Space Inversion, Time Reversal, and Other Discrete Symmetries in Local Field Theories

Lee, T. D.; Wick, G. C.

doi:10.1103/physrev.148.1385

Cited by 129 publications

(76 citation statements)

References 36 publications

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“…Thus, we would like to keep it, and advocate an ab initio exploration of a non standard Wigner class (NSWC). At this point two important facts are recalled: (a) For the standard Wigner classes, the P and C anticommute for fermions and commute for bosons; this is true for all particles of the SM; * Electronic address: dva-k@heritage.reduaz.mx † Electronic address: grumiller@itp.uni-leipzig.de and, (b) Any non-trivial theory built upon a NSWC has to be non-local [6]. The second property is the reason why the NSWCs are discarded normally.…”

Section: Introductionmentioning

confidence: 99%

Dark matter: A spin one-half fermion field with mass dimension one?

2005

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We report an unexpected theoretical discovery of a spin one half matter field with mass dimension one. It is based on a complete set of eigenspinors of the charge conjugation operator. Due to its unusual properties with respect to charge conjugation and parity it belongs to a non standard Wigner class. Consequently, the theory exhibits non-locality with (CP T ) 2 = −I. Its dominant interaction with known forms of matter is via Higgs, and with gravity. This aspect leads us to contemplate it as a first-principle candidate for dark matter.

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Section: Introductionmentioning

confidence: 99%

Dark matter: A spin one-half fermion field with mass dimension one?

2005

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“…What is left, in view of the already cited work of Lee and Wick [5], is to explicitly show that the (j, 0) ⊕ (0, j) field operator (8) for spin one describes a nonlocal theory (in the sense to 5 The order of the operations in the product which follows is not important because the two operations are found to anticommute, and therefore the ambiguity of ordering only involves an overall global phase factor. become obvious below).…”

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confidence: 99%

A Bargmann-Wightman-Wigner-type quantum field theory

1993

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We show that the (j, 0) ⊕ (0, j) representation space associated with massive particles is a concrete realisation of a quantum field theory, envisaged many years ago by Bargmann, Wightman and Wigner, in which bosons and antibosons have opposite relative intrinsic parities. Demonstration of the result requires a careful ab initio study of the (j, 0) ⊕ (0, j) representation space for massive particles, introducing a wave equation with well defined transformation properties under C, P and T, and addressing the issue of nonlocality required of such a theory by the work of Lee and Wick.

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“…[19,26] It can be noted in this respect that, assuming implicitly all fields are standard model fields, CPT violation necessarily implies the Lorentz violation in local field theory [28]. However, this is not valid for other Wigner classes [29] for which the Lee-Wick theorem [30] assures non-locality. Recently, a new form of CPT violation has been shown [31,32] that arises without violating the Lorentz symmetry.…”

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confidence: 99%

Spacetime Curvature Coupling of Spinors in Early Universe: Neutrino Asymmetry and a Possible Source of Baryogenesis

2006

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It is well known that when a fermion propagates in curved space-time, its spin couples to the curvature of background space-time. We propose that this interaction for neutrinos propagating in early curved universe could give rise to a new set of dispersion relations and then neutrino asymmetry at equilibrium. We demonstrate this with the Bianchi models which describe the homogeneous but anisotropic and axially symmetric universe. If the lepton number violating processes freeze out at 10 −37 second when temperature T ∼ 10 15 GeV, neutrino asymmetry of the order of 10 −10 can be generated. A net baryon asymmetry of the same magnitude can thus be generated from this lepton asymmetry either by a GUT B − L symmetry or by the electro-week sphaleron processes which have B + L symmetry.KEY WORDS : neutrino asymmetry, early universe, anisotropic space-time, CPT violation PACS NO. : 04.62.+v, 11.30.Er, 11.30.Fs The asymmetry of neutrino in universe is a known fact. This asymmetry is thought to arise due to lepton number asymmetry, e.g., via the Affleck-Dine mechanism [1]. There are several important consequences of a large neutrino asymmetry in early universe which may have effects on production of light elements during BBN, contribution of relic neutrinos to the present energy density of universe, change of neutrino decoupling temperature, cosmic microwave background etc. [2]. Also the massive neutrinos with large asymmetry can explain the existence of cosmic radiation with energy greater than GZK cutoff [3]. Keeping all these importance in mind, our present goal is to prescribe a new mechanism which can give an insight to the origin of neutrino asymmetry fixed up in the early era.When any fermion propagates in curved space-time its spin couples to the background curvature connection and gives rise to an interaction. The various aspects of this feature have been studied in past (e.g., [4][5][6][7][8][9][10][11][12]). It has also been shown that this interaction may be responsible for an additional neutrino asymmetry even in the present era of universe [13][14][15]. However, it is very difficult to visualize as the strength of the above mentioned interaction is negligible in our earth which is practically flat. In a similar fashion, the space-time around a black hole can generate neutrino asymmetry locally [13,15], but as we do not have overall information about number of black holes and their * ujjal@iucaa.ernet.in † bmukhopa@cfa.harvard.edu ‡ nkd@iucaa.ernet.in 1 corresponding spin orientation, it is very difficult to predict whether it produces a significant asymmetry over the relic value or not. A similar mechanism to produce asymmetry was noted earlier [16]. Later, the Lorentz and the CPT violating scenarios were addressed in the context of Riemann-Cartan space-times [17] and in the neutrino sector [18], although in curved space-time a precise definition of the CPT symmetry is challenging to establish.The important fact to note is that the interaction term, arising due to spin-curvature coupling, does not preserve...

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Space Inversion, Time Reversal, and Other Discrete Symmetries in Local Field Theories

Cited by 129 publications

References 36 publications

Dark matter: A spin one-half fermion field with mass dimension one?

Dark matter: A spin one-half fermion field with mass dimension one?

A Bargmann-Wightman-Wigner-type quantum field theory

Spacetime Curvature Coupling of Spinors in Early Universe: Neutrino Asymmetry and a Possible Source of Baryogenesis

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