Conformal Couplings in Induced Gravity

Park, C. J.; Yoon, Yongsung

doi:10.1023/a:1018838006753

Cited by 6 publications

(12 citation statements)

References 17 publications

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“…This is due to the fact that in TEGR the spin connection is taken to be a purely inertial Lorentz connection, totally unaffected by the rescaling of the spacetime metric. The transformation of torsion in TEGR is thus similar to what is usually found in the literature on the search for conformal invariance in the more general Riemann-Cartan spacetimes [46][47][48][49]. In those spacetimes, however, the spin connection does not have to be restricted to the inertial Lorentz connection and, hence, it is a priori expected to be affected by the Weyl transformation as well.…”

Section: Behavior Under Weyl Transformationsupporting

confidence: 64%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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The Noether charge associated to diffeomorphism invariance in teleparallel gravity is derived. It is shown that the latter yields the ADM mass of an asymptotically flat spacetime. The black hole entropy is then investigated based on Wald's prescription that relies on the Noether charge. It is shown that, like in general relativity, the surface gravity can be factored out from such a charge. Consequently, the similarity with the first law of thermodynamics implied by such an approach in general relativity does show up also in teleparallel gravity. It is found that, based on the expression of the first law of black hole mechanics, which is preserved in teleparallel gravity, entropy can thus be extracted from such a Noether charge. The resulting entropy can very naturally be expressed as a volume integral, though. As such, it is shown that the conformal issue that plagues the entropy-area law within general relativity does not arise in teleparallel gravity based on Wald's approach. The physics behind these features is discussed.

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Section: Behavior Under Weyl Transformationsupporting

confidence: 64%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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“…In particular, in the four-dimensional case, the symmetric version of the theory corresponds to ξ = 1 3 , contrary to the famous ξ = 1 6 in the torsionless case. The effect of changing conformal value of ξ due to the non-trivial transformation of torsion has been discussed earlier in [24] (see also further references there).…”

Section: Conformal Invariance In Metric-scalar-torsion Theorymentioning

confidence: 88%

“…i) If the parameters ξ i of the general metric-torsion-dilaton theory (8) satisfy the relation (12), there is conformal invariance of the new type, more general than the one considered in [26,24] and different from the ones considered in [22,21].…”

Section: Discussionmentioning

confidence: 99%

Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion

2000

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We consider some aspects of conformal symmetry in a metric-scalar-torsion system. It is shown that, for some special choice of the action, torsion acts as a compensating field and the full theory is conformally equivalent to General Relativity on classical level. Due to the introduction of torsion, this equivalence can be provided for the positively-defined gravitational and scalar actions. Oneloop divergences arising from the scalar loop are calculated and both the consequent anomaly and the anomaly-induced effective action are derived.

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“…The effect of changing conformal value of ξ due to the nontrivial transformation of torsion has been discussed in [149] and [102] (see also further references there).…”

Section: Conformal Properties Of Torsionmentioning

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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Conformal Couplings in Induced Gravity

Cited by 6 publications

References 17 publications

Noether charge and black hole entropy in teleparallel gravity

Noether charge and black hole entropy in teleparallel gravity

Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion

Physical aspects of the space–time torsion

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