Casimir scaling and string breaking in G{sub 2} gluodynamics

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.016001· OSTI ID:21503904

Wellegehausen, Bjoern H; Wipf, Andreas; Wozar, Christian ^[1]

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1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany)

We study the potential energy between static charges in G{sub 2} gluodynamics in three and four dimensions. Our work is based on an efficient local hybrid Monte Carlo algorithm and a multilevel Luescher-Weisz algorithm with exponential error reduction to accurately measure expectation values of Wilson and Polyakov loops. Both in three and four dimensions we show that at intermediate scales the string tensions for charges in various G{sub 2} representations scale with the second order Casimir. In three dimensions Casimir scaling is confirmed within 4% for charges in representations of dimensions 7, 14, 27, 64, 77, 77{sup '}, 182, and 189 and in four dimensions within 5% for charges in representations of dimensions 7, 14, 27, and 64. In three dimensions we detect string breaking for charges in the two fundamental representations. The scale for string breaking agrees very well with the mass of the created pair of glue lumps. Close to the string breaking distance Casimir scaling between adjoint and defining representation is violated by 2.5%. The analytical prediction for the continuum string tension is confirmed for the defining representation in three dimensions.

• OSTI ID: 21503904
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevD.83.016001; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CASIMIR EFFECT
FORECASTING
FOUR-DIMENSIONAL CALCULATIONS
GLUONS
MASS
MONTE CARLO METHOD
POTENTIAL ENERGY
SCALING
STRING MODELS
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
WILSON LOOP
BOSONS
CALCULATION METHODS
COMPOSITE MODELS
ENERGY
EXTENDED PARTICLE MODEL
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL