Abstract
U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are initialized by quantum Monte Carlo simulations. We observe a strong relation between the sizes of the monopole density and the Lyapunov exponent. Evidence is found that monopole fields stay chaotic in the continuum whereas the photon fields are regular.
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References
J.D. Stack and R.J. Wensley, Nucl. Phys. B371 (1992) 597.
T. Suzuki, S. Kitahara, T. Okude, F. Shoji, K. Moroda, and O. Miyamura, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 374.
T. Bielefeld, S. Hands, J.D. Stack, and R.J. Wensley, Phys. Lett. B416 (1998) 150.
B.A. Berg, U.M. Heller, H. Markum, R. Pullirsch, and W. Sakuler, Phys. Lett. B514 (2001) 97; Nucl. Phys. B (Proc. Suppl.) 106 (2002) 592.
T.S. Birö, S.G. Matinyan, and B. Müller: Chaos and Gauge Field Theory, World Scientific, Singapore, 1995.
T.S. Biró, Int. J. Mod. Phys. C6 (1995) 327.
T.S. Biró, M. Feurstein, and H. Markum, APH Heavy Ion Physics 7 (1998) 235; T.S. Biró, N. Hörmann, H. Markum, and R. Pullirsch, Nucl. Phys. B (Proc. Suppl.) 86 (2000) 403; H. Markum, R. Pullirsch, and W. Sakuler, hep-lat/0201001.
L. Casetti, R. Gatto, and M. Pettini, J. Phys. A32 (1999) 3055; H.B. Nielsen, H.H. Rugh, and S.E. Rugh, ICHEP96 1603, hep-th/9611128; B. Müller, chao-dyn/9607001; H.B. Nielsen, H.H. Rugh, and S.E. Rugh, chao-dyn/9605013.
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Markum, H., Pullirsch, R., Sakuler, W. (2002). Monopoles and Lyapunov Exponents in U(1) Lattice Gauge Theory. In: Greensite, J., Olejník, Š. (eds) Confinement, Topology, and Other Non-Perturbative Aspects of QCD. NATO Science Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0502-9_28
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DOI: https://doi.org/10.1007/978-94-010-0502-9_28
Publisher Name: Springer, Dordrecht
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