arXiv subjects
Publications and source records attributed to Peter Minkowski.
The present lecture is devoted to embedding the approximate genuine harmonic oscillator structure of valence q qbar mesons and in more detail the q q q configurations for up,down,strange - flavored baryons in Q C D for three light flavors of quark.
The recent measurements of reactor antinu_{e} disappearance and its interpretation in terms of the three light neutrino mixing angle {theta}_13 by the DAYA BAY \rightarrow {theta}_13 = (8.83 + 0.81 - 0.88) \circ and RENO \rightarrow {theta}_{13} = (9.36 + 0.88 - 0.96) \circ collaborations, gave rise to this treatise, upon the hypothetical substitution {theta}_13 \rightarrow \vartheta_9 = 9 \circ. The latter angle (\vartheta_9 = 9\circ) is related to interesting algebraic properties of its periodic functions, which in turn have their origin in the discrete symmetry groups S5 = Z2 \times A5 and A5, the point groups associated with the regular d = 3 'Platonic bodies' : dodecahedron and icosahedron. How these discrete groups may be related to dynamical symmetries of mass and mixing of light neutrino flavors is left open.
The regularities at large distances of complete gauge invariance in QCD are shown to bear nontrivial consequences for the selection among inequivalent representations of canonical commutation (anticommutation) rules for gauge boson (quark) fields. The trace anomaly forces a modification of the gauge boson Lagrangean and by this of the entire associated canonical structure.
The existence of glueballs within QCD is uncontroversial but their experimental verification is still in doubt. We discuss the new possibilities for a search of glueballs as the leading object in gluon jets at the LHC. We summarize previous results from LEP which demonstrate a significant excess rate of electrically neutral leading clusters in comparison with MC models.
In this paper we discuss light neutrino dipole moments, computed in the neutrino-mass extended standard model (SM), as a possible source for neutrino condensates which may cause cosmological constant observed today.
This work aims to give some answers to questions raised at QCD2008 in Montpellier, July 2008.
In the following few pages an account is given of a theme, which I began in 1966 and followed to the present.
We summarize some persistent problems in scalar spectroscopy and discuss what could be learned here from charmless B-decays. Recent experimental results are discussed in comparison with theoretical expectations: a simple model based on penguin dominance leads to various symmetry relations in good agreement with recent data; a factorisation approach yields absolute predictions of rates. For more details, see Ref. 1.
The structure of super Yang_Mills theories is discussed in its relation to QCD with one flavor of (tricolored) quark
Three topics are discussed : 1 Base fermions and scalars in SO10, 2 Neutrino 'mass from mixing' in vacuo and in matter, 3 Some perspectives .
The recent observations of f_0(980) in charmless B-decays motivate further studies of scalar particle and glueball production in these processes. Amplitudes for charmless 2-body B decays involving the members of the scalar nonet are presented based on the symmetries of the dominant penguin contribution. Different scenarios for the lightest scalar nonet are investigated in view of the presently available data. We describe the evidence from B-decays for f_0(1500) with a flavour octet like mixing and the hints towards the members of the q qbar nonet of lowest mass. There is further support for the hypothesis of a broad 0^{++} glueball acting as coherent background especially in B -> K Kbar K. The estimated B decay rates into gluonic mesons represent a sizable fraction of the theoretically derived decay rate for b -> sg.
In this paper we obtain a bound $Λ_{\rm NC} < 150$ TeV on the scale of space-time noncommutativity considering photon-neutrino interactions. We compute "star-dipole moments" and "star-charge radii" originating from space-time noncommutativity and compare them with the dipole moments calculated in the neutrino-mass extended standard model (SM). The computation depends on the nature of the neutrinos, Dirac versus Majorana, their mass and the energy scale. We focus on Majorana neutrinos. The "star-charge radius" is found to be $r^* = \sqrt{|< r^2_ν>_{\rm NC}|} =|3\sum_{i=1}^3 (θ^{0i})^2|^{1/4} < 1.6 \times 10^{-19}$ cm at $Λ_{\rm NC} = 150$ TeV.
The original aim of this work, was to give a {\it brief} review of gluonic mesons, to be searched for in an experiment dedicated to central production of a relatively low mass hadronic system, whereby rapidity gaps are possible to impose, requiring initial hadron beams of sufficient energy and intensity. Sections 1 - 4 are devoted to this aim. The various theoretical ingrediants, covering several decades of thinking by many, including the author, are contained in 5 appendices, dedicated to specifically gluonic binaries within QCD and their underlying Yang-Mills base structure.
The existence of glueballs is predicted in QCD, the lightest one with quantum numbers J^{PC}=0^{++}, but different calculations do not well agree on its mass in the range below 1800 MeV. Several theoretical schemes have been proposed to cope with the experimental data which often have considerable uncertainties. Further experimental studies of the scalar meson sector are therefore important and we discuss recent proposals to study leading clusters in gluon jets and charmless B-decays to serve this purpose.
We discuss the recent observation of f_0(980) in charmless B-decays and in gluon jets which hints toward a gluonic coupling of this meson similar to eta'. Further predictions on B-decays into scalar particles are presented. Charmless B decays also show a broad K Kbar (and possibly pi pi) S-wave enhancement which we relate to the 0^{++} glueball. These gluonic mesons represent a sizable fraction of the theoretically derived decay rate for b -> sg.
The hypothesis that there exists a nonet of scalars mainly composed of a valence quark-antiquark pair and mixed according to near singlet-octet separation : f_0 (980) singlet, a_0^{+,0,-} (980), K^{* +,0}_0 (1430), \bar K^{* -,0}_0 (1430), f_0 (1500) octet, is put to further tests from the three body decays D^{\pm}, D_{s}^{\pm} -> PS^{\pm} pi^+ pi^- with PS^{\pm} = pi^{\pm}, K^{\pm}. The analysis of decay phases supports the singlet nature of f_0 (980).
In our phenomenological analysis of the spectroscopy of light scalar mesons we do not find compelling evidence for the existence of the low mass κ(900) or σ(600) states nor for f_0(1370) as single resonance. If the f_0(980) and and f_0(1500) are taken as members of the q qbar nonet there remains a broad object formed by f_0(400-1200) and f_0(1370) which is a glueball candidate gb(1000).
The possibility that non-supersymmetric quiver theories may have a renormalization-group fixed point at which there is conformal invariance requires non-perturbative information.