Hypermomentum in hadron dynamics and in gravitation

Hehl, Friedrich W.; Lord, Eric A.; Ne’eman, Yuval

doi:10.1103/physrevd.17.428

Cited by 58 publications

(51 citation statements)

References 30 publications

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“…Note that one source of the prevalent belief that there are no spinors ("world"-spinors) stems from an unwarranted extrapolation of a theorem of E. Cartan (1). As In two other articles, we shall present this physical idea in more detail (4). In particular, we shall show that the band-spinor description fits well into a recent generalization of general relativity, the metric-affine theory (5,6).…”

Section: Introductionmentioning

confidence: 72%

Gravitational interaction of hadrons: Band-spinor representations of GL(n,R)

Ne’eman

1977

Proc. Natl. Acad. Sci. U.S.A.

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We demonstrate the existence of double-valued linear (infinite) spinorial representations of the group of general coordinate transformations. We discuss the topology of the group of general coordinate transformations and its subgroups GA(nR), GL(nR) SL4nr) for n = 2,3,4, and the existence of a double covering. We present the construction of band-spinor representations of GLtnR) in terms of Harish-Chandra modules.It is suggested that hadrons interact with gravitation as band-spinors of that type. In the metric-affine extension of general relativity, the hadron intrinsic hypermomentum is minimally coupled to the connection, in addition to the coupling of the energy momentum tensor to the vierbeins. The relativistic conservation of intrinsic hypermomentum fits the observed regularities of hadrons: SU(6) (-spin independence), scaling, and complex-J trajectories. The latter correspond to volumepreserving deformations (confinement?) exciting rotational ands.

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Section: Introductionmentioning

confidence: 72%

Gravitational interaction of hadrons: Band-spinor representations of GL(n,R)

Ne’eman

1977

Proc. Natl. Acad. Sci. U.S.A.

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“…Most probably, the P 10 -theory provides a good description for the gravitational interactions of leptons, since their spacetime symmetries are exhausted by the Poincaré group. However, there are additional symmetries in the physics of strongly interacting particles [147] besides the P 10 . In particular, the systematics of hadrons within the Regge approach [148] suggests the description of all particles lying on a Regge trajectory as excitations of one physical object.…”

Section: Model Description Of Microscopic Gravitational Interactionsmentioning

confidence: 99%

“…The gauge potential is identified with the generalized affine connection in the principal bundle of affine frames A(M ), which introduces the most general geometrical structure on the spacetime manifold M 4 : the independent linear connection Γ α βµ and the metric g µν (the tetrad fields h a µ ). The sources of such a microscopic gravitational field are the corresponding Noether GA(4, R)-currents of matter: the energy-momentum and the "hypermomentum" [147,199] …”

