Literature Cited
C. Rebbi, Phys. Rep.,12C, 1 (1974); S. Mandelstam, Phys. Rep.,13C, 259 (1974); J. Scherk, Rev. Mod. Phys.,47, 123 (1975).
A. J. Hanson, T. Regge, and C. Teitelboim, Constrained Hamiltonian Systems, Accademia Nazionale dei Lincei, Rome (1976).
G. P. Pron'ko, A. V. Razumov, and L. D. Solov'ev, “Classical dynamics of a relativistic string,” Preprint 82-82 [in Russian], Institute of High Energy Physics, Serpukhov (1982); B. M. Barbashov and V. V. Nesterenko, Fiz. Elem. Chastits At. Yadra,9, 709 (1978).
H. Grosse and A. Martin, Phys. Rep.,60, 341 (1980); W. C. Haxton and L. Heller, “The heavy quark-antiquark potential in the MIT bag model,” Preprint LA-UR-80-855, University of California, Los Alamos, New Mexico 87545 (1980).
N. A. Chernikov and N. S. Shavokhina, Teor. Mat. Fiz.,42, 59 (1980).
J. L. Gervais, A. Jevicki, and B. Sakita, Phys. Rep.,23C, 281 (1976); A. V. Razumov and A. Yu. Taranov, Teor. Mat. Fiz.,52, 34 (1982).
P. Goddard, J. Goldstone, C. Rebbi, and C. B. Thorn, Nucl. Phys. B,56, 109 (1973); Teor. Mat. Fiz.,49, 164 (1981).
M. Lüsher, K. Symanzik, and P. Weisz, Nucl. Phys. B,173, 365 (1980); M. Lüsher, “Summetry breaking aspects of the roughening transition in gauge theories,” Preprint DESY 80/87, DESY, Hamburg (1980).
O. Alvares, Phys. Rev. D,24, 440 (1981).
T. Filk, “Regularization procedure for string functionals,” Preprint Bonn-HE-81-16, Bonn University, Bonn (1981).
K. Dietz and T. Filk, “On the renormalization of string functionals,” Preprint Bonn-HE-82-21, Bonn University, Bonn (1982).
G. P. Pron'ko and A. V. Razumov, “Quantum theory of a restricted class of motions of a relativistic string,” Preprint 82-173 [in Russian], Institute of High Energy Physics, Serpukhov (1982).
P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science Monographs Series No. 2, Yeshiva University, New York (1964).
A. P. Isaev, Pis'ma Zh. Eksp. Teor. Fiz.,33, 357 (1981).
G. P. Pron'ko, A. V. Razumov, and A. Yu. Taranov, “The method of collective coordinates in the theory of a relativistic string,“ Preprint 81-101 [in Russian], Institute of High Energy Physics, Serpukhov (1981).
A. P. Isaev, Teor. Mat. Fiz.,54, 209 (1983); V. I. Borodulin and A. P. Isaev, Phys. Lett. B, 117, 69 (1982).
H. B. G. Casimir, Proc. K. Ned. Akad. Wet.,51, 793 (1948); B. S. DeWitt, Phys. Rep.,19C, 295 (1975).
J. F. Arvis, Preprint LPTENS 83/6, Paris (1983).
Additional information
Institute of High Energy Physics, Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 58, No. 3, pp. 377–387, March, 1984.
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Pozdeev, M.Y., Pron'ko, G.P. & Razumov, A.V. Relativistic string with fixed end points. Theor Math Phys 58, 246–254 (1984). https://doi.org/10.1007/BF01018047
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DOI: https://doi.org/10.1007/BF01018047