Convergent expansions for excited glueball masses in 2+1 strongly coupled lattice gauge theories

Journal Article · Sun Sep 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526818· OSTI ID:5599936

O'Carroll, M

It is known that the mass spectrum of a strongly coupled (..beta.. = 2/g/sup 2/ small) 2+1 Wilson action lattice gauge theory contains a mass m/sub 0/approx.-4 ln ..beta.. and two excited masses m/sub 1/, m/sub 2/approx.-6 ln ..beta.. and that m/sub 0/+4 ln ..beta.. has a convergent expansion in powers of ..beta... We show that m/sub 1/, m/sub 2/ admit convergent expansions of the form -6 ln ..beta..+r(..beta..), where r(..beta..) is analytic at ..beta.. = 0. Furthermore, a finite lattice algorithm is given for determining c/sub n/, the nth ..beta.. = 0 Taylor coefficient of r(..beta..). Here, c/sub n/ only depends on a finite number of ..beta.. = 0 Taylor series coefficients of the plaquette--plaquette, plaquette--double plaquette, and double plaquette--double plaquette truncated correlation functions at a finite number of points. For the gauge group Z/sub 2/, by duality, m/sub 1/, m/sub 2/ map to bound states of the low-temperature Ising model; a possible relation between an increasing number of bound states and roughening is discussed.

• Research Organization: Harvard University, Lyman Laboratory of Physics, Cambridge, Massachusetts 02138
• OSTI ID: 5599936
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ASYMPTOTIC SOLUTIONS
BOUND STATE
BOUNDARY CONDITIONS
CONVERGENCE
CORRELATION FUNCTIONS
COUPLING
CRYSTAL MODELS
FIELD THEORIES
FOURIER TRANSFORMATION
FUNCTIONS
GAUGE INVARIANCE
GLUEBALLS
GROUP THEORY
INTEGRAL TRANSFORMATIONS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
ISING MODEL
LATTICE FIELD THEORY
MASS SPECTRA
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICS
QUANTUM FIELD THEORY
SERIES EXPANSION
SPECTRA
SYMMETRY
TRANSFORMATIONS
UNITARITY