Section: Model Description Of Microscopic Gravitational Interactionsmentioning

confidence: 99%

Gauge approach and quantization methods in gravity theory

Пономарев¹,

Barvinsky²,

Obukhov³

2017

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Gauge approach and quantization methods in gravity theory / Ponomarev V. N., Barvinsky A. O., Obukhov Yu. N. ; Nuclear Safety Institute of the Russian Academy of Sciences -М. : Nauka, 2017. -360 p. : ill. -ISBN 978-5-02-040047-4 (bound).The book gives an overview of the geometrical gauge approach to the gravity theory and the methods of quantization of the gravitational field. Gauge-theoretic formalism (universal principle of the local invariance and the mechanism of spontaneous breaking of the gauge symmetry) forms the basis for the modern understanding of fundamental physical interactions and is successfully confirmed by the experimental discoveries of the gauge bosons and the Higgs particle. The carefully selected material of the book provides a minimal but sufficient mathematical introduction to the methods of the gauge gravitational theory, and gives a concise but exhaustive description of all specific physical consequences. In order to describe the many dramatic changes which took place recently in understanding the concepts, issues and motivations of quantum gravitational physics, a special emphasis is put on a comparison of three different quantization methods of the gravitational field -the covariant approach, the Dirac-Wheeler-DeWitt quantization and the method of Arnowitt-Deser-Misner. The basics of the canonical quantization is explained along with the detailed exposition of the path integral approach, and the introduction to the modern BRST technique is given to demonstrate the consistency of the Arnowitt-Deser-Misner and the Dirac-Wheeler-DeWitt quantization schemes. The book addresses the physicists who specialize in the gravity theory and the high-energy physics, and it can be recommended to the graduate students and senior undergraduate university students in theoretical physics and mathematics. Формализм калибровочной теории (универсальный принцип локальной инвариантности и механизм спонтанного нарушения калибровочной симметрии) лежит в основе современного понимания фундаментальных физических взаимодействий и успешно подтверждается экспе-риментальными открытиями калибровочных бозонов и частицы Хиггса. В книге дается обзор геометрического калибровочного подхода к теории гравитации и методов квантования гравита-ционного поля. Тщательно подобранный материал книги обеспечивает минимальное, но доста-точное математическое введение в методы калибровочной теории гравитации и дает краткое, но исчерпывающее описание конкретных физических следствий калибровочного подхода. Чтобы осветить многочисленные драматические изменения, произошедшие в последнее время в осмы-слении понятий, проблем и целей квантово-гравитационной физики, особое внимание уделя-ется сравнению трех различных методов квантования гравитационного поля -ковариантного подхода, квантования Дирака-Уилера-ДеВитта и метода Арновитта-Дезера-Мизнера. В книге объясняются основы канонического квантования наряду с подробным изложением формализ-ма континуальных интегралов, и дается введение в современную технику БРСТ, с тем чтобы продемонстрировать с...

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“…Details will appear elsewhere (3, 11). (4,5) corresponding to a spinor version of the metric affine theory (6,7). In that case, which we shall designate as the "weaker" A4A theory, the universal coupling of intrinsic hypermomentum to the 94 connection potential p,(ab) defines the (hadronic) matrix elements of T(ab)M in the sense of current algebra (in addition to the conventional universal coupling of energy momentum to the tetrads).…”

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confidence: 99%

“…Considering that e4 is itself represented nonlinearly over its linear subgroup $94 (12,24), alternative approaches have presented gravity as the nonlinear realization over 94 of passive (relabeling) &0 invariance (25,26). Because we are dealing with a physically active gauge symmetry (7), we have to realize .114 over the anholonomic (Latin) indices of the local tetrad frame pa(x), of section 2, .14 separates the A14/1P4 cosets, so that k can be regarded as "coordinates" in N, ** Linguistic purity makes us prefer "manifield" to our original "polyfield" (4,5).…”

mentioning

confidence: 99%

Gravitational interaction of hadrons and leptons: Linear (multiplicity-free) bandor and nonlinear spinor unitary irreducible representations of S̄L̄ (4 R )

Ne’eman

Šijački

1979

Proc. Natl. Acad. Sci. U.S.A.

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We review two possible affine extensions of gravity connected to the strong interactions. In the metric affine theory, torsion and nonmetricity do not propagate, gravitation is effectively unmodified, and the observed approximate conservation of hadron intrinsic hypermomentum—i.e., scaling, SU (6), and Regge trajectories—is due to the ḠL̄ (4, R ) band-spinor structure of the hadrons. In the second approach, the new gravitational Lagrangian density generates propagating but confined torsion and nonmetricity, presumably the main contributions to quark confinement. Leptons are represented nonlinearly as Poincaré spinors with the metric field as “realizer” and Higgs boson, and are unconfined. We present a construction for all linear multiplicity-free (= bandor) representations of ḠL̄ (4, R ) and in particular the [Formula: see text] fitting the hadron manifield. We also construct the Hilbert space hadron states [irreps (irreducible representations) of ḠĀ (4, R )] and the nonlinear realizations of ḠL̄ (4, R ) for lepton fields.

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Hypermomentum in hadron dynamics and in gravitation

Cited by 58 publications

References 30 publications

Gravitational interaction of hadrons: Band-spinor representations of GL(n,R)

Gravitational interaction of hadrons: Band-spinor representations of GL(n,R)

Gauge approach and quantization methods in gravity theory

Gravitational interaction of hadrons and leptons: Linear (multiplicity-free) bandor and nonlinear spinor unitary irreducible representations of S̄L̄ (4 R )

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