arXiv subjects
Publications and source records attributed to L. V. Laperashvili.
A talk presents a new cosmological model with superstring-inspired $E_6$ unification, broken at the early stage of the Universe into $SO(10)\times U(1)_Z$ -- into the ordinary world, and $SU(6)'\times SU(2)'_θ$ -- into the hidden world.
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-anti-top quarks (named T-balls) we have shown that: 1) there exists the scalar 1S--bound state of $6t+6\bar t$; 2) the forces which bind the top-quarks are very strong and almost completely compensate the mass of the twelve top-anti-top-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 $g_t\simeq 1$. Theory also predicts the existence of the NBS $6t + 5\bar t$, 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: $M_{NBS}\gtrsim 300$ 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.
We construct a new cosmological model considering the superstring-inspired E_6 unification in the 4-dimensional space at the early stage of the Universe. We develop a concept of parallel existence in Nature of the ordinary and shadow worlds with different cosmological evolutions.
We have developed a concept of parallel existence of the ordinary (O) and hidden (H) worlds with a superstring-inspired E_6 unification, broken at the early stage of the Universe into SO(10) X U(1) - in the O-world, and SU(6)' X SU(2)' - in the H-world. As a result, we have obtained in the hidden world the low energy symmetry group G'_SM X SU(2)'_θ, instead of the Standard Model group G_SM. The additional non-Abelian SU(2)'_θgroup with massless gauge fields, "thetons", is responsible for the dark energy. We present a baryogenesis mechanism with the B-L asymmetry produced by the conversion of ordinary leptons into particles of the hidden sector.
We have developed a concept of parallel existence of the ordinary (O) and mirror (M), or shadow (Sh) worlds. In the first part of the paper we consider a mirror world with broken mirror parity and the breaking $E_6\to SU(3)^3$ in both worlds. We show that in this case the evolutions of coupling constants in the O- and M-worlds are not identical, having different parameters for similar evolutions. $E_6$ unification, inspired by superstring theory, restores the broken mirror parity at the scale $\sim 10^{18}$ GeV. With the aim to explain the tiny cosmological constant, in the second part we consider the breakings: $E_6 \to SO(10)\times U(1)_Z$ -- in the O-world, and $E'_6 \to SU(6)'\times SU(2)'_θ$ -- in the Sh-world. We assume the existence of shadow $θ$-particles and the low energy symmetry group $SU(3)'_C\times SU(2)'_L\times SU(2)'_θ\times U(1)'_Y$ in the shadow world, instead of the Standard Model. The additional non-Abelian $SU(2)'_θ$ group with massless gauge fields, "theton", has a macroscopic confinement radius $1/Λ'_θ$. The assumption that $Λ'_θ\approx 2.3\cdot 10^{-3}$ eV explains the tiny cosmological constant given by recent astrophysical measurements. In this way the present work opens the possibility to specify a grand unification group, such as $E_6$, from Cosmology.
We have developed a concept of parallel existence of the ordinary (O) and mirror (M), or shadow (Sh) worlds. E_6 unification, inspired by superstring theory, restores the broken mirror parity at the scale ~ 10^18 GeV. With the aim to explain the tiny cosmological constant, we consider the breakings: E_6 -> SO(10) X U(1)_Z - in the O-world, and E'_6 -> SU(6)' X SU(2)'_θ- in the Sh-world. We assume the existence of shadow θ-particles and the low energy symmetry group SU(3)'_C X SU(2)'_L X SU(2)'_θX U(1)'_Y in the shadow world, instead of the Standard Model. The additional non-Abelian SU(2)'_θgroup with massless gauge fields, "thetons", has a macroscopic confinement radius 1/Λ'_θ. The assumption that Λ'_θ\approx 2.3 X 10^-3 eV explains the tiny cosmological constant given by recent astrophysical measurements. Searching for the Dark Matter (DM), it is possible to observe and study various signals of theta-particles.
