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Publications in Math-Net.Ru |
Citations |
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2017 |
| 1. |
M. Yu. Malyshev, E. V. Prokhvatilov, R. A. Zubov, V. A. Franke, “Construction of a perturbatively correct light-front Hamiltonian for a $(2+1)$-dimensional gauge theory”, TMF, 190:3 (2017), 479–493    ; Theoret. and Math. Phys., 190:3 (2017), 411–423   |
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2015 |
| 2. |
M. Yu. Malyshev, S. A. Paston, E. V. Prokhvatilov, R. A. Zubov, V. A. Franke, “Pauli–Villars regularization and the light-front Hamiltonian in $(2+1)$-dimensional Yang–Mills theory”, TMF, 184:3 (2015), 487–498 ; Theoret. and Math. Phys., 184:3 (2015), 1314–1323 |
5
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2014 |
| 3. |
V. A. Franke, V. Tcendrovskii, “Alternative descriptions of physical systems based on perturbation theory”, TMF, 181:2 (2014), 322–336 ; Theoret. and Math. Phys., 181:2 (2014), 1405–1417 |
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2007 |
| 4. |
S. A. Paston, V. A. Franke, “Canonical formulation of the embedded theory of gravity equivalent to
Einstein's general relativity”, TMF, 153:2 (2007), 271–288  ; Theoret. and Math. Phys., 153:2 (2007), 1582–1596 |
44
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2006 |
| 5. |
V. A. Franke, “Different canonical formulations of Einstein's theory of gravity”, TMF, 148:1 (2006), 143–160 ; Theoret. and Math. Phys., 148:1 (2006), 995–1010 |
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| 6. |
E. M. Ilgenfriz, S. A. Paston, H. J. Pirner, E. V. Prokhvatilov, V. A. Franke, “Quantum fields on the light front, formulation in coordinates
close to the light front, lattice approximation$^1$”, TMF, 148:1 (2006), 89–101 ; Theoret. and Math. Phys., 148:1 (2006), 948–959 |
12
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2004 |
| 7. |
S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Gauge-Invariant Regularization of Quantum Field Theory on the Light Front”, TMF, 139:3 (2004), 429–448 ; Theoret. and Math. Phys., 139:3 (2004), 807–822 |
1
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2003 |
| 8. |
S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Ultraviolet Finiteness of Chiral Perturbation Theory in Two-Dimensional Quantum Electrodynamics”, TMF, 136:1 (2003), 69–76 ; Theoret. and Math. Phys., 136:1 (2003), 951–957 |
2
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2002 |
| 9. |
S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach”, TMF, 131:1 (2002), 84–97 ; Theoret. and Math. Phys., 131:1 (2002), 516–526 |
12
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1999 |
| 10. |
S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Constructing the light-front QCD Hamiltonian”, TMF, 120:3 (1999), 417–437 ; Theoret. and Math. Phys., 120:3 (1999), 1164–1181 |
39
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1997 |
| 11. |
S. A. Paston, V. A. Franke, “Comparision of quantum field perturbation theory on the light-front with the one in Lorentz coordinates”, TMF, 112:3 (1997), 399–416 ; Theoret. and Math. Phys., 112:3 (1997), 1117–1130 |
32
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1984 |
| 12. |
S. B. Pereslegin, V. A. Franke, “Hamiltonian structure of the nonlinear sigma model in light front coordinates”, TMF, 59:1 (1984), 70–79 ; Theoret. and Math. Phys., 59:1 (1984), 365–372 |
5
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1983 |
| 13. |
R. G. Ismagilov, V. A. Franke, “Anomalies in the two-dimensional $\sigma$ model with fermions”, TMF, 55:3 (1983), 401–406 ; Theoret. and Math. Phys., 55:3 (1983), 580–584 |
3
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1982 |
| 14. |
R. G. Ismagilov, V. A. Franke, “Fluctuations around a meron solution in euclidean Yang–Mills theory”, TMF, 52:2 (1982), 229–236 ; Theoret. and Math. Phys., 52:2 (1982), 767–772 |
1
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| 15. |
M. A. Semenov-Tian-Shansky, V. A. Franke, “Variational principle for the Lorentz gauge condition and nonperturbative bounds on the functional integration domain in nonabelian gauge theories”, Zap. Nauchn. Sem. LOMI, 120 (1982), 159–165 |
1
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1977 |
| 16. |
E. V. Prokhvatilov, V. A. Franke, “Stability of string type solutions in classical gauge field theories”, TMF, 31:3 (1977), 300–307 ; Theoret. and Math. Phys., 31:3 (1977), 471–475 |
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1976 |
| 17. |
V. A. Franke, “On the general form of the dynamical transformation of density matrices”, TMF, 27:2 (1976), 172–183 ; Theoret. and Math. Phys., 27:2 (1976), 406–413 |
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