Unified theory of weak,strong, electromagnetic,and gravitational interactions

This study will attempt to construct a unified theory of weak, strong, electromagnetic, and gravitational interactions, based on a generalization of Weinberg-Salam theory [1] and a theory proposed previously by the present author [2, 3].Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 25–30, January, 1985.     

Unified theory of weak,strong, and electromagnetic interactions: Gauge transformation groups and gauge fields

An attempt is made to construct a unified theory of the weak, strong, and electro-magnetic interactions, based on a generalization of the Weinberg-Salam theory [1]. The groups of gauge transformations leaving the Lagrangian of the bispinor field invariant are discussed. It is shown that in order to preserve this invariance in transition from global to local transformations it is necessary to introduce seven gauge compensation fields.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 19–23, May, 1982.     

Quark strong interactions as a possible mechanism of symmetry breaking in weak interactions

A new mechanism for symmetry breaking is suggested which is connected with the negative contribution of quark loops to the vacuum energy and with the strong interactions of quarks with gluons diminishing this effect. The “gluon mechanism” of symmetry breaking makes it possible to estimate the mass of the heaviest quark (～ 60 GeV) and the mass of the Higgs boson (～ 7 GeV).     

Spontaneous symmetry breaking vacuum energy in cosmology

The gravitational effect of spontaneous symmetry breaking vacuum energy density is investigated by subtracting the flat space-time contribution from the energy in the curved space-time. We find that the remaining effective energy-momentum tensor is too small to cause the acceleration of the universe, although it satisfies the characteristics of dark energy. However, it could provide a promising explanation to the puzzle of why the gravitational effect produced by the huge symmetry breaking vacuum energy in the electroweak theory has not been observed, as it has a sufficiently small value (smaller than the observed cosmic energy density by a factor of 1032).     

Supersymmetry and weak,electromagnetic and strong interactions

We study a possible way to construct supersymmetric theories which could be considered as realistic, excepted that the problem of mass generation for electron, muon and quarks remains. There is a new class of leptons which includes charged ones, and a “photonic neutrino”. Spin $\text{1}\text{2}$-gluons and heavy spin 0- quarks are associated with ordinary vector gluons and quarks.     

A gauge theory of weak and electromagnetic interactions with spontaneous parity breaking

We present a unified gauge theory of weak and electromagnetic interactions in which parity is spontaneously broken together with gauge invariance, by the Higgs mechanism. The gauge group is SU(2) × U(1), and a heavy neutrino is associated with every charged lepton. After the breaking of the original parity-conserving theory, both a purely vector electromagnetic current and the usual V-A charged currents are obtained. Z is coupled to a vector electron current, and the model predicts equal $\text{ν}{}_{\mathrm{\mu }}\text{e}\text{and}\text{ν}{}_{\mathrm{\mu }}\text{e}$ cross sections. Extension to hadrons is made by introducing three charmed quarks p′, n′ and λ′ of the same charges as p, n and λ. All the experimental results $\text{(ν}{}_{\mathrm{\mu }}\text{e}\text{,}\text{ν}{}_{\mathrm{\mu }}\text{e}\text{,}\text{ν}{}_{\mathrm{<mtext>e</mtext>}}\text{e}$, ν_μ and $\text{ν}{}_{\mathrm{\mu }}$ hadron scatterings) are compatible with a value of sin²θ_W of order 0.4.     

Spontaneous symmetry breaking in the presence of strong fields

We analyse the properties of spontaneous symmetry breaking in the presence of external sources, concentrating on the question whether these sources can lead to a change of the vacuum expectation value of the Higgs field. We discuss in particular how the meaning of the Higgs-Kibble mechanisms is modified by such a vacuum change. The consequences of the presence of a strong electric charge are investigated in the framework of the Glashow-Salam-Weinberg model. Finally we discuss the possibility of actually observing this process.     

Spontaneous symmetry breaking of affine field theory

It is possible to construct non-Abelian field theories by gauging Kac-Moody algebras. Here we discuss the spontaneous symmetry breaking of such theories via the Higgs mechanism. If the Higgs particle lies in the Cartan subalgebra of the Kac-Moody algebra, the previously massless vectors acquire a mass spectrum that is linear in the Kac-Moody index and has additional fine structure depending on the associated Lie algebra.     

Spontaneous symmetry breaking in an electromagnetic field-insulator system

Conditions for spontaneous symmetry breaking and generation of quasi-particles in an insulator through which an electromagnetic field propagates are considered. The order parameter of the system is determined. The mass spectrum of the quasi-particles is found in the cases of linear and nonlinear propagation through the medium with and without interfaces.     

