Solitons in (1+1)-dimensional gauged {sigma} models

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.5153· OSTI ID:632707

Ghosh, P K ^[1]

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1. The Mehta Research Institute of Mathematics Mathematical Physics, Chhatnag Road, Jhusi, Allahabad-221506, U.P. (India)

We study soliton solutions in (1+1)-dimensional gauged {sigma} models, obtained by dimensional reduction from its (2+1)-dimensional counterparts. We show that the Bogomol{close_quote}nyi bound of these models can be expressed in terms of two conserved charges in a similar way to that of the BPS dyons in 3+1 dimensions. Purely magnetic vortices of the (2+1)-dimensional completely gauged {sigma} model appear as charged solitons in the corresponding (1+1)-dimensional theory. The scale invariance of these solitons is also broken because of the dimensional reduction. We obtain exact static soliton solutions of these models saturating the Bogomol{close_quote}nyi bound. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 632707
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
LAGRANGIAN FIELD THEORY
SCALE INVARIANCE
SIGMA MODEL
SOLITONS
TWO-DIMENSIONAL CALCULATIONS
U-1 GROUPS
UNIFIED GAUGE MODELS
VORTICES