Convergent expansions for glueball masses in strongly coupled 3+1 lattice gauge theories

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

DOI:https://doi.org/10.1063/1.526894· OSTI ID:5770581

O'Carroll, M; Barbosa, W D

We analyze the mass spectrum of a strongly coupled (..beta.. = 2/g/sup 2/ small) Wilson action lattice gauge theory in 3+1 dimensions. In the subspace generated by the time zero plaquette functions and their complex conjugates we show that there is at least one and not more than four masses. Each mass admits a representation of the form m(..beta..) = -ln ..beta..+r(..beta..), where r(..beta..) is a gauge group representation-dependent function analytic in ..beta.. or ..beta../sup 1//sup ///sup 2/ at ..beta.. = 0. For a gauge group representation with real character there is at least one and not more than two masses of the above form and r(..beta..) is analytic at ..beta.. = 0. Furthermore c/sub n/, the nth ..beta.. = 0 Taylor series coefficient of r(..beta..), can be obtained by a finite algorithm.

• Research Organization: Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
• OSTI ID: 5770581
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:7; 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
ANGULAR MOMENTUM
ASYMPTOTIC SOLUTIONS
BOUND STATE
CONVERGENCE
CORRELATION FUNCTIONS
COUPLING
ELEMENTARY PARTICLES
FIELD THEORIES
FOURIER TRANSFORMATION
FUNCTIONS
GAUGE INVARIANCE
GLUEBALLS
GLUONS
INTEGRAL TRANSFORMATIONS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LATTICE FIELD THEORY
MASS
MASS SPECTRA
MATHEMATICAL LOGIC
MATRICES
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SERIES EXPANSION
SPECTRA
SPIN
TRANSFORMATIONS
UNITARITY