List of Publications
Articles in Books, Journals, Proceedings
- Towards an algorithmisation of the Dirac constraint formalism
V. Gerdt, A. Khvedelidze, Yu. Palii, in " Global Integrability of Field Theories", Proceedings of GIFT 2006, Eds., J.Calmet, W.M.Seiler, R.W.Tucker, Cocroft Institute, Daresbury (UK), November 1-3, 2006, 135-154 (2006)
- Magnetic monopoles in 4D: A perturbative calculation,
A. Khvedelidze, A. Kovner and D. McMullan, JHEP 01 (2006) 145
- Approaching continuum monopoles,
Alex Kovner, Arsen Khvedelidze, and David McMullan, AIP Conference Proceedings, "Particles and Nuclei": XVII International Conference on Particles and Nuclei, 842 (2006) 222-224
- On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2),
V. Gerdt, R. Horan, A. Khvedelidze, M. Lavelle, D. McMullan and
Y. Palii,
J. Math. Phys. 47 112902-26 (2006)
- The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions,
A. Khvedelidze, A. Kovner and D. McMullan, JHEP 0407 (2004) 003
- On the Hamiltonian formulation of gauge theories in terms of physical variables,
A. M. Khvedelidze, J. Math. Sci. 119 (2004) 513.
- 7. Unconstrained SU(2) Yang-Mills theory with topological term in the long-wavelength approximation,
A.M.Khvedelidze, D.M.Mladenov, H.P.Pavel and G.Ropke, Phys. Rev. D 67 (2003) 105013
- On application of involutivity analysis of differential equations to constrained dynamical systems,
V. Gerdt, A. Khvedelidze and D. Mladenov, Proceedings of Seminar Symmetries and Integrable Systems, Dubna, Russia, 2002 arXiv:hep-th/0311174.
- Light-cone SU(2) Yang-Mills theory and conformal mechanics,
V. P. Gerdt, A. M. Khvedelidze and D. M. Mladenov, Electronic archive hep-th/0210022.
- Bianchi type I cosmology and Euler-Calogero-Sutherland model
A. M. Khvedelidze and D. M. Mladenov, Phys. Rev. D 66, 123504 (2002)
- Charges, monopoles and gauge invariance,
R.Horan, A Khvedelidze, M.Lavelle, D.McMullan, Proceedings of the NATO Advanced Research Workshop on Confinement, Topology, and other Non-Perturbative Aspects of QCD in Stara Lesna, Slovakia, January 21-27, 2002. arXiv:hep-th/0204258
- Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics,
V.P.Gerdt, A.M.Khvedelidze, D.M.Mladenov, Proceedings of International Workshop "Computer Algebra and its Applications to Physics" CAAP-2001. Dubna, E5-11-2001-279, 83-92 (2002)
- On unconstrained SU(2) gluodynamics with theta angle
A.M. Khvedelidze, D.M. Mladenov, H.-P. Pavel, and G. Ropke, Eur. Phys. J. C 24 (2002) 137
- Generalized Calogero-Sutherland models from geodesic motion on GL(n,R) group manifold,
A.M.Khvedelidze and D.M.Mladenov, Phys. Lett. A 299 (2002) 522
- Generalized Hamiltonian dynamics of Friedmann cosmology with scalar and spinor matter source fields
A.M.Khvedelidze and Y.G. Palii, Class.Quantum Gravity 18 1767-1785 (2001).
- 16. Classical mechanics on GL(n,R) group and Euler-Calogero-Sutherland model,
A.M.Khvedelidze and D.M.Mladenov, Proceedings of the XXIII International Colloquium on Group Theoretical Methods in Physics Dubna (2000), Yad.Fiz. 65, 1-6 (2002).
- On cosmological perturbations in closed FRW model with scalar field and false vacuum decay,
A.Khvedelidze, G.Lavrelashvili, T.Tanaka, Phys.Rev. D 62 083501 (2000).
- Euler-Calogero-Moser system from SU(2) Yang-Mills theory
A.M. Khvedelidze and D.M. Mladenov, Phys. Rev. D 62, 125016 (2000).
- On the Groundstate of Yang-Mills Quantum Mechanics
A.Khvedelidze and H.-P.Pavel, Phys.Lett. A 267, 96, (2000)
- Unconstrained Hamiltonian Formulation of SU(2) Gluody-namics
A.Khvedelidze and H.-P.Pavel, Phys.Rev. D 59, 105017, (1999).
- Reduction in systems with local symmetries
Gogilidze S.A., Khvedelidze A. M., Pervushin V.N. Fiz.Elem. Chastits. At. Yadra. 30, 160-209 (1999) (Eng. transl. Physics of Particles and Nuclei, 30, 66-86 (1999)
- SU(2) Yang-Mills mechanics and D3 Euler-Calogero-Moser model with inverse square potential
A.Khvedelidze and D.Mladenov, Proceedings of Seminar "Symmetries and Integrable Models" Ed. A.N.Sissakian, Dubna, 113-125 (1999).
