Correlation length and order of the deconfining phase transition

Journal Article · Mon May 22 04:00:00 EDT 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.2433· OSTI ID:6196381

Berg, B A; Villanova, R; Vohwinkel, C

We analyze SU(2) and SU(3) lattice gauge theory on/ital L//sub /ital t///times/L/sup 2/infinity lattices (/ital L//sub /ital t//less than or equal toL). By..beta../sub /ital c// we denote the critical coupling at /ital L/=infinity. In theneighborhood of the deconfining phase transition, at appropriately definedcoupling constants ..beta..(/ital L/,/ital L/'), /ital L//gt//ital L/' (with..beta..(/ital L/,/ital L/')/r arrow/..beta../sub /ital c// for /ital L/'/r arrow/infinity), the correlationlength xi scales /similar to//ital L///ital L/' for second- and first-ordertransitions (xi=1//ital E//sub 1/ with /ital E//sub 1/ the energy ofone unit of 't Hooft electric flux). Linearization around the couplings..beta..(/ital L/,/ital L/') allows the calculation of critical exponents.Numerical results (/ital L//sub /ital t//=4) support a second-order transition forSU(2), but not for SU(3).

• Research Organization: Department of Physics and Supercomputer Computations Research Institute, The Florida State University, Tallahassee, Florida 32306(US)
• OSTI ID: 6196381
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:21; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COMPOSITE MODELS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
CRITICALITY
CRYSTAL MODELS
DATA
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
INFORMATION
ISING MODEL
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MONTE CARLO METHOD
NUMERICAL DATA
PARTICLE MODELS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
THEORETICAL DATA
UNIFIED GAUGE MODELS