Abstract
We present results of a computer analysis of euclidean solutions of the SU(2) lattice gauge theory Hamiltonian for constant fields. The accumulation of tunneling solutions in a certain region of phase space is investigated because it is expected to give a strong contribution to the path integral. Our analysis shows, that an infinite set of classical trajectories with finite action exists, and describes how they cluster.
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S.G. Matinyan, G.K. Savvidi, N.G. Ter-Arutyunyan-Savvidi: Zh. Eksp. Teor. Fiz. 80 (1981) 830; Sov. Phys. JETP 53 (1981) 421
B.V. Chirikov, D.L. Shepelyanskii: Pis'ma Zh. Eksp. Teor. Fiz. 34 (1981) 171; JETP Lett. 34 (1981) 163; E.S. Nikolaevskiį, L.N. Shur: Pis'ma Zh. Eksp. Teor. Fiz. 36 (1982) 176; JETP Lett. 36 (1982) 218; E.S. Nikolaevskiį, L.N. Shur: Zh. Eksp. Teor. Fiz. 85 (1983) 3; Sov. Phys. JETP 58 (1982) 1; G.K. Savvidy: Phys. Lett. 130B (1983) 303; G.K. Savvidy: Nucl. Phys. B246 (1984) 302
B. Simon: Ann. Phys. (N.Y.) 146 (1983) 209; G.K. Savvidy: Phys. Lett. 159B (1985) 325
B.V. Medvedev, Teor. Mat. Fiz. 60 (1984) 224; Theor. Math. Phys. 60 (1984) 782; C.C. Martens, R.L. Waterland, W.P. Reinhardt: J. Chem. Phys. 90 (1989) 355
A. Carnegie, I.C. Percival: J. Phys. A17 (1984) 801; S.-J. Chang: Phys. Rev. D29 (1984) 259; W.-H. Steeb, C.M. Villet, A. Kunick: J. Phys. A18 (1985) 3269; G. Sohos, T. Bountis, H. Polymilis, Nuovo Cimento B104 (1989) 339; P. Dahlqvist, G. Russberg: Phys. Rev. Lett. 65 (1990) 2837
M. Lüscher: Nucl. Phys. B219 (1983) 233
M. Lüscher, G. Münster: Nucl. Phys. B232 (1984) 445
P. van Baal, J. Koller: Ann. Phys. (N.Y.) 174 (1987) 299
J. Koller, P. van Baal: Nucl. Phys. B302 (1988) 1
P. van Baal: Phys. Lett. 224B (1989) 397; P. van Baal: Nucl. Phys. B (Proc. Suppl.) 17 (1990) 581
B. Berg, A. Billoire: Phys. Rev. D40 (1989) 550; C. Michael, G.A. Tickle, M.J. Teper: Phys. Lett. 207B (1988) 313; P. van Baal, A. Kronfeld; Nucl. Phys. B (Proc. Suppl.) 9 (1989) 227
J. Bartels, T.T. Wu: Phys. Rev. D37 (1988) 2307
J. Bartels, B. Raabè, T.T. Wu: Phys. Rev. D42 (1990) 1233
A.M. Polyakov: Nucl. Phys. B120 (1977) 429
S. Coleman: The uses of instantons. in: A. Zichichi (ed.). The whys of subnuclear physics, Proceedings Erice 1977, p. 805. New York: Plenum 1979
A.J. Lichtenberg, M.A. Lieberman: Regular and stochastic motion, Berlin, Heidelberg, New York: Springer 1983
G.H. Walker, J. Ford: Phys. Rev. 188 (1969) 416
M. Hénon, C. Heiles: Astron. J. 69 (1964) 73
M. Abramowitz, I.A. Stegun (eds.). Handbook of mathematical functions, 9th edition. New York: Dover 1970
L.D. Landau, E.M. Lifschitz: Mechanik, 11th edition, Chap. 10. Berlin: Akademie Verlag 1984
M. Berry: Semiclassical mechanics of regular and irregular motion, in: G. Iooss, R.H.G. Helleman, R. Stora (eds.), Chaotic behaviour of deterministic systems, Proceedings Les Houches 1981, p. 171, Amsterdam: North Holland 1983
M.V. Berry, N.L. Balazs, M. Tabor, A. Voros: Ann. Phys. (N.Y.) 122 (1979) 26
J.M. Greene, J.-S. Kim: Physica D24 (1987) 213
D.F. Escande: Phys. Rep. 121 (1985) 165
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Bartels, J., Brüning, O. & Raabe, B. Numerical analysis of tunneling paths in constant field SU(2) lattice gauge theory. Z. Phys. C - Particles and Fields 53, 277–286 (1992). https://doi.org/10.1007/BF01597565
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DOI: https://doi.org/10.1007/BF01597565