Glueball masses in the large N limit

Jul, 2010
37 pages
Published in:
  • JHEP 08 (2010) 119
e-Print:
Report number:
  • WUB-10-19

Citations per year

2010201420182022202402468101214
Abstract: (arXiv)
The lowest-lying glueball masses are computed in SU(NN) gauge theory on a spacetime lattice for constant value of the lattice spacing aa and for NN ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at temporal extension of the lattice NT=6N_T = 6. The calculation is conducted employing in each channel a variational ansatz performed on a large basis of operators that includes also torelon and (for the lightest states) scattering trial functions. This basis is constructed using an automatic algorithm that allows us to build operators of any size and shape in any irreducible representation of the cubic group. A good signal is extracted for the ground state and the first excitation in several symmetry channels. It is shown that all the observed states are well described by their large NN values, with modest O(1/N2){\cal O}(1/N^2) corrections. In addition spurious states are identified that couple to torelon and scattering operators. As a byproduct of our calculation, the critical couplings for the deconfinement phase transition for N=5 and N=7 and temporal extension of the lattice NT=6N_T=6 are determined.
  • 1/N Expansion
  • Lattice Gauge Field Theories
  • glueball: mass: calculated
  • critical phenomena: deconfinement
  • torelon
  • gauge field theory: SU(N)
  • expansion 1/N: color
  • glueball: operator
  • numerical calculations: Monte Carlo
  • numerical calculations: variational
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