Syncyclons or solitonic signals from extra dimensions

Journal Article · Thu Jul 30 04:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392001865· OSTI ID:6991528

Aulakh, C S ^[1]

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1. Inst. of Physics, Sachivalya Marg, Bhubhaneshwar (IN)

This paper reports that in theories where space-time is a direct product of Minkowski space (M{sup 4}) and a d-dimensional compact space (K{sup d}), there can exist topological solitons that simultaneously wind around R{sup 3} (or R{sup 2} or R{sup 1}) in M{sup 4} and the compact dimensions. A paradigmatic nongravitational example of such co-winding solitons is furnished by Yang-Mills theory defined on M{sup 4} {times} S{sup 1}. Point-like, string-like and sheet-like solitons can be identified by transcribing and generalizing the procedure used to construct the periodic instanton (caloron) solutions. Asymptotically the classical point-like objects have non-Abelian magnetic dipole fields together with a non-Abelian scalar potential while the color electric charge is zero. However quantization of collective coordinates associated with zero modes and coupling to fermions can radically change these quantum numbers due to fermion number fractionalization and its non-Abelian generalization. Interpreting the YM group as color (or the electroweak SU(2) group) and assuming that an extra circular dimension exists thus implies the existence of topologically stable solitonic objects which carry baryon (Lepton) number and a mass O(1/g{sup 2} R), where R is the radius of the compact dimension.

• OSTI ID: 6991528
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:23; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BARYON NUMBER
CLASSICAL MECHANICS
COMPOSITE MODELS
COORDINATES
COUPLING
DIPOLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
INSTANTONS
LEPTON NUMBER
LIE GROUPS
MAGNETIC DIPOLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
MINKOWSKI SPACE
MULTIPOLES
PARTICLE MODELS
QUANTIZATION
QUANTUM NUMBERS
QUARK MODEL
QUASI PARTICLES
SCALARS
SOLITONS
SPACE
SPACE-TIME
STRING MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TOPOLOGY
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEINBERG-SALAM GAUGE MODEL
YANG-MILLS THEORY