Abstract:
Quantum theory of relativistic string with fixed ends is constructed in the timelike
gauge. Gauge conditions are introduced in the reparametrization-invariant action
of the string. The theory has no tachyon states or constraints on the dimension of the
space-time. The constraints and gauge conditions are fulfilled in quantum theory only
for the matrix elements between physical state vectors. The string generates the static
interquark potential V(R)=√γ2R2+ε0 where ε0 is a free parameter determined in the experiment.
Citation:
V. V. Nesterenko, “Calculation of static interquark potential in a string model in a timelike gauge”, TMF, 71:2 (1987), 238–248; Theoret. and Math. Phys., 71:2 (1987), 504–511
\Bibitem{Nes87}
\by V.~V.~Nesterenko
\paper Calculation of static interquark potential in a~string model in a~timelike gauge
\jour TMF
\yr 1987
\vol 71
\issue 2
\pages 238--248
\mathnet{http://mi.mathnet.ru/tmf4935}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 71
\issue 2
\pages 504--511
\crossref{https://doi.org/10.1007/BF01028650}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987L510600007}
Linking options:
https://www.mathnet.ru/eng/tmf4935
https://www.mathnet.ru/eng/tmf/v71/i2/p238
This publication is cited in the following 5 articles:
G. S. Sharov, “Classification of rotational motions for the baryon model “triangle””, Theoret. and Math. Phys., 114:2 (1998), 220–234
G. Lambiase, V. V. Nesterenko, “Quark mass correction to the string potential”, Phys. Rev. D, 54:10 (1996), 6387
W. T. Chyla, “The hyperbolic potential of the heavy-quark interaction”, Nuov Cim A, 105:5 (1992), 619
B. M. Barbashov, A. M. Chervyakov, “Action at a distance and equations of motion of a system of two massive points connected by a relativistic string”, Theoret. and Math. Phys., 89:1 (1991), 1087–1098
V. V. Nesterenko, “On the radial motion of quarks bound by a string”, Z. Phys. C - Particles and Fields, 47:1 (1990), 111
Citation in format AMSBIB
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