Spontaneous symmetry breaking in Reggeon field theory

We consider a Reggeon field theory when the bare or input Regge intercept α_O is greater than one. This corresponds to a negative mass squared term in conventional field theory and allows for a spontaneous symmetry break-down. A theory with Regge intercept at one emerges, restoring the Froissart bound by t-channel considerations alone. In our elementary example the resulting bare trajectory is nearly of the square root variety familiar from s-channel eikonalization of models which violate the Froissart bound.     

Unified theory of weak and electromagnetic interactions with ΔI = 12 rule

An SU(2) ? U (1) gauge theory of weak and electromagnetic interactions satisfying the $\text{ΔI =}\text{1}\text{2}$ rule is proposed, which has the following characteristic: (i) A neutral boson Z, coupling to the neutral strangeness-changing current is used in addition to the usual charged ones, to give the $\text{ΔI =}\text{1}\text{2}$ rule in the standard fashion. Couplings are chosen such that the Z decouples from the observed leptons, in order to agree with experiment. (ii) It is assumed that the |ΔY| = 2 transitions due to neutral vector-boson exchange cancel the |ΔY| = 2 contributions due to charged vector-boson exchange. This constraints the Cabibbo angle in a manner consistent with experiment.     

Spontaneous violation of CP symmetry in the strong interactions

Some time ago Dashen [Phys. Rev. D 3, 1879 (1971)] pointed out that spontaneous CP violation can occur in the strong interactions. I show how a simple effective Lagrangian exposes the remarkably large domain of quark mass parameters for which this occurs. I close with some warnings for lattice simulations.     

Lepton and quark symmetry in weak and electromagnetic interactions

We discuss a three-quark model motivated by lepton-quark analogy. An advantage of this model is that there is no hypercharge-changing neutral current, but Cabibbo suppression has to be explained by dynamical reason.     

Aspects of the grand unification of strong,weak and electromagnetic interactions

We study issues arising in attempts to unify strong and other elementary particle interactions. The proton lifetime is estimated in theories with second-order baryon number violation, and found to be O(10³–10⁴) longer than naive dimensional counting suggested. The renormalization of quark and lepton masses below the grand unification mass is considered in some detail. Application is made to the SU(5) model of Georgi and Glashow, and we find strange and bottom quark masses:

$\text{m}{}_{\mathrm{<mtext>s</mtext>}}\text{≈ 0.4–0.5}\text{GeV}\text{, m}{}_{\mathrm{<mtext>b</mtext>}}\text{≈ 4.8–5.6}\text{GeV}$

. Inputs are the values of the strong interactions coupling constant favoured by electroproduction and charmonium analyses, and the observed muon and heavy lepton (τ) masses. These estimates are substantially increased if there are more than six flavours of quark. Symmetry breaking in the SU(5) model is studied, including radiative corrections to the effective Higgs potential.     

Unified geometric theory of electromagnetic and gravitational interactions

A geometric unification of the electromagnetic and gravitational fields is presented. The unified field is described by a linear connection on the space-time. Field equations for the unified field are equivalent to Einstein-Maxwell equations. Field equations for matter interacting with the unified field are the usual ones. The interaction of the unified field with a charged scalar field is studied in detail.This work has been written under the financial support of: Gruppo Nazionale per la Fisica Matematica of the Italian National Research Council.     

Spontaneous symmetry breaking without potential in a scalar-tensor theory of gravity

Scale invariance and internal symmetry in a new scalar-tensor theory of gravity are shown to break down spontaneously, without the employment of a potential in the lagrangian. When the symmetry becomes local, the intermediate bosons acquire masses of the order of the Planck mass, as expected. It appears that these results may also be of relevance to the missing-mass problem in cosmology.     

Spontaneous symmetry breaking and fermion chirality in higher-dimensional gauge theory

The number of chiral fermions may change in the course of spontaneous symmetry breaking. We discuss solutions of a six-dimensional Einstein-Yang-Mills theory based on SO(12). In the resulting effective four-dimensional theory they can be interpreted as spontaneous breaking of a gauge group SO(10) to $\text{H}\text{=}\text{SU}\text{(3)}{}_{\mathrm{<mtext>C</mtext>}}\text{×}\text{SU}\text{(2)}{}_{\mathrm{<mtext>L</mtext>}}\text{×}\text{U}\text{(1)}{}_{\mathrm{<mtext>R</mtext>}}\text{×}\text{U}\text{(10)}{}_{\mathrm{B?L}}$. For all solutions, the fermions which are chiral with respect to $\text{H}$ form standard generations. However, the number of generations for the solutions with broken SO(10) may be different compared to the symmetric solutions. All solutions considered here exhibit a local generation group SU(2)_G × U(1)_G. For the solutions with broken SO(10) symmetry, the leptons and quarks within one generation transform differently with respect to SU(2)_G × U(1)_G. Spontaneous symmetry breaking also modifies the SO(10) relations among Yukawa couplings. All this has important consequences for possible fermion mass relations obtained from higher-dimensional theories.