A Fibre-Bundle Treatment to a Class of Extended Gauge Models

Doria, Celso Melchiades; Doria, R. M.; Helayël-Neto, J. A.

doi:10.1088/0253-6102/17/4/505

Cited by 7 publications

(13 citation statements)

References 2 publications

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“…An increasing amount of data on the reaction γγ → mesons at low and intermediate energies has been available in these recent years [6]. Three-gamma modes were already detected [7].…”

Section: A Physical Interpretationmentioning

confidence: 99%

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Feynman rules for a whole Abelian model

Chauca¹,

Doria²,

Soares³

2012

AIP Conference Proceedings

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“…An increasing amount of data on the reaction γγ → mesons at low and intermediate energies has been available in these recent years [6]. Three-gamma modes were already detected [7].…”

Section: A Physical Interpretationmentioning

confidence: 99%

“…They transform as In [4], [5], [6], [7] the values of the coefficients a IJ , b IJ and so on are displayed in order that the gauge invariance be satisfied. Another reference system to observe these N-quanta dynamics is to write in terms of constructor fields:…”

Section: Introductionmentioning

confidence: 99%

Feynman rules for a whole Abelian model

Chauca¹,

Doria²,

Soares³

2012

AIP Conference Proceedings

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“…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%

“…The granular antisymmetric field strength is dimensional gravity-matter coupled theory spontaneously compactified for an internal space with torsion [17,18,19]. Also by relaxing supersymmetry constraints [20,21,22].…”

mentioning

confidence: 99%

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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“…Different origins based on Kaluza-Klein [5], supersymmetry [6], fibre bundle [? ],  -model [7] have already been studied to consider an initial set of fields transforming under a common gauge group as , . = ' 1 .…”

Section: Introductionmentioning

confidence: 99%

Non-abelian whole gauge symmetry

Doria¹

2015

JAP

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The wholeness principle is analysed for non-abelian gauge symmetry. This principle statesÂ that nature acts through grouping. It says that physical laws should be derived from eldsÂ associations. At this work, we consider on the possibility of introducting a non-abelian eldsÂ set fAaIg under a common gauge parameter.A Yang-Mills extension is studied. Taking the SU(N) symmetry group with differentÂ potential elds rotating under a same group, new elds strengths are developed. They expressÂ covariant entities which are granular, collective, correlated, and not necessarily Lie algebraÂ valued. They yield new scalars and a Lagrangian beyond Yang-Mills is obtained. ClassicalÂ equations are derived and (2N + 7) equations are developed.Â A further step is on how such non-abelian whole symmetry is implemented at SU(N)Â gauge group. For this, it is studied on the algebra closure and Jacobi identities, BianchiÂ identities, Noether theorem, gauge xing, BRST symmetry, conservation laws, covariance,Â charges algebra. As result, one notices that it is installed at SU(N) symmetry independentlyon the number of involved elds. Given this consistency, Yang-Mills should not more beÂ considered as the unique Lagrangian performed from SU(N).Introducting the BRST symmetry an invariant Leff is stablished. The BRST chargeÂ associated to the N-potential elds system is calculated and its nilpotency property obtained.Others conservations laws involving ghost scale, global charges are evalued showing that thisÂ whole symmetry extension preserve the original Yang-Mills algebra. Also the ghost numberÂ is conserved. These results imply that Yang-Mills should be understood as a pattern and notÂ as a specic Lagrangian.Concluding, an extended Lagrangian can be constructed. It is possible to implement aÂ non-abelian whole gauge symmetry based on a elds set fAaIg. Its physical feature is aÂ systemic interpretation for the physical processes. Understand complexity from whole gaugeÂ symmetry.

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A Fibre-Bundle Treatment to a Class of Extended Gauge Models

Cited by 7 publications

References 2 publications

Feynman rules for a whole Abelian model

Feynman rules for a whole Abelian model

Yang-Mills Families

Non-abelian whole gauge symmetry

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