Self dual solutions of the temperature SU(2) Yang-Mills theory

Journal Article · Wed Jun 01 04:00:00 EDT 1983 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(83)90329-9· OSTI ID:5591607

Actor, A

Continuing previous work we elaborate on the method of ''heating'' the self-dual axially symmetric fields of the SU(2) Yang-Mills theory to finite temperature. Heating consists of performing-in certain Ansatz functions which are two-dimensional (2D) conformally invariant- a 2D conformal transformation x = x/sub 0/+iVertical BarxVertical Bar..-->..y(x), where the analytic function y(x) is periodic in the Euclidean time variable x/sub 0/. Solutions are preserved by this manipulation, which automatically changes zero-temperature fields into finite temperature ones. One can exploit this simple fact in various ways. The Harrington-Shepard caloran solution of the temperature Yang-Mills theory can be gotton from the T = 0 instanton by the transformation y(x) = (..pi..T: /sup -1/ tan ..pi..Tx. One can generate a multicaloron solution from the T = 0 one instanton solution by a conformal transformation. Generally, self-dual axially symmetric Yang-Mills fields can be heated without spoiling self duality. The caloron and three other temperature solutions can be studied in some detail. One of the new solutions is a generalized caloron with interesting properties. Our study reveals a remarkable property of the self-dual sector of the temperature Yang-Mills theory; it is full of Wu-Yang (color) monopoles at high temperature. At low temperature these monopoles disappear.

• Research Organization: Department of Physics, The Pennsylvania State University, Allentown Campus, Allentown, Pennsylvania 18051
• DOE Contract Number: AC02-79ER10528
• OSTI ID: 5591607
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 148:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL MAPPING
DUALITY
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MAPPING
QUASI PARTICLES
SCALAR FIELDS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TEMPERATURE EFFECTS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
YANG-MILLS THEORY