- Negative Mode about the Coleman-De Lucia bounce,
A.Khvedelidze and G.Lavrelashvili, Proceedings of Seminar "Physical Variables in Gauge Theory" Ed. A.M.Khvedelidze, et.al., Dubna 1999, 61-69 (1999).
- 24. On rational Euler-Calogero-Moser and Yang-Mills mechanics
A.Khvedelidze, D.Mladenov, Proceedings of Seminar "Physical Variables in Gauge Theory" Ed. A.M.Khvedelidze, et.al., Dubna 1999, 148-158 (1999).
- Nonperturbative Reduction of Yang-Mills Theory and Low Energy Effective Action
A.Khvedelidze, H.-P.Pavel, Proceedings of Inernational Seminar in Physics and Mathematics held in Tbilisi 5-18 September, (1998) Mathematical methods in modern theoretical physics, 205-216 (1999).
- Unconstrained SU(2) Yang-Mills Quantum Mechanics with Theta Angle
A.Khvedelidze, H.-P.Pavel, G.Ropke, Phys.Rev. D 61, 025017 (1999).
- On the Infrared Limit of Unconstrained SU(2) Yang-Mills Theory
A.Khvedelidze, H.-P.Pavel, MPG-VT-UR-158-98, Electronic archive hep-th/9808089.
- Hamiltonian Reduction of SU(2) Yang-Mills Theory
A.Khvedelidze, H.-P.Pavel, MPG-VT-UR-157-98, Electronic archive hep-th/9808082.
- Hamiltoniam Reduction of SU(2) Dirac-Yang-Mills Mechanics
Gogilidze S.A., Khvedelidze A.M., Mladenov D.M., Pavel H-P., Phys.Rev. D 57, 7488-7500, (1998).
- Two parameters solution for Bianchi I cosmoligical model,
Gogilidze S.A., Khvedelidze A.M., Mladenov D.M Proceedings of the Conference "Gravitational Energy and Gravitational waves" Dubna , JINR (1997)
- Hamiltonian Analysis of Bianchi IX Cosmology.
Gogilidze S.A., Khvedelidze A.M., Mladenov D.M., Pervushin V.N., Gravitation and Cosmology, 3 85 (1997)
- Description of Friedmann Observables in Quantum Universe.,
Khvedelidze A.M., Palii Y.G., Papoyan V.V., Pervushin V.N. Phys.Lett. 402, 263 (1997)
- On generalized dynamics of Bianchi IX cosmology,
S.Gogilidze, A.Khvedelidze, D.Mladenov, V.Pervushin, Proceedings of the VIII Marcel Grossmann Meeting, Jine 22-27 1997, The Hebrew University, Jerusalem, Israel.
- Dirac and Friedmann Observables in Quantum Universe with Radiation.,
Gogilidze S.A., Khvedelidze A.M., Papoyan V.V., Pervushin V.N., Gravitation and Cosmology, 3 17-23 (1997)
- On Abelization of First Class Constraints,
Gogilidze S.A., Khvedelidze A. M., Pervushin V.N. J. Math. Phys. B 37, 1760-1771, (1996).
- On Admissible Gauges For Constrained Systems,
Gogilidze S.A., Khvedelidze A. M., Pervushin V.N. Phys.Rev. D 53, 2160-2172,(1996).
- On Hamiltonian reduction of the Bianchi cosmology,
S.A. Gogilidze, A.M. Khvedelidze, D.M. Mladenov, Pervushin V.N. Proceedings of International Workshop "Selected Topics of Theoretical and Modern Mathematical Physics" (Tbilisi, Georgia 22-28 sept 1996)
- The Time Surface Term in Quantum Gravity,
V.Pervushin, V.Papoyan, S.Gogilidze, A.Khvedelidze, Yu.Palii, V.Smirichinski, Phys.Lett.B.365, 35-40, (1996).
- Abelization of momentum constraints in Bianchi cosmological models,
S.A. Gogilidze, A.M. Khvedelidze, D.M. Mladenov, Pervushin V.N. Proceeding 10th International Conference on Problems of Quantum Field Theory, JINR, E2-96-369, (1996).
- Gaugeless Reduction of Gravity and Evolution of Universe,
A.M.Khvedelidze, V.V.Papoyan, V.N.Pervushin, Phys.Rev. D 51, N10, 5654 - 5663 (1995)
- Covariant Gauges For Constrained Systems,
Gogilidze S.A., Khvedelidze A. M., Pervushin V.N. Phys.Lett.B. 363, 76-78 (1995).
- Quantum Evolution of the Universe: A Gaugeless Approach,
A.M.Khvedelidze, V.V.Papoyan, V.N.Pervushin. Gravitation and Cosmology vol.1 N2, 81 -87, (1995)
- Gaugeless Quantization of Constrained Systems,
Pervushin V.N., Khvedelidze A. M., in D.I.Blokhintsev memorial volume, D2 - 94- 390, 104- 132 Dubna (1995).
