Glueball masses in QCD3

Self Cite

We review the recent glueball mass calculations using an efficient method for solving the Schrödinger equation order by order with a scheme preserving the continuum limit. The reliability of the method is further supported by new accurate results for (1+1)-dimensional σ models and (2+1)-dimensional non-abelian models. We present first and encouraging data for the glueball masses in 3+1 dimensional QCD.

Section: Introductionsupporting

confidence: 63%

“…Using the techniques in [6,16] and analysing carefully the data in the observed scaling region β ∈ [5, 12), a more accurate value [14] for M (0 ++ )/e 2 is obtained:…”

Section: Qcd 3 : Beyond a Toy Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Glueball masses in quantum chromodynamics

Luo¹,

Chen²,

Guo³

et al. 1997

Self Cite

“…In [1,2,3,4,5], we developed an efficient eigenvalue equation method with some new truncation schemes which preserve the continuum limit. This is an essential step towards the scaling.…”

mentioning

confidence: 99%

Spectroscopy and large scale wave functions

Chen

Guo

Luo³

et al. 1996

Self Cite

We discuss the relevance of long wavelength excitations for the low energy spectrum of QCD, and try to develop an efficient method for solving the Schrödinger equation, and for extracting the glueball masses and long wavelength functions of the ground and excited states. Some technical problems appearing in the calculations of SU(3) gauge theory are discussed.QCD in the pure gauge sector possesses a nontrivial vacuum structure and bound states called glueballs. Solving the Schrödinger equation in the Hamiltonian formulation can directly provide not only the glueball masses from the eigenvalues, but also the profiles, i.e., the wave functions for the ground state and excited states.Strictly speaking, the continuum physics should be extracted in the asymptotic scaling region predicted by the renormalization group equation. In [1, 2, 3, 4, 5], we developed an efficient eigenvalue equation method with some new truncation schemes which preserve the continuum limit. This is an essential step towards the scaling.Our starting point is to obtain the long wavelength wave functions of the ground and excited states. The philosophy is to keep the correct long wavelength limit during the truncation. The low energy spectrum originates mainly from the long wavelength excitations. This is because the size or the Compton length of a glueball, which is usually of the same order as that of a hadron or the lattice size, should be much greater than the lattice spacing a. It is worth mentioning that the confinement of gluons or static quarks is closely related to the long wavelength structure of the vacuum. For the long wavelength configurations U , 1

Truncated eigenvalue equation and long wavelength behavior of lattice gauge theory

Guo¹,

Chen²,

Fang³

et al. 1996

Self Cite

We review our new method, which might be the most direct and efficient way for approaching the continuum physics from Hamiltonian lattice gauge theory. It consists of solving the eigenvalue equation with a truncation scheme preserving the continuum limit. The efficiency has been confirmed by the observations of the scaling behaviors for the long wavelength vacuum wave functions and mass gaps in (2+1)-dimensional models and (1+1)dimensional σ model even at very low truncation orders. Most of these results show rapid convergence to the available Monte Carlo data, ensuring the reliability of our method.