Rarita-Schwinger field: Dressing procedure and spin-parity of components

Kaloshin, A. E.; Lomov, V. P.

doi:10.1134/s1063778806030161

Cited by 17 publications

(28 citation statements)

References 24 publications

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“…[11]. This is in accordance with the presence, apart from the spin-3/2 part, of two spin-1/2 sectors of opposite parity and their mixing in the vacuum Rarita-Schwinger propagator [12]. The spin-3/2 and spin-1/2 projection operators [13] can be expressed as:…”

Section: Isobar Propagator In Vacuum and Pion-nucleon Scatteringsupporting

confidence: 70%

Effects of consistent and inconsistent isobar coupling in the nuclear medium

Korpa

2012

Phys. Rev. C

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We investigate effects of consistent (conserving the number of degrees of freedom) and inconsistent pionnucleon-isobar couplings on the isobar propagator in vacuum and in nuclear medium. Using the consistent coupling in conjunction with a convenient basis leads to significant simplification of the isobar vacuum and in-medium self-energy and dressed propagator compared to the case of inconsistent interaction. The higherderivative nature of the consistent interaction requires a suitable compensation by an additional form-factor term or adjustment in the used cut-off values. This modification is straightforward to perform and assures that the physical observables connected to the spin-3/2 sector in vacuum and nuclear medium acquire values indistinguishable from the ones obtained by using an inconsistent coupling.

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Section: Isobar Propagator In Vacuum and Pion-nucleon Scatteringsupporting

confidence: 70%

Effects of consistent and inconsistent isobar coupling in the nuclear medium

Korpa

2012

Phys. Rev. C

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“…It would have missed Lamb shift [63,64], not to say antiparticles [65,66]. The lesson is inescapable [67,68]: one should not impose mathematical constraints on a representation space to obtain an interpretation which satisfies certain empirically untested physical intuitions, or prevalent folklore. The physical intuition may ask for avoiding the doubling of the degrees of freedom or a folklore may demand a definite spin for particles, etc.…”

Section: Dirac's Insight: Not Projecting Out Antiparticlesmentioning

confidence: 99%

Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter

Ahluwalia

Grumiller

2005

J. Cosmol. Astropart. Phys.

183

260

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Abstract:We provide the first details on the unexpected theoretical discovery of a spinone-half matter field with mass dimension one. It is based upon a complete set of dualhelicity 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. We briefly discuss its relevance to the cosmological 'horizon problem'. Because the introduced fermionic field is endowed with mass dimension one, it can carry a quartic self-interaction. Its dominant interaction with known forms of matter is via Higgs, and with gravity. This aspect leads us to contemplate the new fermion as a prime dark matter candidate. Taking this suggestion seriously we study a supernova-like explosion of a galactic-mass dark matter cloud to set limits on the mass of the new particle and present a calculation on relic abundance to constrain the relevant cross-section. The analysis favours light mass (roughly 20 MeV) and relevant cross-section of about 2 pb. Similarities and differences with the WIMP and mirror matter proposals for dark matter are enumerated. In a critique of the theory we bare a hint on non-commutative aspects of spacetime, and energy-momentum space.Keywords: dark matter, quantum field theory on curved space.To celebrate the birthday of my wife Dr I S Ahluwalia-Khalilova and in memory of my father Shri B S Ahluwalia (1933-1977

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“…More details can be found in Refs. [17][18][19][20][21][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56].…”

Section: Structures Of Chiral Lagrangians With Decuplet Baryonsmentioning

confidence: 99%

Chiral Lagrangians with decuplet baryons to one loop

et al. 2018

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We construct the relativistic chiral Lagrangians with decuplet baryons up to the order Oðp 4 Þ (one loop). For the meson-decuplet-decuplet couplings, there are 1, 13, 55, and 548 terms in the Oðp 1 Þ − Oðp 4 Þ order Lagrangians, respectively. For the meson-octet-decuplet Lagrangians, the number of independent terms from Oðp 1 Þ to Oðp 4 Þ is 1, 5, 67, and 611, respectively. For convenience of application, the πΔΔ and πNΔ chiral Lagrangians are picked out. This new form of Δ Lagrangians is equivalent to the original isovectorisospinor one, and we establish relations between these two forms.

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Rarita-Schwinger field: Dressing procedure and spin-parity of components

Cited by 17 publications

References 24 publications

Effects of consistent and inconsistent isobar coupling in the nuclear medium

Effects of consistent and inconsistent isobar coupling in the nuclear medium

Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter

Chiral Lagrangians with decuplet baryons to one loop

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