Parity violation in metric-torsion theories of gravitation

Hojman, R.; Mukku, C.; Sayed, Waad Al

doi:10.1103/physrevd.22.1915

Cited by 118 publications

(158 citation statements)

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“…However, it was pointed out recently in [2] (see also earlier paper [3]) that in the presence of spin 1/2 particles the second term in action (1) does not vanish on mass shell, and therefore γ should enter the corresponding equations of motion.…”

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confidence: 99%

“…In connection with equation (7), the following question arises. The usual curvature tensor R IJ µν and its dual * R IJ µν behave in opposite ways both under the space reflection P and the time reversal T (see, e.g., [3]). To see it, we recall firstly that the duality transformation in electrodynamics results in E → B, B → −E, and that E and B behave in opposite ways both under P and T .…”

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confidence: 99%

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Immirzi parameter, torsion, and discrete symmetries

Khriplovich

Pomeransky

2006

Phys. Rev. D

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We point out that the new interaction of spinning particles with the torsion tensor, discussed recently, is odd under charge conjugation and time reversal. This explains rather unexpected symmetry properties of the induced effective 4-fermion interaction.As has been demonstrated in [1], the gravitational action can be written asHere I, J = 0, 1, 2, 3 are internal Lorentz indices, µ, ν = 0, 1, 2, 3 are space-time indices; e I µ is the tetrad field, e is its determinant, and e µ I is the object inverse to e I µ ; the curvature tensor isω IJ µ is the connection. As to the so-called Immirzi parameter γ, the common belief is that it does not enter equations of motion since it appears as a factor at the term that vanishes on mass shell.However, it was pointed out recently in [2] (see also earlier paper [3]) that in the presence of spin 1/2 particles the second term in action (1) does not vanish on mass shell, and therefore γ should enter the corresponding equations of motion.Then it was pointed out in [4] (see also [5]) that the fermion action can be generalized as follows:Here γ I are the Dirac matrices;

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mentioning

confidence: 99%

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confidence: 99%

Immirzi parameter, torsion, and discrete symmetries

Khriplovich

Pomeransky

2006

Phys. Rev. D

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“…This action is linear in curvature. However, the term ε klmnR klmn is also linear in curvature and was considered in [68]. In case of vanishing torsion this term identically vanishes which was already mentioned in [69].…”

Section: Einstein-cartan Theorymentioning

confidence: 92%

“…If torsion is present then the term gives additional contributions to the field equations. In [68] it was used to analyse parity violating contributions in the action. Fortunately it turns out that this term also vanishes identically if fermions are the source of torsion as in the SM under consideration.…”

Section: Einstein-cartan Theorymentioning

confidence: 99%

The spherically symmetric Standard Model with gravity

2005

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“…Thus, the electric dipole moment of neutron can develop a dependence on the Barbero-Immirzi parameter η (see ref. [2,34] for earlier discussions on parity violating effects in gravity).…”

Section: B Action Of Instantonmentioning

confidence: 99%