Casimir energy for a three-piece relativistic string.
The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string consists of three pieces I, II, III of equal length, endowed with different tensions and mass densities, but adjusted in such a way that the velocity of sound always equals the velocity of light. In this sense the string forms a relativistic mechanical system. In the present paper the string is subjected to the following analysis: the dispersion function is derived and the zero-point energy is regularized using (i) a contour integration technique, being most convenient for the generalization of the theory to the case of finite temperatures, and (ii) the Hurwitz {zeta}-function technique, being usually the most compact method when the purpose is to calculate the Casimir energy numerically at {ital T}=0. The energy, being always nonpositive, is shown graphically in some cases as functions of the tension ratios I/II and II/III. The generalization to finite temperature theory is also given.

title: PREdicted the Higgs Mass
abstract: We like to investigate the idea of taking as non-accidental a remarkably good agreement of our (C.D. Froggatt and myself, and also with Yasutaka Takanishi) prediction of the Higgs mass. Our modernized most simple "multiple point principle" prediction $129.4 \pm 2$ GeV versus the recently observed $126 \pm 1$ GeV agrees well. 
The PREdicted Higgs mass is essentially the smallest value, that would not make our present vacuum unstable. 
There are two slightly different versions in as far as we can either use absolute stability by the alternative vacuum being required to have higher energy density than the present one or just metastability requiring that our vacuum should not have decayed in the early time just after big bang (or later if that should be easier). This is of course provided we suppose that the Standard Model would function almost all the way up to the scale relevant for the alternative vacuum (which as we shall see is close to the Planck energy scale for the Higgs field expectation value). 
The principle we used to our PREdiction were the requirement of degenerate vacua which we called "multiple point principle" and I shall seek to deliver some arguments that this MPP is "nice" to assume, i.e. it is likely to be true.

title: NEW BOUND STATES OF HEAVY QUARKS AT LHC AND TEVATRON
abstract: The present paper is based on the assumption that heavy quarks bound states exist in the Standard Model (SM). Considering New Bound States (NBS) of top–antitop quarks (named T-balls) we have shown that: (1) there exists the scalar 1S-bound state of ; (2) the forces which bind the top-quarks are very strong and almost completely compensate the mass of the twelve top–antitop-quarks in the scalar NBS; (3) such strong forces are produced by the Higgs–top-quarks interaction with a large value of the top-quark Yukawa coupling constant gt≃1. Theory also predicts the existence of the NBS , which is a color triplet and a fermion similar to the t'-quark of the fourth generation. We have also considered the "b-quark-replaced" NBS, estimated the masses of the lightest fermionic NBS: MNBS≳300 GeV, and discussed the larger masses of T-balls. We have developed a theory of the scalar T-ball's condensate and predicted the existence of three SM phases. Searching for heavy quark bound states at the Tevatron and LHC is discussed. We have constructed the possible form-factors of T-balls, and estimated the charge multiplicity coming from the T-ball's decays.

title: Dimension Four Wins the Same Game as the Standard Model Group
abstract: In a previous article Don Bennett and I looked for,found and proposed a game in which the Standard Model group S(U(2)XU(3)) gets singled out as the "winner". Here I propose to extend this "game" to construct a corresponding game between different potential dimensions for space time. The idea is to formulate how the same competition as the one between the potential gauge groups would run out, if restricted to the potential Lorentz or Poincare groups achievable for different dimensions of space time d. The remarkable point is that it is the experimental dimension of space time 4 which wins. So the same function defined over Lie groups seems to single out both the gauge group and the space time dimension in nature. This seems a rather strange coincidence unless there is really some similar physics behind.

title: Bosonization gauge symmetry

title: Casimir theory for the piecewise uniform string: Division into 2N pieces.
abstract: The Casimir energy for the transverse oscillations of a piecewise uniform string in Minkowski space is calculated. The string consists in general of 2[ital N] pieces of equal length, of alternating type I and type II material, endowed with different tensions [ital T][sub I], [ital T][sub II] and mass densities [rho][sub I], [rho][sub II] but adjusted in such a way that the velocity of sound always equals the velocity of light. This string model (with [ital N]=1) was introduced by the present authors in 1990. In the present paper, the governing equations are formulated in the case of arbitrary integers [ital N], although detailed calculations are restricted to the case [ital N]=2, i.e., a four-piece string. The Casimir energy is regularized using (i) the contour integration technique introduced by van Kampen, Nijboer, and Schram, and (ii) the Hurwitz [zeta]-function technique introduced by Li, Shi, and Zhang. The energy is found as a function of the tension ratio [ital x]=[ital T][sub I]/[ital T][sub II]. The finite temperature version of the theory is also given.

title: Relativistic Thomas-Fermi description of collective modes in droplets of nuclear matter.
abstract: Isoscalar collective modes in a relativistic meson-nucleon system are investigated in the framework of the time-dependent Thomas-Fermi method. The energies of the collective modes are determined by solving consistently the dispersion relations and the boundary conditions. The energy weighted sum rule satisfied by the models considered allows the identification of the giant resonances. The percentage of the energy weighted sum rule exhausted by the collective modes is in agreement with experimental data, but the agreement with the energy of the modes depends on the model considered.

title: QCD sum rules for Sigma hyperons in nuclear matter.
abstract: Within the finite-density QCD sum-rule approach we investigate the self-energies of [Sigma] hyperons propagating in nuclear matter from a correlator of [Sigma] interpolating fields evaluated in the nuclear matter ground state. We find that the Lorentz vector self-energy of the [Sigma] is similar to the nucleon vector self-energy. The magnitude of Lorentz scalar self-energy of the [Sigma] is also close to the corresponding value for nucleon; however, this prediction is sensitive to the strangeness content of the nucleon and to the assumed density dependence of certain four-quark condensate. The scalar and vector self-energies tend to cancel, but not completely. The implications for the couplings of [Sigma] to the scalar and vector mesons in nuclear matter and for the [Sigma] spin-orbit force in a finite nucleus are discussed.

title: Ghost poles in the nucleon propagator: Vertex corrections and form factors.
abstract: Vertex corrections are taken into account in the Schwinger-Dyson equation for the nucleon propagator in a relativistic field theory of fermions and mesons. The usual Hartree-Fock approximation for the nucleon propagator is known to produce the appearance of complex (ghost) poles which violate basic theorems of quantum field theory. In a theory with vector mesons there are vertex corrections that produce a strongly damped vertex function in the ultraviolet. One set of such corrections is known as the Sudakov form factor in quantum electrodynamics. When the Sudakov form factor generated by massive neutral vector mesons is included in the Hartree-Fock approximation to the Schwinger-Dyson equation for the nucleon propagator, the ghost poles disappear and consistency with basic requirements of quantum field theory is recovered.

title: Density matrix expansion in the Gaussian wave-packet phase space representation.
abstract: Using a coherent state phase space representation the distribution function corresponding to many-particle harmonic oscillator wave functions is obtained in explicit analytic form. A density matrix expansion is performed and found to produce good approximations to the exact results.

title: Collective modes in hot and dense nuclear matter.
abstract: The solutions of the Vlasov equation based on the Walecka model applied to hot and dense nuclear matter are obtained and discussed. It is observed that the effective mass of scalar and vector mesons raises only slightly with temperature for [ital T][lt]180 MeV while the effective nucleon mass decreases. The collective longitudinal modes are obtained and the coupling between them is studied through the energy-weighted sum rule. At finite temperature it is found that the zero sound mode emerges in the continuum of particle-hole excitations.