Deterministic chaos in spatially homogeneous model of Abelian Higgs theory

Kawabe, T.

doi:10.1016/0370-2693(94)01446-J

Deterministic chaos in spatially homogeneous model of Abelian Higgs theory

T. Kawabe
(
- Kyushu U.
)

1995

5 pages

Published in:

Phys.Lett.B 343 (1995) 254-258

DOI:

10.1016/0370-2693(94)01446-J

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Abstract: (Elsevier)

The chaotic properties in the Abelian-Higgs theory are numerically studied in the limit of spatially homogeneous fields. Based upon the analyses on the distribution of the Lyapunov characteristic exponents, we find that this dynamical system shows the transition from order to chaos within a certain range of the coupling constant and energy, whose property is different from the order-to-chaos transition found in the topological solutions of the SU(2) Yang-Mills-Higgs theories. It is also pointed out that the onset of chaos can be analytically described by the instability argument of the dynamical systems.

Higgs model: abelian
chaos
numerical calculations

References(21)

Figures(0)

[1]

S.G. Matinyan
,
E.B. Prokhorenko
,
G.K. Savvidy

- Pisma Zh.Eksp.Teor.Fiz. 44 (1986) 109

[1]

Stochasticity of Time Dependent Spherically Symmetric Solutions of {Yang-Mills} Equations

- JETP Lett. 44 (1986) 138

[1]

Nonintegrability of Time Dependent Spherically Symmetric {Yang-Mills} Equations

- Nucl.Phys.B 298 (1988) 414-428
•
DOI:
- 10.1016/0550-3213(88)90273-8

[1]

Onset of chaos in time dependent spherically symmetric SU(2) Yang-Mills theory

T. Kawabe
(
- Kyushu Inst. of Design
)
,
S. Ohta
(
- Kyushu U.
)

- Phys.Rev.D 41 (1990) 1983-1988
•
DOI:
- 10.1103/PhysRevD.41.1983

[2]

Order to chaos transition in SU(2) Yang-Mills Higgs theory

Tetsuji Kawabe
(
- Kyushu Inst. of Design
)
,
Shonosuke Ohta
(
- Kyushu U.
)

- Phys.Rev.D 44 (1991) 1274-1279
•
DOI:
- 10.1103/PhysRevD.44.1274

[3]

Time Evolution of 't Hooft-polyakov Monopole Fields. (In Russian)

- Sov.J.Nucl.Phys. 50 (1989) 178-180,
- Yad.Fiz. 50 (1989) 284-287

[3]

S.G. Matinyan
,
E.B. Prokhorenko
,
G.K. Savvidy

- Sov.J.Nucl.Phys. 50 (1989) 1781

[3]

Chaotic behavior and order to chaos transition of t'Hooft-Polyakov monopoles

M.P. Joy
(
- Cochin U.
)
,
M. Sabir
(
- Cochin U.
)

- J.Phys.A 25 (1992) 3721-3728
•
DOI:
- 10.1088/0305-4470/25/13/020

[4]

Onset of chaos in SU(2) Yang-Mills Higgs theory with monopole

Tetsuji Kawabe
(
- Kyushu Inst. of Design
)

- Phys.Lett.B 274 (1992) 399-403
•
DOI:
- 10.1016/0370-2693(92)92005-2

[5]

Chaotic behavior in sphaleron solution

T. Kawabe
(
- Kyushu U.
)

- J.Phys.A 26 (1993) L1131-L1137
•
DOI:
- 10.1088/0305-4470/26/22/001

[6]

Onset of chaos in Yang-Mills Higgs systems

T. Kawabe
(
- Kyushu U.
)
,
S. Ohta
(
- Kyushu U.
)

- Phys.Lett.B 334 (1994) 127-131
•
DOI:
- 10.1016/0370-2693(94)90600-9

[7]

B. Dey
,
C.N. Kumar
,
A. Sen

- Int.J.M.Phys.A 8 (1993) 1755

[8]

Chaotic behavior in Chern-Simons Higgs systems

Bindu A. Bambah
(
- Hyderabad U.
)
,
S. Lakshmibala
(
- Indian Inst. Tech., Madras
)
,
C. Mukku
(
- Hyderabad U.
)
,
M.S. Sriram
(
- Madras U.
)

- Phys.Rev.D 47 (1993) 4677-4687
•
DOI:
- 10.1103/PhysRevD.47.4677

[9]

Vortex Line Models for Dual Strings

Holger Bech Nielsen
(
- Bohr Inst.
)
,
P. Olesen
(
- Bohr Inst.
)

- Nucl.Phys.B 61 (1973) 45-61,
•
DOI:
- 10.1016/0550-3213(73)90350-7

[10]

A Classical Vortex Solution of the Abelian Higgs Model

- Phys.Rev.D 14 (1976) 1100-1106
•
DOI:
- 10.1103/PhysRevD.14.1100

[11]

Regular and Stochastic Motion

A.J. Lichtenberg
,
M.A. Lieberman

[12]

A. Wolf
,
J.B. Swift
,
H.L. Swinney
,
J.A. Vastano

- Physica D 16 (1985) 285

[13]

M. Toda

- Phys.Lett.A 48 (1974) 335

[14]

Stability of electroweak strings

M. James
(
- Cambridge U.
)
,
L. Perivolaropoulos
(
- Harvard-Smithsonian Ctr. Astrophys.
)
,
T. Vachaspati
(
- Tufts U.
)

- Phys.Rev.D 46 (1992) R5232-R5235
•
DOI:
- 10.1103/PhysRevD.46.R5232

[15]

V.L. Ginzburg

- Physica C 153-155 (1988) 1617

[16]

Interaction Energy of Superconducting Vortices

Laurence Jacobs
(
- Brookhaven
)
,
Claudio Rebbi
(
- Brookhaven
)

- Phys.Rev.B 19 (1979) 4486-4494,
- Reprinted in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 395-403
•
DOI:
- 10.1103/PhysRevB.19.4486