Classification of gauge fields and group representations

1980 ◽  
pp. 313-317
Author(s):  
M. Carmeli ◽  
B. Z. Moroz
Keyword(s):  
Gauge Fields ◽  
Group Representations

Invariants and classification of gauge fields

1978 ◽  
Vol 18 (4) ◽  
pp. 1144-1151 ◽  
Author(s):  
J. Anandan ◽  
K. P. Tod
Keyword(s):  
Gauge Fields

Classification of solutions for gauge fields on group manifolds

1987 ◽  
Vol 20 (1) ◽  
pp. 59-67 ◽  
Author(s):  
C Abecasis ◽  
A Foussats ◽  
R Laura ◽  
O Zandron
Keyword(s):  
Gauge Fields ◽  
Classification Of Solutions

Chern classes, Pontrjagin forms and classification of gauge fields

1979 ◽  
Vol 25 (8) ◽  
pp. 230-233 ◽  
Author(s):  
M. Carmeli ◽  
D. H. Wohl
Keyword(s):  
Gauge Fields ◽  
Chern Classes

Crystallographic viewpoints in the classification of space-group representations

1995 ◽  
Vol 210 (4) ◽  
pp. 243-254 ◽  
Author(s):  
M. I. Aroyo ◽  
H. Wondratschek
Keyword(s):  
Group Representations ◽  
Space Group

On the Topology of Configurations of Gauge Fields and Higgs Fields

2003 ◽  
Vol 18 (12) ◽  
pp. 2059-2065
Author(s):  
R. Chaves
Keyword(s):  
Homotopy Group ◽  
Gauge Theories ◽  
Minimum Energy ◽  
Topological Classification ◽  
Gauge Fields ◽  
Massive String ◽  
Higgs Vacuum ◽  
Vacuum States ◽  
Higgs Fields

Starting with the topological classification of gauge fields on the sphere (Dirac monopoles) and of Higgs vacuum configurations (through the second homotopy group of the space of vacuum states), the features of minimum energy solutions to gauge theories with spontaneous symmetry breaking and in the presence of singularities (monopoles) are deduced. For each theory, this analysis reveals whether a monopole can exist isolated or must be attached to a massive string and how its flux must be distributed.

Brillouin-zone database on theBilbao Crystallographic Server

2014 ◽  
Vol 70 (2) ◽  
pp. 126-137 ◽  
Author(s):  
Mois I. Aroyo ◽  
Danel Orobengoa ◽  
Gemma de la Flor ◽  
Emre S. Tasci ◽  
J. Manuel Perez-Mato ◽  
...  
Keyword(s):  
New York ◽  
Brillouin Zone ◽  
Irreducible Representations ◽  
Group Representations ◽  
General Introduction ◽  
Space Groups ◽  
Symmetry Properties ◽  
Parameter Ranges ◽  
Representations Of Space

The Brillouin-zone database of theBilbao Crystallographic Server(http://www.cryst.ehu.es) offersk-vector tables and figures which form the background of a classification of the irreducible representations of all 230 space groups. The symmetry properties of the wavevectors are described by the so-called reciprocal-space groups and this classification scheme is compared with the classification of Cracknellet al.[Kronecker Product Tables, Vol. 1,General Introduction and Tables of Irreducible Representations of Space Groups(1979). New York: IFI/Plenum]. The compilation provides a solution to the problems of uniqueness and completeness of space-group representations by specifying the independent parameter ranges of general and specialkvectors. Guides to thek-vector tables and figures explain the content and arrangement of the data. Recent improvements and modifications of the Brillouin-zone database, including new tables and figures for the trigonal, hexagonal and monoclinic space groups, are discussed in detail and illustrated by several examples.

Classification of gauge fields

1979 ◽  
Vol 20 (2) ◽  
pp. 260-268 ◽  
Author(s):  
J. Anandan
Keyword(s):  
Gauge Fields
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