Characteristic numbers of U/sub 1/-valued lattice gauge fields

Journal Article · Wed May 01 04:00:00 EDT 1985 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(85)90086-7· OSTI ID:5543083

Phillips, A

If a U/sub 1/-valued latice gauge field u defined on a periodic, 2-dimensional lattice satisfies the generic continuity condition uuuunot =1, it can be used to construct a principal U/sub 1/-bundle over the torus and in that bundle a connection can only be carried out if u is monopole-free (otherwise no such bundle can exist). The characteristic classes and numbers of this bundle can then be calculated from u in a straightforward way. Examples are given of u's with maximum possible characteristic numbers, along with a discussion of the behavior of u and of its topology under an action-decreasing deformation.

• Research Organization: Mathematics Department, State University of New York, Stony Brook, New York 11794
• OSTI ID: 5543083
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 161:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONTINUITY EQUATIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
CUBIC LATTICES
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
LATTICE FIELD THEORY
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
TOPOLOGY