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Open AccessJournal ArticleDOI

Tetrad gravity, electroweak geometry and conformal symmetry

Daniel Canarutto
- 20 Nov 2011 - 
- Vol. 08, Iss: 04, pp 797-819
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TLDR
In this article, a partly original description of gauge fields and electroweak geometry is proposed, and a discussion of the breaking of conformal symmetry and the nature of the dilaton in the proposed setting is discussed.
Abstract
A partly original description of gauge fields and electroweak geometry is proposed. A discussion of the breaking of conformal symmetry and the nature of the dilaton in the proposed setting indicates that such questions cannot be definitely answered in the context of electroweak geometry.

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Journal ArticleDOI

Positive spaces, generalized semi-densities, and quantum interactions

TL;DR: In this paper, the basics of quantum particle physics on a curved Lorentzian background are expressed in a formulation which has original aspects and exploits some non-standard mathematical notions, such as positive spaces and generalized semi-densities.
Journal ArticleDOI

Natural Extensions of Electroweak Geometry and Higgs Interactions

TL;DR: In this paper, the authors explore the possibility that the Higgs boson of the standard model is actually a member of a larger family, by showing that a more elaborate internal structure naturally arises from geometrical arguments, in the context of a partly original handling of gauge fields.
Journal ArticleDOI

Two-spinor geometry and gauge freedom

TL;DR: Gauge freedom in quantum particle physics is shown to arise in a natural way from the geometry of two-spinors (Weyl spinors), and a special ansatz of the kind "the system defines the geometry" is discussed in connection with the stated results as discussed by the authors.
Journal ArticleDOI

Frölicher-smooth geometries, quantum jet bundles and BRST symmetry

TL;DR: In this paper, the notion of smoothness introduced by Frolicher and exploited by several authors in the study of functional bundles is applied to a formulation of BRST symmetry in a gauge theory of the Yang-Mills type.
Journal ArticleDOI

On the geometry of ghosts

TL;DR: In this article, a general rule for the constructions of free quantum fields and their conjugates is proposed, yielding the needed fundamental properties with regard to contractions, super-commutators, field momentum and Hamiltonian, and other quantities.
References
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MonographDOI

The quantum theory of fields

TL;DR: Weinberg as discussed by the authors presented a self-contained, up-to-date and comprehensive introduction to supersymmetry, a highly active area of theoretical physics, including supersymmetric algebras.
Journal ArticleDOI

Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance

TL;DR: In this article, the authors present explicit models for a symmetry breakdown in the cases of the Weyl (or homothetic) group, the SL(4, R), or the GL(4-R) covering subgroup.
Journal ArticleDOI

Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance

TL;DR: In this article, a Lagrangian formalism and corresponding Noether machinery are presented for symmetry breakdown in the cases of the Weyl (or homothetic) group, the ${SL}(4,R)$ or the ${GL} (4, R)$ in four dimensions.
Book

Quantum theory of fields