Dynamics of strings between walls

Journal Article · Sun Feb 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.045015· OSTI ID:21260029

Eto, Minoru ^[1]; Fujimori, Toshiaki; Nagashima, Takayuki ^[2]; Nitta, Muneto ^[3]; Ohashi, Keisuke ^[4]; Sakai, Norisuke ^[5]

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1. INFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa (Italy)
2. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
3. Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521 (Japan)
4. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 0WA (United Kingdom)
5. Department of Mathematics, Tokyo Woman's Christian University, Tokyo 167-8585 (Japan)

Configurations of vortex strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is shown to be non-normalizable whereas the rests are normalizable. We study dynamics of vortex strings stretched between separated domain walls by using two methods, the moduli space (geodesic) approximation of full 1/4 BPS states and the charged particle approximation for string end points in the wall effective action. In the first method we explicitly obtain the effective Lagrangian in the strong coupling limit, which is written in terms of hypergeometric functions, and find the 90 deg. scattering for head-on collision. In the second method the domain wall effective action is assumed to be U(1){sup N} gauge theory, and we find a good agreement between two methods for well-separated strings.

• OSTI ID: 21260029
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CENTER-OF-MASS SYSTEM
CHARGED PARTICLES
CONFIGURATION
GAUGE INVARIANCE
HYPERGEOMETRIC FUNCTIONS
LAGRANGIAN FUNCTION
SCATTERING
SPACE
STRING MODELS
STRONG-COUPLING MODEL
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
U-1 GROUPS
VORTICES