1,497 research outputs found
Renormalized Polyakov loops in many representations
No full textGupta S, Hübner KA, Kaczmarek O. Renormalized Polyakov loops in many representations. Phys.Rev. 2008;77(3): 34503.We present a renormalization procedure for Polyakov loops which explicitly implements the fact that the renormalization constant depends only on the ultraviolet cutoff. Using this we study the renormalized Polyakov loops in all representations upto the {\bf 27} of the gauge group SU(3). We find good evidence for Casimir scaling of the Polyakov loops and for approximate large-N factorization. By studying many loops together, we are able to show that there is a matrix model with a single coupling which can describe the high temperature phase of QCD, although it is hard to construct explicitly. We present the first results for the non-vanishing renormalized octet loop in the thermodynamic limit below the SU(3) phase transition, and estimate the associated string breaking distance and the gluelump binding energy. By studying the connection of the direct renormalization procedure with a generalization of an earlier suggestion which goes by the name of the renormalization procedure, we find that they are functionally equivalent
A reciprocity formula from abelian BF and Turaev–Viro theories
No full textAbstractIn this article we show that the use of Deligne–Beilinson cohomology in the context of the U(1) BF theory on a closed 3-manifold M yields a discrete ZN BF theory whose partition function is an abelian TV invariant of M. By comparing the expectation values of the U(1) and ZN holonomies in both BF theories we obtain a reciprocity formula
The Bar BF Ranch
No full textThe area of investigation concerns the possible uses of the Bar BF Ranch in Smithville, Missouri. The business that will ultimately lead to the greatest growth potential is sought. Two possibilities are outlined. The major finding for a growth industry is that of breeding extremely rare straight Egyptian Arabian horses. They are unequaled in classic beauty and thus possess a high profit potential as a genetic pool for the Arabian market world wide. The alternate growth concept for the Bar BF Ranch would be as a quest ranch specializing in horseback riding. The site has been approved for this use by the Dude Ranchers Association of America. The author concludes that the breeding of straight Egyptian Arabian horses will be the primary objective of the Bar BF Ranch, based upon industry findings and return of investment potential
THE INFRARED SPECTRA OF BF CATION AND BFOH CATION TRAPPED IN SOLID NEON
No full textAuthor Institution: Optical Technology Division, National Institute of Standards and Technology, Gaithersburg, MD 20899-8441New, more detailed studies of the photoionization and Penning ionization of BF trapped in solid neon have confirmed the earlier{} infrared spectroscopic identification of BF and BF cation and have yielded a revised assignment for the infrared absorptions of BF cation. The position of the absorption attributed to of that molecule is consistent with the distortion of the ground-state cation from D symmetry because of strong vibronic interaction between levels of the \~{B} E state and E levels of the \~{X} A ground state, as predicted by Haller and co-workers.{ppel, L.~S.~Cederbaum, W.~von~Niessen, and G.~Bieri, J.~Chem.~Phys. 78, 1359 (1983).}} The facile reaction of BF with traces of HO desorbed from the walls of the vacuum system leads to the stabilization of sufficient BFOH for the identification of two vibrational fundamentals of BFOH cation
Low Complexity BF scheme for downlink MISO-NOMA systems
No full textIn this study, the authors investigate the user selection (US), beamforming (BF) and power allocation (PA) problems for the downlink multiple-input-single-output-based non-orthogonal multiple-access system. For the US problem, they matched the BF and PA schemes with different US schemes to achieve the best spectral efficiency performance. For the BF and PA problems, they derive a non-normalised BF scheme to accomplish the BF and PA problems jointly. The non-normalised BF scheme requires much lower computational complexity than the duality BF scheme. According to their simulation results, the non-normalised BF scheme can achieve the same or better spectral efficiency performance than the duality BF scheme. When the number of users sharing the same time-frequency resource is large, both the duality BF scheme and the singular value decomposition (SVD)-based BF scheme cannot obtain spectral efficiency advantage over the OMA scheme. However, the non-normalised BF scheme can maintain the advantage over the OMA scheme.SCI(E)ARTICLE101566-15731
COHERENT RAMAN SPECTRA OF THE MODE OF BF AND BF
No full textAuthor Institution: Department of Chemistry, Oregon State University, 153 Gilbert Hall, Corvallis, OR 97331-4003; Pacific Northwest National Laboratory, P. O. Box 999, Mail Stop K8-88, Richland, WA 99532; National Institute of Standards and Technology, Gaithersburg, MD 20899High resolution (0.001 cm) coherent anti-Stokes Raman spectroscopy (CARS) was used to directly examine the symmetric stretching mode of the D molecules BF and BF. Calculated spectra were constructed using rovibrational parameters deduced from published infrared hot band, combination band, and difference band studies, and the similarity to the experimental CARS spectra confirms the validity of the constants. No significant perturbations by Fermi resonance or Coriolis interactions with nearby states are observed, in marked contrast to the case of sulfur trioxide, a similar D molecule recently studied. Since the boron nucleus is at the center of mass, the BF and BF Q-branches are the same according to the harmonic oscillator model. Interestingly, the observed frequency of BF is 0.198 cm higher than that of BF. This result is reproduced almost exactly (0.200 cm) using {\it ab initio} calculations (B3LYP/cc-pVTZ) that included evaluation of cubic and quartic force constants and x anharmonicity constants. {\it Ab initio} methods also predict to within 1\% the B and C changes in the rotational constants in going from the ground state to the v = 1 vibrational level
THE ELECTRONIC SPECTRUM OF BF
No full textAuthor Institution: Division of Pure Physics, National Research Council of CanadaThe electronic spectrum of BF has been photographed in absorption at high resolution in the region from to . The emission spectrum has been investigated between and . Several new singlet states, which lie 75,000 to above the ground state, were found in absorption. Rotational constants have been determined for nearly 20 states, including the previously well-known X, A, B, C, and D states. Analysis of the emission and absorption spectra has permitted the reassignment of several transitions which had been seen previously only in emission. A discussion of the nature of the excited electronic states of BF will be presented
FLUORESCENCE SPECTRA OF PN AND BF
No full textAuthor Institution: Department of Chemistry, University of PennsylvaniaResonance fluorescence has been observed from the states of PN and BF. The species are produced in a microwave discharge and flowed into a fluorescence cell where they are optically excited by both molecular and atomic lamps. Vibronic transition probabilities for the PN system are obtained from observed band intensities and are compared with calculated Franck-Condon factors
Sweeping has no effect on renormalized turbulent viscosity
No full textWe perform renormalization group analysis (RG) of the Navier-Stokes equation in the presence of constant mean velocity field , and show that the renormalized viscosity is unaffected by , thus negating the ``sweeping effect", proposed by Kraichnan [Phys. Fluids {\bf 7}, 1723 (1964)] using random Galilean invariance. Using direct numerical simulation, we show that the correlation functions for and differ from each other, but the renormalized viscosity for the two cases are the same. Our numerical results are consistent with the RG calculations
A Unified Shell model for Buoyancy-Driven Turbulence
No full textWe construct a unified shell model for stably stratified and convective turbulence. Shell model simulation of stably stratified flow in turbulent regime exhibit Bolgiano-Obukhbov (BO) scaling in which the kinetic energy spectrum varies as . However, simulation of convective turbulence shows Kolmogorov's spectrum. These results are consistent with the direct numerical simulations of Kumar {\em et al.} [Phys. Rev. E {\bf 90}, 023016 (2014)]. We also observe a dual scaling ( and ) for a limited range of parameters in stably stratified flow
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