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-anti-top quarks (named T-balls) we have shown that: 1) there exists the scalar 1S-bound state of 6t+6\bar t; 2) the forces which bind the top-quarks are very strong and almost completely compensate the mass of the twelve top-anti-top-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 g_t\simeq 1. Theory also predicts the existence of the NBS 6t + 5\bar t, 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. We have estimated the masses of the lightest fermionic NBS: M_{NBS}\gtrsim 300 GeV, and discussed the larger masses of T-balls. Searching for heavy quarks bound states at the Tevatron and LHC is discussed.
The present talk is based on the assumption that New Bound States (NBSs) of top-anti-top quarks (named T-balls) exist in the Standard Model (SM): a) there exists the scalar 1S - bound state of 6t+6\bar t - the bound state of 6 top-quarks with their 6 anti-top-quarks; b) the forces which bind these top-quarks are very strong and almost completely compensate the mass of the 12 top-anti-top-quarks forming this bound state; c) such strong forces are produced by the interactions of top-quarks via the virtual exchange of the scalar Higgs bosons having the large value of the top-quark Yukawa coupling constant g_t\simeq 1. Theory also predicts the existence of the NBS 6t + 5\bar t, which is a color triplet and a fermion similar to the t'-quark of the fourth generation. We have also considered "b-replaced" NBSs: n_b b + (6t + 6\bar t - n_b t) and n'_b b + (6t + 5\bar t - n'_b t), etc. We have estimated the masses of the lightest "b-replaced" NBS: M_{NBS}\simeq (300 - 400) GeV, and discussed the larger masses of the NBSs. We have developed a theory of the scalar T-ball's condensate, and predicted the existence of the three SM phases, calculating the top-quark Yukawa coupling constant at the border of two phases (with T-ball's condensate and without it) equal to: g_t \approx 1. The searching for the Higgs boson H and T-balls at the Tevatron and LHC is discussed.
In the present paper we have developed a concept of parallel ordinary (O) and mirror (M) worlds. We have shown that in the case of a broken mirror parity (MP), the evolutions of fine structure constants in the O- and M-worlds are not identical. It is assumed that E_6-unification inspired by superstring theory restores the broken MP at the scale \sim 10^{18} GeV, what unavoidably leads to the different E_6-breakdowns at this scale: E_6 \to SO(10)\times U(1)_Z - in the O-world, and E'_6 \to SU(6)'\times SU(2)'_Z - in the M-world. Considering only asymptotically free theories, we have presented the running of all the inverse gauge constants α_i^{-1} in the one-loop approximation. Then a `quintessence' scenario is discussed for our model of accelerating universe. Such a scenario is related with an axion (`acceleron') of a new gauge group SU(2)'_Z which has a coupling constant g_Z extremely growing at the scale Λ_Z\sim 10^{-3} eV.
In the present talk we have developed a concept of parallel ordinary (O) and mirror (M) worlds. We have shown that in the case of a broken mirror parity (MP), the evolutions of fine structure constants in the O- and M-worlds are not identical. It is assumed that E_6-unification inspired by superstring theory restores the broken MP at the scale \sim 10^{18} GeV, what unavoidably leads to the different E_6-breakdowns at this scale: E_6 \to SO(10)\times U(1)_Z - in the O-world, and E'_6 \to SU(6)'\times SU(2)'_Z - in the M-world. Considering only asymptotically free theories, we have presented the running of all the inverse gauge constants α_i^{-1} in the one-loop approximation. Then a `quintessence' scenario is discussed for the model of accelerating universe. Such a scenario is related with an axion (`acceleron') of a new gauge group SU(2)'_Z which has a coupling constant g_Z extremely growing at the scale Λ_Z\sim 10^{-3} eV.
