Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.045033· OSTI ID:21039197

Sasai, Yuya; Sasakura, Naoki ^[1]

---

1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

Domain wall solitons are the simplest topological objects in field theories. The conventional translational symmetry in a field theory is the generator of a one-parameter family of domain wall solutions, and induces a massless moduli field which propagates along a domain wall. We study similar issues in braided noncommutative field theories possessing Hopf algebraic translational symmetries. As a concrete example, we discuss a domain wall soliton in the scalar {phi}{sup 4} braided noncommutative field theory in Lie-algebraic noncommutative space-time, [x{sup i},x{sup j}]=2i{kappa}{epsilon}{sup ijk}x{sub k} (i,j,k=1,2,3), which has a Hopf algebraic translational symmetry. We first discuss the existence of a domain wall soliton in view of Derrick's theorem, and construct explicitly a one-parameter family of solutions in perturbation of the noncommutativity parameter {kappa}. We then find the massless moduli field which propagates on the domain wall soliton. We further extend our analysis to the general Hopf algebraic translational symmetry.

• OSTI ID: 21039197
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
DISTURBANCES
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
PHI4-FIELD THEORY
SCALARS
SOLITONS
SPACE-TIME
SYMMETRY
TOPOLOGY