The proton matrix element of the topological charge in quenched QCD

Allés, B.; Campostrini, Massimo; Debbio, Luigi Del; Giacomo, A. Di; Panagopoulos, H.; Vicari, Ettore

doi:10.1016/0370-2693(94)00924-4

Cited by 14 publications

(19 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the QCD context values for κ q of order 5 have been reported in ref. [30] (where κ q is denoted by Z −1 ). Ideally one would like to use fermions to measure directly Table 1: Critical values of (β,v) based on the DR data for (β c G , β c H ) presented in ref.…”

Section: Numerical Implementationmentioning

confidence: 99%

Chern-Simons diffusion rate near the electroweak phase transition for mH ≈ mW

Tang

Smit

1996

Nuclear Physics B

View full text Add to dashboard Cite

The rate of B-violation in the standard model at finite temperature is closely related to the diffusion rate Γ of Chern-Simons number. We compute this rate for m H ≈ m W in the classical approximation in an effective SU(2)-Higgs model, usingKrasnitz's algorithm. The parameters in the effective hamiltonian are determined by comparison with dimensional reduction. In the high temperature phase we find Γ/V (α W T ) 4 ≈ 1, neglecting a finite renormalization. In the low temperature phase near the transition we find the rate to be much larger than might be expected from previous analytic calculations based on the sphaleron. 1

show abstract

Section: Numerical Implementationmentioning

confidence: 99%

Chern-Simons diffusion rate near the electroweak phase transition for mH ≈ mW

Tang

Smit

1996

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

“…Alternatively, one can exploit the anomalous divergence equation of the flavor singlet axial vector current. Using this approach, the singlet coupling G 1 A is extracted from the correlation function of the proton propagator and the topological charge density [11,12,13]. Although this "topological method" circumvents the computationally expensive calculation of disconnected (fermionic) contributions, it has some intrinsic difficulties.…”

Section: Introductionmentioning

confidence: 99%

Flavor singlet axial vector coupling of the proton with dynamical Wilson fermions

et al. 1999

View full text Add to dashboard Cite

We present the results of a full QCD lattice calculation of the flavor singlet axial vector coupling G 1A of the proton. The simulation has been carried out on a 16 3 × 32 lattice at β = 5.6 with n f = 2 dynamical Wilson fermions. It turns out that the statistical quality of the connected contribution to G 1A is excellent, whereas the disconnected part is accessible but suffers from large statistical fluctuations. Using a 1st order tadpole improved renormalization constant Z A , we estimate G 1 A = 0.20(12).

show abstract

“…[4][5][6]. An unquenched study using a geometrical definition of topological charge density has been reported in Ref.…”

mentioning

confidence: 99%

“…However an estimate may be obtained from the nonperturbative determination of the multiplicative renormalization of q L in quenched QCD, performed in Ref. [6], supplemented with relatively easier analytical two loop calculations of the only graphs containing fermion lines among those contributing to the two-point gluonic function with an insertion of q L . The evaluation of the other coefficients should be simpler, d qψ can be obtained from a one loop calculation, while γ 3 requires a two loop calculation in dimensional regularization.…”

mentioning

confidence: 99%