On the consistency of a fermion-torsion effective theory

Berredo-Peixoto, Guilherme de; Helayël-Neto, J. A.; Shapiro, Ilya L.

doi:10.1088/1126-6708/2000/02/003

Cited by 33 publications

(79 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The analysis of the Ward identities arising in the fermion-torsion system confirms that the new scalar mode does not decouple and that one can not control the ϕ-dependence on quantum level [22]. However, at first sight, there is a hope that the above properties would not be fatal for the theory.…”

Section: First Test Of Consistency: Loops In the Fermion-scalar Systementioning

confidence: 90%

“…The next level is, naturally, the theory of dynamical (propagating) torsion, which should be considered in the same manner as metric or as the constituents of the Standard Model. We shall present the general review of the original publications [18,22] discussing the restrictions in implementing torsion into a gauge theory such as the Standard Model. By the end of the paper, we discuss the possibility of torsion induced in string theory and through the quantum effects of matter fields.…”

Section: Discussionmentioning

confidence: 99%

“…In this case torsion can propagate, and there would be a chance to meet really independent torsion field. The review of theoretical limitations on this kind of theory [18,22] is one of the main subject of the present review (see Chapter 4). These limitations come from the consistency requirement for the effective quantum field theory for such a "light" torsion.…”

Section: Einstein-cartan Theory and Non-dynamical Torsionmentioning

confidence: 99%

“…As a result there are very small chances to observe torsion at low energies. The main purpose of the present Chapter is to follow the recent papers [18,22] where we have discussed an alternative possibility for a smaller torsion mass. We start the Chapter by making a short account of the previous works on the dynamical torsion, and then proceed by applying the ideas of effective quantum field theory to the formulation of torsion dynamics.…”

Section: Chaptermentioning

confidence: 99%

“…The problem has been solved in [22]. First of all, we notice that the derivation of divergences in the purely torsion sector is not necessary, since the result is (3.15), that is the same as for the spinor loop on torsion background.…”

Section: First Test Of Consistency: Loops In the Fermion-scalar Systementioning

confidence: 99%

See 4 more Smart Citations

Physical aspects of the space–time torsion

2002

View full text Add to dashboard Cite

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.

show abstract

Section: First Test Of Consistency: Loops In the Fermion-scalar Systementioning

confidence: 90%

Section: Discussionmentioning

confidence: 99%

Section: Einstein-cartan Theory and Non-dynamical Torsionmentioning

confidence: 99%

Section: Chaptermentioning

confidence: 99%

Section: First Test Of Consistency: Loops In the Fermion-scalar Systementioning

confidence: 99%

See 3 more Smart Citations

Physical aspects of the space–time torsion

2002

View full text Add to dashboard Cite

show abstract

Torsion, quantum

Lozano¹,

Bianchi²,

Siegel³

et al. 2004

Concise Encyclopedia of Supersymmetry

View full text Add to dashboard Cite

Berry phase for spin-1/2 particles moving in a space-time with torsion

Alimohammadi

Shariati

2001

Eur. Phys. J. C

View full text Add to dashboard Cite

Berry phase for a spin-1/2 particle moving in a flat spacetime with torsion is investigated in the context of the Einstein-Cartan-Dirac model.It is shown that if the torsion is due to a dense polarized background, then there is a Berry phase only if the fermion is massless and its momentum is perpendicular to the direction of the background polarization. The order of magnitude of this Berry phase is discussed in other theoretical frameworks.

show abstract

On the consistency of a fermion-torsion effective theory

Cited by 33 publications

References 21 publications

Physical aspects of the space–time torsion

Physical aspects of the space–time torsion

Torsion, quantum

Berry phase for spin-1/2 particles moving in a space-time with torsion

Contact Info

Product

Resources

About