A superspace origin for an extended Gauge model

Doria, Celso Melchiades; Doria, R. M.; Carvalho, F.

doi:10.1007/bf03054182

Cited by 3 publications

(10 citation statements)

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“…Three performances classify the symmetry behavior. They are the phase factorâĂŞgauge transformation [31,32,33], spontaneous symmetry breaking [13,14,15] and the symmetry of difference [34,35]. Another possibility is the dynamical symmetry breaking [16].…”

Section: Resultsmentioning

confidence: 99%

“…Concluding, a new opportunity to do physics is through antireductionistic gauge fields [25,34,42]. Instead of looking for new space and geometry categories as extra dimensions [43], supersymmetry [10], quantum gravity [44] or even through SU (5) grand unification [45], understand physical laws through the wholeness principle.…”

Section: Resultsmentioning

confidence: 99%

“…Its symmetry of difference offers an alternative to the spontaneous symmetry breaking [13,14,15] and dynamical symmetry breaking [16]. For this new symmetry approach to happen, different origins based on Kaluza-Klein [17,18], fibre bundle [19], supersymmetry [20,21,22], -model [23], BRST and anti-BRST algorithm [24,25] have been studied in order to prove on eq. (1) existence.…”

Section: Introductionmentioning

confidence: 99%

“…Geometrically, the origin of the potential fields can be treated back to the vielbein, spin-connection and potential fields of higherdimensional gravity-matter coupled theory spontaneously compactified for an internal space with torsion [17,18,19]. Also by relaxing supersymmetry constraints [20,21,22]. Thus the most general expression for the Lagrangian is L = tr(Z µ⌫ Z µ⌫ ) + tr(z µ⌫ z µ⌫ ) + tr(Z µ⌫ z µ⌫ ) + ⌘ tr(Z µ⌫Z µ⌫ )…”

mentioning

confidence: 99%

“…Also by relaxing supersymmetry constraints [20,21,22]. Thus the most general expression for the Lagrangian is…”

mentioning

confidence: 99%

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Yang-Mills Families

Doria¹,

Machado

2017

JAP

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The Yang-Mills theory structure is based on group theory. It rules the symmetry relationship where the number of potential fields transforming under a same group must be equal to the number of group generators. It defines the group valued expression from where the corresponding non-abelian symmetry properties are derived. Nevertheless based on different origins as Kaluza-Klein, fibre bundles, supersymmetry, s-model , BRST and anti-BRST algorithm, counting degrees of freedom leads to a Yang-Mills extension under the existence of different potential fields rotating under a same single group. They establish for SU(N) the relationship where and is a flavor index, . Physically, it says that different Yang-Mills families can share a common symmetry group. They develop a whole non-abelian gauge theory. The effort in this work is to explore such non-abelian extension. First, to build up it on the so-called constructor basis where gauge symmetry is more available for expressing the corresponding fields strengths, Lagrangian and classical equations. After that, given that the physical fields are those associated to the poles of two-point Green functions, one derives the physical Lagrangian L written in the physical basis . A new physical Lagrangian associated to symmetry is generated. The meaning of Yang-Mills families appears. A symmetry of difference is realized. Where every quanta is distinguished from each other. It yields a quanta diversity associated to corresponding Yang-Mills families. There are N-spin 1 and N-spin 0 quanta separated by different quantum numbers through a whole N-dynamics. An extension to QCD becomes possible.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

“…Also by relaxing supersymmetry constraints [20,21,22]. Thus the most general expression for the Lagrangian is…”

mentioning

confidence: 99%

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Yang-Mills Families

Doria¹,

Machado

2017

JAP

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Non-Abelian Constructivist Lagrangian

Chauca,

Doria

2023

JAP

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A whole Yang-Mills symmetry is proposed. A grouping physics is constituted. It consists in inserting a given Yang-Mills field Aaμ in a fields set {Aa μI } constituted by other fields families, I = 1, . . . , N. Each field becomes part of a whole. A set action physics happens preserving the Yang-Mills symmetry. However the usual properties of an isolated field are extended to antireductionist properties. An associative physics is formed. A Yang-Mills whole quantum system is constituted. A whole Yang-Mills physics isobtained. The quantum corresponding to a specific Aa μI field inserted in a whole develops features depending on thefields set {Aa μI } associativity. Properties established from a so-called constructivist gauge theory are identified. Usual YM interactions are enlarged to YM interrelationships. Classical equations are studied under set action. A Yang-Mills whole unity is constituted by a constructivist Lagrangian. The reductionist approach substituted by constructivism. Physics under set transformations. A cause and effect relationship is expressed based on whole unity. The whole is that moves to future. Minimal action principle, Noether theorem, Bianchi identities are derived. A fields set with diversity, interdependence, nonlinearity, chance is expressed.

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A New Model for a Non-Linear Electromagnetic Model with Self-Interacting Photons

Doria

Helayël²,

Chaichian³

et al. 2015

JAP

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A new electromagnetism is still expected to be developed. Thus, under such a principlewhere nature works as a group, an electromagnetism beyond Maxwell is studied. It considersthat light metric antecedes electric charge for founding the EM phenomena. Based on wholenessprinciple, Lorentz group and gauge invariance this electromagnetism sticked on light is proposed.Then, by electromagnetism it will be understood the physics derived from Lorentz group potentialfields family (for simplicity other fields are not included). New electromagnetic fields,sectors, layers and regimes are developed. It yields a branch with transversal and longitudinalEM fields, granular and collective sectors, I-fields layers and four regimes (photonic, massive,neutral, charged) connected through a global photon. Their relationships are determined by astate equation identified as Global Maxwell equation. It contains new Gauss and Ampere laws,exclusive Faraday law for polarization and magnetization vectors, divergenceless magnetizationvector having fields as sources, self-interacting photons mediated by a dimensionless couplingconstant and other features. It is complemented by a Global Lorentz equation which besidesthe usual Lorentz force add forces depending on mass and on potential fields.

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A superspace origin for an extended Gauge model

Cited by 3 publications

References 0 publications

Yang-Mills Families

Yang-Mills Families

Non-Abelian Constructivist Lagrangian

A New Model for a Non-Linear Electromagnetic Model with Self-Interacting Photons

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