Asymptotics for Discrete Levels in Continuum (with N.A.Kiknadze), Journal of Physics A: Mathematical and General, v.29,3209-3212 (1996). 
  61. Bound States in Continuum induced by Relativity (with N.A.Kiknadze), Phys. Rev. A, December (1996).
  62. On Regularization Scheme and Gauge Choice Ambiguities in Topologically Massive Gauge Theories (with N.A.Kiknadze), HEP TH 9511135 and Phys. Rev. D, March (1997).

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