Contents: 1. Finestructure Constants at the Planck Scale from Multiple Point Principle (D.L.Bennett, L.V. Laperashvili and H.B. Nielsen) 2. Random Dynamics in Starting Levels (D. Bennett, A. Kleppe in H.B. Nielsen), 3. Families of Quarks and Leptons and Their Mass Matrices from the Approach Unifying Spins and Charges: Prediction for the Fourth Family (G. Bregar, M. Breskvar, D. Lukman and N.S. Mankoc Borstnik) 4. Fermion-Fermion and Boson-Boson Amplitudes: Surprising Similarities (V.V. Dvoeglazov) 5. Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization (V.V. Dvoeglazov) 6. Quantum Gates and Quantum Algorithms with Clifford Algebra Technique (M. Gregoric and N.S. Mankoc Borstnik) 7. From the Starting Lagrange Density to the Effective Fields for Spinors in the Approach Unifying Spins and Charges (N.S. Mankoc Borstnik) 8. New Generations of Particles in the Universe (M.Yu. Khlopov) 9. A Subversive View of Modern 'Physics' (R. Mirman) 10. Mass Spectra are Inherent in Geometry: an Analysis Using the Only Conformal Group Allowing a Universe (R. Mirman) 11. Complex Action, Prearrangement for Future and Higgs Broadening (H.B. Nielsen and M. Ninomiya) 12. Discussion on Dark Matter Candidates from the Approach Unifying Spins and Charges (G. Bregar and N.S. Mankoc Borstnik) 13. Discussion Section Summary on Dark Matter Particle Properties (M.Yu. Khlopov and N.S. Mankoc Borstnik)
Contents: 1. Child Universes in the Laboratory (S. Ansoldi and E.I. Guendelman) 2. Relation between Finestructure Constants at the Planck Scale from Multiple Point Principle (D.L. Bennett, L.V. Laperashvili and H.B. Nielsen) 3. On the Origin of Families of Fermions and Their Mass Matrices -- Approximate Analyses of Properties of Four Families Within Approach Unifying Spins and Charges (M. Breskvar, D. Lukman and N.S. Mankoc Borstnik) 4. Cosmoparticle Physics: Cross-disciplinary Study of Physics Beyond the Standard Model (M.Yu. Khlopov) 5. Discussion Section on 4th Generation (M.Yu. Khlopov) 6. Involution Requirement on a Boundary Makes Massless Fermions Compactified on a Finite Flat Disk Mass Protected (N.S. Mankoc Borstnik and H.B. Nielsen) 7. How Can Group Theory be Generalized so Perhaps Providing Further Information About Our Universe? (R. Mirman) 8. FutureDependent Initial Conditions from Imaginary Part in Lagrangian (H.B. Nielsen and M. Ninomiya) 9. Coupling Self-tuning to Critical Lines From Highly Compact Extra Dimensions (K. Petrov)
In the present paper we investigate the phase transition "Coulomb--confinement" in the Higgs model of abelian scalar dyons -- particles having both, electric $e$ and magnetic $g$, charges. It is shown that by dual symmetry this theory is equivalent to scalar fields with the effective squared electric charge e^{*2}=e^2+g^2. But the Dirac relation distinguishes the electric and magnetic charges of dyons. The following phase transition couplings are obtained in the one--loop approximation: α_{crit}=e^2_{crit}/4π\approx 0.19, \tildeα_{crit}=g^2_{crit}/4π\approx 1.29 and α^*_{crit}\approx 1.48.
The quantum Yang-Mills theory, describing a system of fields with non-dual (chromo-electric g) and dual (chromo-magnetic \tilde g) charges and revealing the generalized dual symmetry, is developed by analogy with the Zwanziger formalism in QED. The renormalization group equations (RGEs) for pure nonabelian theories are analysed for both constants, α= g^2 / 4πand \tildeα= {\tilde g}^2 / 4π. The pure SU(3) \times \widetilde{SU(3)} gauge theory is investigated as an example. We consider not only monopoles, but also dyons. The behaviour of the total SU(3) β-function is investigated in the whole region of α\equiv α_s: 0 \le α< \infty. It is shown that this β-function is antisymmetric under the interchange α\longleftrightarrow 1/αand is given by the well-known perturbative expansion not only for α\ll 1, but also for α\gg 1. Using an idea of the Maximal Abelian Projection by t' Hooft, we considered the formation of strings - the ANO flux tubes - in the Higgs model of scalar monopole (or dyon) fields. In this model we have constructed the behaviour of the β-function in the vicinity of the point α= 1, where it acquires a zero value. Considering the phase transition points at α\approx 0.4 and α\approx 2.5, we give the explanation of the freezing of α_s. The evolution of α_s^{-1}(μ) and the behaviour of V_{eff}(μ) are investigated for both, perturbative and non-perturbative regions of QCD. It was shown that the effective potential has a minimum, ensured by the dual sector of QCD. The gluon condensate F^2_0, corresponding to this minimum, is predicted: F^2_0 \approx 0.15 GeV^4, in agreement with the well-known results.
