Nambu-Goto Strings viaWeierstrass Representation
DOI:
https://doi.org/10.24297/jap.v13i6.6245Abstract
A description of string model of gauge theory are related to minimal surfaces. notations of minimal surface and related mean and Gauss curvature discussed. The Weierstrass representation for a surface conformally which immersed in R used to represent Nambu- Goto action, action of Nambu Goto is calculated usingWeierstrass representation which can be used to calculate the Partion Function and potential, then a non-perturbative solution for action is aimed and fulfilled and a consequences of that are investigated and its mathematical and physical properties are discussed.
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References
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9. M. Caselle, F. Gliozzi, U. Magnea and S. Vinti, “Width of long color flux tubes in lattice gauge systems,†Nucl. Phys. B 460, 397 (1996) doi:10.1016/0550-3213(95)00639-7 [hep-lat/9510019].
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11. B. G. Konopelchenko and G. Landolfi, “Quantum eects for extrinsic geometry of strings via the generalized Weierstrass representation,â€
Phys. Lett. B 444, 299 (1998) doi:10.1016/S0370-2693(98)01412-9 [hep-th/9810209].
12. Elsa Abbena, Simon Salamon, Alfred Gray, “Modern Dierential Geometry of Curves and Surfaces with Mathematica,â€.
2. Bondi H. Negative mass in General Relativity. Review of Modern Physics, 1957, v. 29 (3), 423–428.
3. Pezzaglia W. Physical applications of generalized Cliord Calculus: Papatetrou equations and metamorphic curvature. arXiv: grqc/9710027.
4. Lambiase G., Papini G., Scarpetta G. Maximal acceleration corrections to the Lamb shift of one electron atoms. Nuovo Cimento, v. B112, 1997, 1003. arXiv: hep-th/9702130.
5. A. M. Polyakov, “Fine Structure of Strings,†Nucl. Phys. B 268 (1986) 406. doi:10.1016/0550-3213(86)90162-8
6. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, “Fractal Structure of 2D Quantum Gravity,†Mod. Phys. Lett. A 3, 819 (1988). doi:10.1142/S0217732388000982
7. R. Parthasarathy and K. S. Viswanathan, “A Realization of W gravities in the conformal gauge through generalized Gauss maps,†Int. J. Mod. Phys. A 7, 317 (1992). doi:10.1142/S0217751X92000193
8. M. Caselle, R. Fiore, F. Gliozzi, P. Guaita and S. Vinti, “On the behavior of spatial Wilson loops in the high temperature phase of LGT,†Nucl. Phys. B 422, 397 (1994) doi:10.1016/0550-3213(94)00147-2 [hep-lat/9312056].
9. M. Caselle, F. Gliozzi, U. Magnea and S. Vinti, “Width of long color flux tubes in lattice gauge systems,†Nucl. Phys. B 460, 397 (1996) doi:10.1016/0550-3213(95)00639-7 [hep-lat/9510019].
10. M. Luscher and P. Weisz, “Quark confinement and the bosonic string,†JHEP 0207, 049 (2002) doi:10.1088/1126-6708/2002/07/049 [heplat/0207003].
11. B. G. Konopelchenko and G. Landolfi, “Quantum eects for extrinsic geometry of strings via the generalized Weierstrass representation,â€
Phys. Lett. B 444, 299 (1998) doi:10.1016/S0370-2693(98)01412-9 [hep-th/9810209].
12. Elsa Abbena, Simon Salamon, Alfred Gray, “Modern Dierential Geometry of Curves and Surfaces with Mathematica,â€.
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Published
2017-07-19
How to Cite
kotb, M. (2017). Nambu-Goto Strings viaWeierstrass Representation. JOURNAL OF ADVANCES IN PHYSICS, 13(6), 4985–4992. https://doi.org/10.24297/jap.v13i6.6245
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