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Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6. The twistor action is manifestly Lorentz invariant but the anticommuting spin…

High Energy Physics - Theory · Physics 2016-01-20 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

In the (super)twistor formulation of massless (super)particle mechanics, the mass-shell constraint is replaced by a "spin-shell" constraint from which the spin content can be read off. We extend this formalism to massive (super)particles…

High Energy Physics - Theory · Physics 2015-06-18 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

A twistorial formulation of a particle of arbitrary spin has been constructed. Equations of the twistor formulation are obtained for massive and massless spinning particles. The twistor space of the massive particle is formed by two…

High Energy Physics - Theory · Physics 2007-05-23 S. Fedoruk , V. G. Zima

Twistor formulation of massive arbitrary spin particle has been constructed. Twistor space of such particle is formed two twistors and two complex scalars which form together 'bosonic supertwistor'. The formulation is deduced from…

High Energy Physics - Theory · Physics 2007-05-23 S. Fedoruk , V. G. Zima

We propose the model of massive spinning particle traveling in four-dimensional Minkowski space. The equations of motion of the particle follow from the fact that all the classical paths of the particle lie on a cylinder whose position in…

High Energy Physics - Theory · Physics 2020-01-08 D. S. Kaparulin , S. L. Lyakhovich , I. A. Retuntsev

It is pointed out that in curved spacetime, one cannot define the sum of energy-momemtum 4-vector over a space-like hypersurface. The difficulty in finding satisfactory gravitational energy-momentum complex stems from misunderstanding of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhaoyan Wu

A twistorial formulation of the N=1 D=4 superparticle with tensorial central charges describing massive and massless cases in uniform manner is given. The twistors resolve energy-momentum vector whereas the tensorial central charges are…

High Energy Physics - Theory · Physics 2007-05-23 S. Fedoruk , V. G. Zima

We present new model of D=4 relativistic massive particle with spin and we describe its quantization. The model is obtained by an extension of standard relativistic phase space description of massive spinless particle by adding new…

High Energy Physics - Theory · Physics 2015-06-19 Sergey Fedoruk , Jerzy Lukierski

The massive six-dimensional (6D) superparticle with manifest (n,0) supersymmetry is shown to have a supertwistor formulation in which its "hidden" (0,n) supersymmetry is also manifest. The mass-shell constraint is replaced by Spin(5)…

High Energy Physics - Theory · Physics 2016-01-20 Alasdair J. Routh , Paul K. Townsend

A massive rigid particle model in $(3+1)$ dimensions is reformulated in terms of twistors. Beginning with a first-order Lagrangian, we establish a twistor representation of the Lagrangian for a massive particle with rigidity. The twistorial…

High Energy Physics - Theory · Physics 2018-06-04 Shinichi Deguchi , Takafumi Suzuki

We construct the manifestly Lorentz-invariant twistorial formulation of N=1 D=4 superparticle with tensorial central charges which describes massive and massless cases in a uniform manner. The tensorial central charges are realized in terms…

High Energy Physics - Theory · Physics 2014-11-18 S. Fedoruk , V. G. Zima

We consider quantum field theory in four-dimensional Minkowski spacetime, with the position coordinates represented by twistors instead of the usual world-vectors. Upon imposing canonical commutation relations between twistors and dual…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz R. Taylor

We consider a D=4 two-twistor lagrangian for a massive particle that incorporates the mass-shell condition in an algebraic way, and extend it to a two-supertwistor model with N=2 supersymmetry and central charge identified with the mass. In…

High Energy Physics - Theory · Physics 2009-01-27 J. A. de Azcarraga , J. M. Izquierdo , J. Lukierski

The consequences of coupling of the torsion (highest curvature) term to the Lagrangian of a massive spinless particle in four-dimensional space-time are studied. It is shown that the modified system remains spinless and possesses extended…

High Energy Physics - Theory · Physics 2009-10-31 A. Nersessian

We show that strictly stationary spacetimes cannot have non-trivial configurations of form fields/complex scalar fields and then the spacetime should be exactly Minkowski or anti-deSitter spacetimes depending on the presence of negative…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Tetsuya Shiromizu , Seiju Ohashi , Ryotaku Suzuki

A very simple illustration of the Bell-Kochen-Specker contradiction is presented using continuous observables in infinite dimensional Hilbert space. It is shown that the assumption of the \emph{existence} of putative values for position and…

Quantum Physics · Physics 2011-11-09 Alberto C. de la Torre

We prove a No-Go theorem for singularity resolution in gravitational collapse: within any analytic gravitational theory, including general relativity and all theories with polynomial actions, quantum corrections introduced solely as…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zhen-Xiao Zhang , Chen Lan , Yan-Gang Miao

The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinning…

High Energy Physics - Theory · Physics 2018-02-14 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

We study the simplest geometrical particle model associated with null paths in four-dimensional Minkowski space-time. The action is given by the pseudo-arclength of the particle worldline. We show that the reduced classical phase space of…

High Energy Physics - Theory · Physics 2009-10-31 Armen Nersessian , Eduardo Ramos

In this paper we pose two fundamental ideas on the motion of an elementary particle supporting the internal "spin motion" or $\textit{Zitterbewegung}$ and a particle as concentrated energy. First, the particle moves randomly in a limited…

Quantum Physics · Physics 2014-05-05 Muhamad Darwis Umar
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