- Gaugeless Reduction of Gravity and Evolution of Universe,
A.M.Khvedelidze, V.V.Papoyan, V.N.Pervushin. in "Problems on High Energy Physics and Field Theory " Proc. of XVII Workshop Dedicated to the 140 Birth Aniversary of Henri Poincare " Protvino, June 27- July 1 1994. ed.A.P.Samokhin, G.L.Rcheulishvili p. 140-155 (1995)
- Zero Modes of Gauss' Constraint in Gaugeless Reduction of Yang-Mills Theory ,
A.M.Khvedelidze, V.N.Pervushin. Helv.Phys.Acta 67, N6, 610 - 625 (1994)
- Gaugeless dynamics of nonlinear plane wave in gravity,
A.M. Khvedelidze, S.Han.Nguyen, Pervushin V.N. Proceeding of Seminar Finite dimensional Integrable Systems, JINR, Dubna 94-97, (1994).
- Zero Modes of First-Class Secondary Constraints in Gauge Theories,
A.Khvedelidze, V.N.Pervushin, JINR Preprint E2-93-493, Dubna, (1993);
- To the Pair-Interaction Approximation in Equations of the Quantum Field Theory for a Four-Body System,
A.Khvedelidze, A.Kvinikhidze, Teor. Mat. Fiz. 90 (1992),95-112;
- Covariant Evolution Operator ,
A.Khvedelidze, V.V.Sanadze, Proc. of International Seminar 'SIMI'91" (Borjomi, USSR,1991), World Scientific, 1992,;
- Bound State Wave Functions at Rest in Describing Deep-Inelastic Scatterting,
A.Khvedelidze, A.Kvinikhidze, Nucl.Physics, A523, (1991), 597-613;
- To the Pair-Interaction Approximation in Equations of the Quantum Field Theory for a Four- Particle System,
A.Khvedelidze, A.Kvinikhidze, Proc. of International Seminar "Quarks'90" (Telavi, USSR,1990), ed. V.A.Matveev, V.A.Rubakov, A.N.Tavkhelidze and P.G.Tinykov, World Scientific, 1991, 207-217;
- Are Quarks Nonrelativistic in the Nucleon? ,
A.Khvedelidze, A.Kvinikhidze, G.Lavrelashvili and M.Serebryakov, Nuovo. Cimento. 103 (1990), 1669-1674;
- Neutron to Proton Structure Functions Ratio F2en/F2 at xBj -> 1 ,
A.Kvinikhidze, A.Khvedelidze, Yad.Fiz. 59 (1989) 1165-1167;
- Deep—Inelastic Form Factors and a Wave Function of Nucleon at Rest
A.Khvedelidze, A.Kvinikhidze , Proceedings of International Seminar "Quarks'88" (Tbilisi, USSR 1988), ed. A.N.Tavkhelidze V.A.Matveev, S.A.Larin, and S.Yu.Khlebnikov, World Scientific, 1989, 248-255;
- Relativistic Form Factors in Terms of Bound State Wave Function at Rest,
A.Khvedelidze, Ph.D. Thesis, JINR 2-89-524, Dubna, (1989);
- On Expansion of the Boost Operator Over the Coupling Constant Powers
A.Kvinikhidze, A.Khvedelidze, Teor.Mat Fiz.78 (1989) 357-367;
- Hamilton-Dirac Method and Evolution Operator in Interaction Representation ,
A.Khvedelidze, V.V.Sanadze, JINR Preprint E2-88-768, Dubna (1988);
- Description of Deep—Inelastic Processes in Terms of the Rest Frame Wave Functions of Composites ,
A.Kvinikhidze, A.Sissakian, A.Khvedelidze, Yad.Fiz. 47 (1988), 1475-1483;
- Relativistic Form Factors in Terms of Wave Functions at Rest,
A.Kvinikhidze, B.Magradze, A.Khvedelidze, Teor.Mat.Fiz. 78 (1987) 227-233;
- Deep—Inelastic Scattering in the Formalism with Wave functions of Bound State at Rest,
A.Kvinikhidze, A.Sissakian, A.Khvedelidze, Proc.of VIII Workshop "Problems of Quantum Field Theory, (Alusta, USSR, 1987), Dubna,1988, 239-245; (in Russian)
- Covariant Schrodinger Equation in Composite Models of Quantum Field Theory,
A.Kvinikhidze, A.Khvedelidze, Proc. of Symposium "Problems of Mathematical Physics" (Tbilisi, 1987) Tbilisi State University Press, 1988, v.1, 262-268; (in Russian)
- Deep-Inelastic Scattering in the Formalism with the Wave Functions of Composite System at Rest, A.Kvinikhidze, A.Sissakian, A. Khvedelidze, JINR Preprint E2-87-543, Dubna, (1987);
- Covariant Evolution Operator in Composite Models of Quantum Field Theory,
A.Kvinikhidze, V.Matveev, A.Khvedelidze, Teor.Mat.Fiz. 72 (1987) 45-57;
- On Representation of Symmetry Group Transformation Operators in the Interaction Picture,
G.Jorjadze, A.Kvinikhidze, A.Khvedelidze, Teor.Mat.Fiz. 73 (1987) 311-315;
- Large Angle Scattering for Nonlocal Quasipotentials ,
A.Kvinikhidze, A.Khvedelidze, Teor.Mat.Fiz. 50 (1982) 397-401.
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