Nonlocal field correlation functions on a lattice in the HP{sub 1{sigma}} model

Nonlocal field correlation functions on a lattice in the HP{sub 1{sigma}} model

Connected two-point field-strength correlation functions are measured on a lattice in the quaternionic projective {sigma} model within pure SU(2) theory. The correlation lengths extracted from exponential fits for these correlation functions, {lambda}{sub 1}{sup -1} = 1.40(3) GeV and {lambda}{sup -1...

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Veröffentlicht in:Physics of atomic nuclei 2010-11, Vol.73 (11)
Hauptverfasser: Orlovsky, V. D., Shevchenko, V. I.
Format: Artikel
Sprache:eng
Schlagworte:
BOSON-EXCHANGE MODELS
CONSTRUCTIVE FIELD THEORY
CORRELATION FUNCTIONS
ENERGY RANGE
FIELD THEORIES
FUNCTIONS
GEV RANGE
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
NONLOCAL POTENTIAL
PARTICLE MODELS
PERIPHERAL MODELS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
QUANTUM FIELD THEORY
SIGMA MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
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Zusammenfassung:Connected two-point field-strength correlation functions are measured on a lattice in the quaternionic projective {sigma} model within pure SU(2) theory. The correlation lengths extracted from exponential fits for these correlation functions, {lambda}{sub 1}{sup -1} = 1.40(3) GeV and {lambda}{sup -1} = 1.51(3) GeV, are found to be in good agreement with the results of other known calculations. The dependence of bilocal functions on the connector shape is also studied.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778810110220