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Extended Objects in Field Theory with Non‐Abelian Group Symmetry
Author(s) -
Matsumoto H.,
Umezawa H.,
Umezawa M.
Publication year - 1981
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19810291002
Subject(s) - gauge theory , introduction to gauge theory , abelian group , theoretical physics , homogeneous space , brst quantization , physics , supersymmetric gauge theory , formalism (music) , gauge symmetry , symmetry group , pure mathematics , mathematics , mathematical physics , geometry , art , musical , visual arts
This paper presents a general formalism for the description of topological objects created in quantum field systems with non‐Abelian symmetries. This formalism utilizes relations of differential form and therefore is suitable for the description of the local properties of the topological structure. The presentation of the general considerations is followed by several examples. Even when there is no gauge field, the analysis requires use of a gauge transformation matrix. This coincides with the usual gauge transformation matrix when a gauge field is introduced.