We investigate the requirement of the existence of two degenerate vacua of the effective potential as a function of the Weinberg-Salam Higgs scalar field norm, as suggested by the multiple point principle, in an extension of the Standard Model including see-saw scale physics. Results are presented from an investigation of an extension of the Standard Model to the gauge symmetry group SU(3)_C\times SU(2)_L\times U(1)'\times \tilde U(1), where two groups U(1)' and \tilde U(1) originate at the see-saw scale M_{SS}, when heavy (right-handed) neutrinos appear. The consequent unification of the group SU(3)_C\times SU(2)_L\times U(1)' into the flipped SU(5) at the GUT scale leads to the group SU(5)\times \tilde U(1). We assume the position of the second minimum of the effective potential coincides with the fundamental scale, here taken to be the GUT scale. We solve the renormalization group equations in the one-loop approximation and obtain a top-quark mass of 171\pm 3 GeV and a Higgs mass of 129\pm 4 GeV, in the case when the Yukawa couplings of the neutrinos are less than half that of the top quark at the GUT scale.
In the present talk we present an investigation of nonabelian SU(N) gauge theories, describing a system of fields with non--dual g and dual \tilde g charges and revealing the generalized dual symmetry. The Zwanziger type action is suggested. The renormalization group equations for pure nonabelian theories, in particular for pure SU(3)\times\widetilde{SU(3)} gauge theory (as an example) are analysed. We consider not only monopoles, but also dyons. The behaviour of the QCD total beta--function is investigated. It was shown that this beta--function is antisymmetric under the interchange α\leftrightarrow\frac 1α(here α\equivα_s), and has zero ("fixed point") at α= 1. Monopoles, or dyons, are responsible for the phase transition. Considering critical points at α_1\approx 0.4 and α_2\approx 2.5, we give an explanation of the freezing of α_s.
This review is devoted to the Multiple Point Principle (MPP), according to which several vacuum states with the same energy density exist in Nature. The MPP is implemented to the Standard Model (SM), Family replicated gauge group model (FRGGM) and phase transitions in gauge theories with/without monopoles. Lattice gauge theories are reviewed. The lattice results for critical coupling constants are compared with those of the Higgs Monopole Model (HMM), in which the lattice artifact monopoles are replaced by the point-like Higgs scalar particles with a magnetic charge. Considering our (3+1)-dimensional space-time as discrete, for example, as a lattice with a parameter a=λ_P, equal to the Planck length, we have investigated the additional contributions of monopoles to beta-functions of renormalization group equations in the FRGGM extended beyond the SM at high (the Planck scale) energies. We have reviewed that, in contrast to the Anti-grand unified theory (AGUT), there exists a possibility of unification of all gauge interactions (including gravity) near the Planck scale due to monopoles. The unifications [SU(5)]^3 and [SO(10)]^3 at the GUT-scale \sim 10^{18} GeV are briefly discussed.
According to the multiple point principle, Nature adjusts coupling parameters so that many vacuum states exist and each has approximately zero vacuum energy density. We apply this principle to the general two-Higgs doublet extension of the Standard Model, by requiring the existence of a large set of degenerate vacua at an energy scale much higher than the presently realized electroweak scale vacuum. It turns out that two scenarios are allowed. In the first scenario, a CP conserving Higgs potential and the absence of flavour changing neutral currents are obtained without fine-tuning. In the second scenario, the photon becomes massive in the high scale vacua. We briefly discuss the resulting phenomenology.