Gauge invariance, minimal coupling, and torsion

Hojman, Sergio A.; Rosenbaum, M.; Ryan, Michael P.; Shepley, L. C.

doi:10.1103/physrevd.17.3141

Cited by 125 publications

(147 citation statements)

References 3 publications

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“…The possibility to modify the gauge transformation in the theory with torsion has been studied in [139,104]. In this paper we opt to keep the form of the gauge transformation unaltered, and postulate that the gauge vector does not couple to torsion.…”

Section: Interaction Of Torsion With Matter Fieldsmentioning

confidence: 99%

Physical aspects of the space–time torsion

2002

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Abstract. We review many quantum aspects of torsion theory and discuss the possibility of the space-time torsion to exist and to be detected. The paper starts, in Chapter 2, with a pedagogical introduction to the classical gravity with torsion, that includes also interaction of torsion with matter fields. Special attention is paid to the conformal properties of the theory. In Chapter 3, the renormalization of quantum theory of matter fields and related topics, like renormalization group, effective potential and anomalies, are considered. Chapter 4 is devoted to the action of spinning and spinless particles in a space-time with torsion, and to the discussion of possible physical effects generated by the background torsion. In particular, we review the upper bounds for the magnitude of the background torsion which are known from the literature. In Chapter 5, the comprehensive study of the possibility of a theory for the propagating completely antisymmetric torsion field is presented. It is supposed that the propagating field should be quantized, and that its quantum effects must be described by, at least, some effective low-energy quantum field theory. We show, that the propagating torsion may be consistent with the principles of quantum theory only in the case when the torsion mass is much greater than the mass of the heaviest fermion coupled to torsion. Then, universality of the fermion-torsion interaction implies that torsion itself has a huge mass, and can not be observed in realistic experiments. Thus, the theory of quantum matter fields on the classical torsion background can be formulated in a consistent way, while the theory of dynamical torsion meets serious obstacles. In Chapter 6, we briefly discuss the string-induced torsion and the possibility to induce torsion action and torsion itself through the quantum effects of matter fields.

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Section: Interaction Of Torsion With Matter Fieldsmentioning

confidence: 99%

Physical aspects of the space–time torsion

2002

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“…The above expressions have been used in order to formulate a theory of electromagnetism minimally coupled to torsion and satisfying gauge invariance and the minimal coupling principles [68][69][70][71]. Using (6), (28), and (29), the teleparallel torsion scalar (5) can be written in terms of the scalar field ϕ as…”

Section: Torsion Potential Of a Scalar Fieldmentioning

confidence: 99%

The hidden flat like universe

Hanafy

Nashed

2015

Eur. Phys. J. C

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We study a single-fluid component in a flat like universe (FLU) governed by f (T ) gravity theories, where T is the teleparallel torsion scalar. The FLU model, regardless of the value of the spatial curvature k, identifies a special class of f (T ) gravity theories. Remarkably, FLU f (T ) gravity does not reduce to teleparallel gravity theory. In large Hubble spacetime the theory is consistent with the inflationary universe scenario and respects the conservation principle. The equation of state evolves similarly in all models k = 0, ±1. We study the case when the torsion tensor consists of a scalar field, which enables to derive a quintessence potential from the obtained f (T ) gravity theory. The potential produces Starobinsky-like model naturally without using a conformal transformation, with higher orders continuously interpolate between Starobinsky and quadratic inflation models. The slow-roll analysis shows double solutions, so that for a single value of the scalar tilt (spectral index) n s the theory can predict double tensor-to-scalar ratios r of E-mode and B-mode polarizations.

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“…Also, this form of the torsion tensor has been used successfully to couple torsion minimally to any gauge field [71,[73][74][75]. Using the above equations and (11), the teleparallel torsion scalar (10) can be written in terms of the scalar field ϕ as…”

Section: B Torsion Potential Of a Scalar Fieldmentioning

confidence: 99%

“…In the inflationary models the cosmic inflation is powered by a spin-0 matter, so it is more convenient to assume the case when the torsion potential is constructed by a scalar field ϕ(x), sometimes it is called tlaplon field [71,72], which serves as torsion potential. Thus we can reformulate the f (T ) theory in terms of tlaplon field with an FRW background, so we take…”

Section: B Torsion Potential Of a Scalar Fieldmentioning

confidence: 99%

Reconstruction of f ( T ) $f(T)$ -gravity in the absence of matter

Hanafy¹,

Nashed²

2016

Astrophys Space Sci

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We derive an exact f (T ) gravity in the absence of ordinary matter in Friedmann-RobertsonWalker (FRW) universe, where T is the teleparallel torsion scalar. We show that vanishing of the energy-momentum tensor T µν of matter does not imply vanishing of the teleparallel torsion scalar, in contrast to general relativity, where the Ricci scalar vanishes. The theory provides an exponential (inflationary) scale factor independent of the choice of the sectional curvature. In addition, the obtained f (T ) acts just like cosmological constant in the flat space model. Nevertheless, it is dynamical in non-flat models. In particular, the open universe provides a decaying pattern of the f (T ) contributing directly to solve the fine-tuning problem of the cosmological constant. The equation of state (EoS) of the torsion vacuum fluid has been studied in positive and negative Hubble regimes. We study the case when the torsion is made of a scalar field (tlaplon) which acts as torsion potential. This treatment enables to induce a tlaplon field sensitive to the symmetry of the spacetime in addition to the reconstruction of its effective potential from the f (T ) theory. The theory provides six different versions of inflationary models. The real solutions are mainly quadratic, the complex solutions, remarkably, provide Higgs-like potential.PACS numbers: 98.80.Qc, 04.20.Cv, 98.80.Cq.

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Gauge invariance, minimal coupling, and torsion

Cited by 125 publications

References 3 publications

Physical aspects of the space–time torsion

Physical aspects of the space–time torsion

The hidden flat like universe

Reconstruction of f ( T ) $f(T)$ -gravity in the absence of matter

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