Abstract:
Classical and quantum theory of relativistic string with point masses at the ends
is considered. Solutions of dynamic equations are found for a class of motions, for
which the parameter of time evolution τ is proportional to the proper time of each of
particles at the ends of the string. In this case solution of the linear boundary problem
is expressed in terms of the Fourier series. Restrictions on the Fourier amplitudes
which follow from the orthogonal gauge conditions, are very different from the conditions
for free string. The mass, momentum and angular momentum of the system
are evaluated.
Citation:
B. M. Barbashov, V. V. Nesterenko, “Relativistic string with massive ends”, TMF, 31:3 (1977), 291–299; Theoret. and Math. Phys., 31:3 (1977), 465–470
This publication is cited in the following 16 articles:
Arkady A. Tseytlin, “Comments on open string with 'massive' boundary term”, Proc. R. Soc. A., 476:2236 (2020)
Jiao-Kai Chen, “Regge trajectories for heavy quarkonia from the quadratic form of the spinless Salpeter-type equation”, Eur. Phys. J. C, 78:3 (2018)
Amit Sever, Alexander Zhiboedov, “On fine structure of strings: the universal correction to the Veneziano amplitude”, J. High Energ. Phys., 2018:6 (2018)
G. S. Sharov, “Perturbed States of a Rotating Relativistic String”, Theoret. and Math. Phys., 140:2 (2004), 1109–1120
Sharov, GS, “Instability of the Y string baryon model within classical dynamics”, Physics of Atomic Nuclei, 65:5 (2002), 906
Inopin, A, “Hadronic Regge trajectories: Problems and approaches”, Physical Review D, 6305:5 (2001), 054023
Inopin A., Sharov G.S., “Hadronic Regge trajectories: Problems and approaches”, Physical Review D, 63:5 (2001), 054023
Sharov, GS, “Quasirotational motions and stability problem in the dynamics of string hadron models”, Physical Review D, 6209:9 (2000), 094015
Sharov G.S., “Quasirotational motions and stability problem in the dynamics of string hadron models”, Physical Review D, 62:9 (2000), 094015
G. S. Sharov, “Analogs of Fourier series for a relativistic string model with massive ends”, Theoret. and Math. Phys., 107:1 (1996), 487–498
V. P. Petrov, G. S. Sharov, “Classification of motions of a relativistic string with massive ends with linearizable boundary conditions”, Theoret. and Math. Phys., 109:2 (1996), 1388–1399
G. S. Sharov, “Determination of the world surface of a relativistic string from the trajectory of a massive end”, Theoret. and Math. Phys., 102:1 (1995), 109–115
V. V. Nesterenko, “Is there a tachyon in the Nambu-Goto string with massive ends?”, Z. Phys. C - Particles and Fields, 51:4 (1991), 643
Robert D. Pisarski, John D. Stack, “Spin dependent potential for heavy fermions of the ends of a string”, Nuclear Physics B, 286 (1987), 657
A. A. Zheltukhin, “Classical relativistic string as a two-dimensional $SO(1,1)\times SO(2)$ gauge model”, Theoret. and Math. Phys., 52:1 (1982), 666–675
B. M. Barbashov, A. L. Koshkarov, “Some solutions of boundary conditions for relativistic string with massive ends”, Lett Math Phys, 3:1 (1979), 39
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