Expansion in the width and collective dynamics of a domain wall

Arodz, H.

doi:10.1016/S0550-3213(97)00497-5

Expansion in the width and collective dynamics of a domain wall

H. Arodz
(
- Jagiellonian U.
)

Mar, 1997

26 pages

Published in:

Nucl.Phys.B 509 (1998) 273-293

e-Print:

hep-th/9703168 [hep-th]

DOI:

10.1016/S0550-3213(97)00497-5

Report number:

TPJU-2-97

View in:

pdf

reference search16 citations

Citations per year

Abstract:

We show that collective dynamics of a curved domain wall in a (3+1)-dimensional relativistic scalar field model is represented by Nambu-Goto membrane and (2+1)-dimensional scalar fields defined on the worldsheet of the membrane. Our argument is based on a recently proposed by us version of the expansion in the width. Derivation of the expansion is significantly reformulated for the present purpose. Third and fourth order corrections to the domain wall solution are considered. We also derive an equation of motion for the core of the domain wall. Without the (2+1)-dimensional scalar fields this equation would be nonlocal.

Note:

26 pages, LaTeX, no figures Report-no: preprint TPJU-2/97

11.27.+d
11.10.Lm
Relativistic domain walls
Expansion in the width
Collective dynamics
Extrinsic curvature
phi**n model: 4
space-time
domain wall
membrane model

References(31)

Figures(0)

- Adv.Phys. 35 507

Dual QCD: A Review

- Phys.Rept. 209 (1991) 73-127
•
DOI:
- 10.1016/0370-1573(91)90123-4

Dynamical fragmentation of flux tubes in the Friedberg-Lee model

- Nucl.Phys.A 619 (1997) 321-345
•
e-Print:
- hep-ph/9701363
•
DOI:
- 10.1016/S0375-9474(97)00142-5

Topology of Cosmic Domains and Strings

T.W.B. Kibble
(
- Imperial Coll., London
)

- J.Phys.A 9 (1976) 1387-1398
•
DOI:
- 10.1088/0305-4470/9/8/029

Cosmic Strings and Domain Walls

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rept. 121 (1985) 263-315
•
DOI:
- 10.1016/0370-1573(85)90033-X

Interaction of U(1) cosmic strings: Numerical intercommutation

Richard A. Matzner
(
- Texas U.
)

- Comput.Phys. 2 (1988) 5, 51-64
•
DOI:
- 10.1063/1.168306

Cosmic String Interactions

E.P.S. Shellard
(
- Cambridge U.
)

- Nucl.Phys.B 283 (1987) 624-656,
- Nucl. Phys. B283 ( 1987) 624-656
•
DOI:
- 10.1016/0550-3213(87)90290-2

Dynamics of Thick Domain Walls

Lawrence M. Widrow
(
- Harvard U. and
- Harvard-Smithsonian Ctr. Astrophys.
)

- Phys.Rev.D 40 (1989) 1002
•
DOI:
- 10.1103/PhysRevD.40.1002

Traveling Waves on Domain Walls and Cosmic Strings

Vachaspati
(
- Unlisted, IN
)
,
T. Vachaspati
(
- Tufts U.
)

- Phys.Lett.B 238 (1990) 41-44
•
DOI:
- 10.1016/0370-2693(90)92097-3

Vortex String Motion in the Abelian Higgs Model

P.J. Ruback
(
- Cambridge U. and
- Ecole Normale Superieure and
- Meudon Observ.
)

- Nucl.Phys.B 296 (1988) 669-678
•
DOI:
- 10.1016/0550-3213(88)90038-7

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

Dynamics of Relativistic Vortex Lines and their Relation to Dual Theory

D. Forster
(
- Bohr Inst.
)

- Nucl.Phys.B 81 (1974) 84-92
•
DOI:
- 10.1016/0550-3213(74)90008-X

Quantized Relativistic String as a Strong Coupling Limit of Higgs Model

- Nucl.Phys.B 91 (1975) 301,
•
DOI:
- 10.1016/0550-3213(75)90473-3

Finite Width Corrections to the Nambu Action for the Nielsen-Olesen String

Kei-ichi Maeda
(
- Fermilab and
- Tokyo U.
)
,
Neil Turok
(
- Fermilab
)

- Phys.Lett.B 202 (1988) 376-380
•
DOI:
- 10.1016/0370-2693(88)90488-1

Effective Action for a Cosmic String

R. Gregory
(
- Cambridge U.
)

- Phys.Lett.B 206 (1988) 199-204
•
DOI:
- 10.1016/0370-2693(88)91492-X

The Fine Structure of Local and Axion Strings

- Phys.Rev.D 39 (1989) 2308
•
DOI:
- 10.1103/PhysRevD.39.2308

The Dynamics of Domain Walls and Strings

- Phys.Rev.D 42 (1990) 343-348
•
DOI:
- 10.1103/PhysRevD.42.343

Unified dynamics of quantum vortices

U. Ben-Yaacov
(
- Hebrew U.
)

- Nucl.Phys.B 382 (1992) 597-615
•
DOI:
- 10.1016/0550-3213(92)90661-T

Topological defects and corrections to the Nambu action

Vanda Silveira
(
- Brasilia U.
)
,
Marcos Duarte Maia
(
- Brasilia U.
)

- Phys.Lett.A 174 (1993) 280-284
•
e-Print:
- gr-qc/9303017
•
DOI:
- 10.1016/0375-9601(93)90138-P

Comment on thickness corrections to Nambu wall

A.L. Larsen
(
- NORDITA
)

- Phys.Lett.A 181 (1993) 369-372,
- Phys. Lett. A181 (1993) 369-372. and Preprint - Larsen, A.L. (93/06,rec.Jun.) 7 p. B
•
e-Print:
- hep-th/9306046
•
DOI:
- 10.1016/0375-9601(93)90390-L

Curvature corrections to dynamics of domain walls

Brandon Carter
(
- Newton Inst. Math. Sci., Cambridge and
- Meudon Observ.
)
,
Ruth Gregory
(
- Cambridge U.
)

- Phys.Rev.D 51 (1995) 5839-5846
•
e-Print:
- hep-th/9410095
•
DOI:
- 10.1103/PhysRevD.51.5839

Unified Approach to Strings and Vortices with Soliton Solutions

- Phys.Rev.D 14 (1976) 1524
•
DOI:
- 10.1103/PhysRevD.14.1524

On expansion in the width for domain walls

H. Arodz
(
- Jagiellonian U.
)

- Nucl.Phys.B 450 (1995) 174-188
•
e-Print:
- hep-th/9502018
•
DOI:
- 10.1016/0550-3213(95)00385-6

Expansion in the width: The case of vortices

H. Arodz
(
- Jagiellonian U.
)

- Nucl.Phys.B 450 (1995) 189-208
•
e-Print:
- hep-th/9503001
•
DOI:
- 10.1016/0550-3213(95)00386-7

A Remark on the effective action method in dynamics of vortices

H. Arodz
(
- Jagiellonian U.
)
,
Pawel Wegrzyn
(
- Jagiellonian U.
)

- Phys.Lett.B 291 (1992) 251-254,
- Krakow Univ. - TPJU-92-13 (92/06,rec.Jul.) 8 p,
- Phys. Lett. B291 (1992) 251-254 and Krakow Univ. - TPJU-92-13 (92/06,rec.Jul.) 8 p
•
DOI:
- 10.1016/0370-2693(92)91040-G

1-25 of 31
1
2
25 / page