Glueball masses and string tension in lattice QCD

Albanese, M; Costantini, F.; Fiorentini, G.; Flore, F; Lombardo, Maria Paola; Tripiccione, R.; Bacilieri, P.; Fonti, L.; Giacomelli, P.; Remiddi, E.; Bernaschi, Massimo; Cabibbo, N.; Marinari, Enzo; Parisi, Giorgio; Salina, G.; Cabasino, S.; Marzano, F.; Paolucci, P.; Petrarca, S.; Rapuano, F.; Marchesini, P.; Rusack, R.

doi:10.1016/0370-2693(87)91160-9

Cited by 688 publications

(178 citation statements)

References 14 publications

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“…[15], in which the original links of a configuration are replaced by smeared links, constructed as follows:…”

Section: Smoothing Methodsmentioning

confidence: 99%

“…On the other hand, in the limit of large quark masses, the topological susceptibility is expected to approach the nonzero value χ ∞ of the pure gauge theory. In the large-N limit, it has been argued that [219,373] 15) which describes the crossover behavior of χ from the small-M π and large-M π asymptotic regions. We recall that a relation analogous to (7.14) holds also on the lattice, at finite lattice spacing, when fermions satisfying the Ginsparg-Wilson relation are considered, see Sec.…”

Section: The Topological Susceptibility In the Chiral Limitmentioning

confidence: 99%

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θ dependence of SU(N) gauge theories in the presence of a topological term

2009

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We review results concerning the θ dependence of 4D SU (N ) gauge theories and QCD, where θ is the coefficient of the CP-violating topological term in the Lagrangian. In particular, we discuss θ dependence in the large-N limit.Most results have been obtained within the lattice formulation of the theory via numerical simulations. We review results at zero and finite temperature. We show that the results support the scenario obtained by general large-N scaling arguments, and in particular the Witten-Veneziano mechanism to explain the U (1) A problem. We also compare with results obtained by other approaches, especially in the large-N limit, where the issue has been also addressed using, for example, the AdS/CFT correspondence.We discuss issues related to theta dependence in full QCD: the neutron electric dipole moment, the dependence of the topological susceptibility on the quark masses, the U (1) A symmetry breaking at finite temperature.We also review results in the 2D CP N −1 model, which is an interesting theoretical laboratory to study issues related to topology.Finally, we discuss the main features of the two-point correlation function of the topological charge density.

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“…[15], in which the original links of a configuration are replaced by smeared links, constructed as follows:…”

Section: Smoothing Methodsmentioning

confidence: 99%

Section: The Topological Susceptibility In the Chiral Limitmentioning

confidence: 99%

θ dependence of SU(N) gauge theories in the presence of a topological term

2009

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“…We computed finite t approximations to the static quark potential using time-like Wilson loops W ( r, t) which were constructed using "APE"-smeared spatial links [9,6]. On-and off-axis spatial paths were used with distances r = n, √ 2n, √ 3n, and √ 5n, with n a positive integer.…”

Section: Matching At β = 55mentioning

confidence: 99%

QCDβfunction with two flavors of dynamical Wilson fermions

et al. 1996

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We test the asymptotic scaling behavior of state-of-the-art simulations of QCD with two flavors of light Wilson fermions. This is done by matching π and ρ masses on lattices of size 16 3 × 32 and 8 3 × 16. We find that at β = 6/g 2 = 5.3 matching is not possible over a range extending down to β = 3.5. The large lattice data at β = 5.5 matches the small lattice values at β = 4.9(1) leading to a shift ∆β = 0.6(1), considerably larger than the perturbative prediction of 0.45. In both cases we conclude that the simulations are very far from the asymptotic scaling region.

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“…(3.42), very similar to the observables, which were later considered by . Rather than measuring the correlations C i (z), they applied a so called smearing procedure (Albanese et al, 1987) to generate operators weakly coupled to the high-energy fluctuations. We do not go into technical details, although the smearing technique is quite important for following the decay of the correlation over a large distance up to 15-z-slices on a lattice of cylinder geometry 12 2 × 48 × 4.…”

Section: Correlation Lengths Mass Gaps and Tunneling Eventsmentioning

confidence: 99%

Phase transitions in quantum chromodynamics

1996

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The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in effective continuum models for QCD is presented. Theoretical predictions about the order of the transitions are compared with possible experimental manifestations in heavy-ion collisions. Various places in phenomenological descriptions are pointed out, where more reliable data for QCD's equation of state would help in selecting the most realistic scenario among those proposed. Unanswered questions are raised about the relevance of calculations which assume thermodynamic equilibrium. Promising new approaches to implement nonequilibrium aspects in the thermodynamics of heavy-ion collisions are described.

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Glueball masses and string tension in lattice QCD

Cited by 688 publications

References 14 publications

θ dependence of SU(N) gauge theories in the presence of a topological term

θ dependence of SU(N) gauge theories in the presence of a topological term

QCDβfunction with two flavors of dynamical Wilson fermions

Phase transitions in quantum chromodynamics

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