A unified conformal model for fundamental interactions without dynamical Higgs field

Pawlowski, Marek; Rączka, R.

doi:10.1007/bf02148570

Cited by 38 publications

(34 citation statements)

References 18 publications

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“…Therefore, the Higgs-PCT field, in this model, has no particle-like excitations (as it was predicted in paper [4]). …”

Section: Cosmic Higgs Vacuumsupporting

confidence: 58%

“…The next essential step on the way of decreasing the number of dimensional parameters in the Lagrangian of the unified theory of GR and SM was made in paper [4], where the conformal invariant unified theory was considered without any dimensional parameters. The theory represents the standard model of strong and electro-weak interactions in which gravitation and the modulus of the Higgs scalar field are described by the Penrose-Chernikov-Tagirov Lagrangian [5], which has no any dimensional parameters.…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, we investigate the dynamics of a scalar field in the conformal unified theory (CUT) GR and SM [4,6]. We use the Dirac-ADM parametrization of the metric [7,8,9] and the Lichnerowicz conformal invariant variables [10] constructed with the help of the space scale component of the initial metric.…”

Section: Introductionmentioning

confidence: 99%

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Conformal unification of general relativity and standard model

Pawlowski¹,

Papoyan²,

Первушин³

et al. 1998

Physics Letters B

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The unification of general relativity and standard model for strong and electroweak interactions is considered on the base of the conformal symmetry principle. The Penrose-Chernikov-Tagirov Lagrangian is used to describe the Higgs scalar field modulus and gravitation. We show that the procedure of the Hamiltonian reduction converts the homogeneous part of the Higgs field into the dynamical parameter of evolution of the equivalent reduced system. The equation of dynamics of the "proper time" of an observer with respect to the evolution parameter reproduces the Friedmann-like equation, which reflects the cosmological evolution of elementary particle masses. The value of the Higgs field is determined, at the present time, by the values of mean density of matter and the Hubble parameter in satisfactory agreement with the data of cosmological observations.

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“…Therefore, the Higgs-PCT field, in this model, has no particle-like excitations (as it was predicted in paper [4]). …”

Section: Cosmic Higgs Vacuumsupporting

confidence: 58%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Conformal unification of general relativity and standard model

Pawlowski¹,

Papoyan²,

Первушин³

et al. 1998

Physics Letters B

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show abstract

“…Similar restriction was appeared in the unified conformal model for fundamental interactions [14] in the case when the length scale is defined in such a way that elementary particle masses are the same for all times and in all places. For the real fields the form (8) is written as r 2 (1 +ψ 2 ) = R 2 , whereψ 2 = ψ 2…”

Section: Higgsless Electroweak Model With 3d Spherical Matter Spacementioning

confidence: 70%

“…The matter fields φ appear in Lagrangian (14) only in mass terms. With the use of (7) and (9), these mass terms are rewritten in the form Its second order terms h e R e † r e − l + e − † l e r provide the electron mass m e = h e R, and neutrino remain massless.…”

Section: Higgsless Electroweak Model With 3d Spherical Matter Spacementioning

confidence: 99%

Higgsless electroweak model due to the spherical geometry

Gromov

2008

J. Phys.: Conf. Ser.

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A new formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The free Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full Higgsless Lagrangian of the model, whose second order terms reproduce the same fields with the same masses as the Standard Electroweak Model. The vector bosons and electron masses are generated automatically, so there is no need in special mechanism.

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The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics

Scholz

2018

Einstein Studies

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Weyl's original scale geometry of 1918 ("purely infinitesimal geometry") was withdrawn by its author from physical theorizing in the early 1920s. It had a comeback in the last third of the 20th century in different contexts: scalar tensor theories of gravity, foundations of gravity, foundations of quantum mechanics, elementary particle physics, and cosmology. It seems that Weyl geometry continues to offer an open research potential for the foundations of physics even after the turn to the new millennium.1 Such an attempt seemed to be supported experimentally by the phenomenon of (Bjorken) scaling in deep inelastic electron-proton scattering experiments. The latter indicated, at first glance, an active scaling symmetry of mass/energy in high energy physics; but it turned out to hold only approximatively and was of restricted range. 19 See the discussion in (Quiros et al., 2013b) and (Scholz, 2017). 20 (Weyl, 1920) 21 Weyl's note (Weyl, 1921) became better known by his calculation and discussion of projective and conformal curvature tensors, which followed.22 See (Trautman, 2012).

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A unified conformal model for fundamental interactions without dynamical Higgs field

Cited by 38 publications

References 18 publications

Conformal unification of general relativity and standard model

Conformal unification of general relativity and standard model

Higgsless electroweak model due to the spherical geometry

The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics

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