A Bilocal Model for the Relativistic Spinning Particle

@article{Rempel2017ABM,
  title={A Bilocal Model for the Relativistic Spinning Particle},
  author={Trevor Rempel and Laurent Freidel},
  journal={Physical Review D},
  year={2017},
  volume={95},
  pages={104014}
}
In this work we show that a relativistic spinning particle can be described at the classical and the quantum level as being composed of two physical constituents which are entangled and separated by a fixed distance. This bilocal model for spinning particles allows for a natural description of particle interactions as a local interaction at each of the constituents. This form of the interaction vertex provides a resolution to a long standing issue on the nature of relativistic interactions for… 

Figures from this paper

Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in General Relativity

We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in

General-relativistic spin system

The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective description is

Theory of metaparticles

We introduce and develop the theory of metaparticles. At the classical level, this is a world-line theory with the usual reparameterization invariance and two additional features. The theory is

An Exploration of Locality, Conservation Laws, and Spin

Conservation rules are central to our understanding of the physical world, they place restrictions on how particles can move and dictate what can occur during an interaction. However, it is often

On the world sheet of anyon in the external electromagnetic field

World sheets of spinning particles

The classical spinning particles are considered such that quantization of classical model leads to an irreducible massive representation of the Poincar\'e group. The class of gauge equivalent

The Kirillov picture for the Wigner particle

We discuss the Kirillov method for massless Wigner particles, usually (mis)named ‘continuous spin’ or ‘infinite spin’ particles. These appear in Wigner’s classification of the unitary representations

O ct 2 01 9 The Kirillov picture for the Wigner particle

We discuss the Kirillov method for massless Wigner particles, usually (mis)named “continuous spin” or “infinite spin” particles. These appear in Wigner’s classification of the unitary representations

N ov 2 01 7 The Kirillov picture for the Wigner particle

We discuss the Kirillov method for massless Wigner particles, usually (mis)named “continuous spin” or “infinite spin” particles. These appear in Wigner’s classification of the unitary representations

Black holes, hidden symmetries, and complete integrability

It is demonstrated that the principal tensor can be used as a “seed object” which generates all these symmetries of higher-dimensional Kerr–NUT–(A)dS black hole spacetimes and the review contains a discussion of different applications of the developed formalism and its possible generalizations.

References

SHOWING 1-10 OF 20 REFERENCES

Interaction vertex for classical spinning particles

We consider a model of the classical spinning particle in which the coadjoint orbits of the Poincare group are parametrized by two pairs of canonically conjugate four vectors, one representing the

Single Valuedness of Wave Functions

The requirement that the quantal wave function be single-valued is examined in the light of two recent developments: The effect of a magnetic vector potential on a particle moving in a multiply

Infinite spin particles

We show that Wigner's infinite spin particle classically is described by a reparametrization invariant higher order geometrical lagrangian. The model exhibits unconventional features like tachyonic

Relative locality: a deepening of the relativity principle

We describe a recently introduced principle of relative locality which we propose governs a regime of quantum gravitational phenomena accessible to experimental investigation. This regime comprises

On the theory of continuous-spin particles: wavefunctions and soft-factor scattering amplitudes

A bstractThe most general massless particles allowed by Poincaré-invariance are “continuous-spin” particles (CSPs) characterized by a scale ρ, which at ρ = 0 reduce to familiar helicity particles.

Quantum Theory of Non-Local Fields. Part II. Irreducible Fields and their Interaction

General properties of non-local operators are considered in connection with the problem of invariance with respect to the group of inhomogeneous Lorentz transformations. It is shown that irreducible

On the Bi-Local Model and String Model

The mechanical models of the hi-local fields and the string models are discussed in the formal point of view. Since the formulation of the extended particle pictures has no unique way, there are

Mathisson's helical motions for a spinning particle: Are they unphysical?

It has been asserted in the literature that Mathisson's helical motions are unphysical, with the argument that their radius can be arbitrarily large. We revisit Mathisson's helical motions of a free

Scalar Field Theory in Curved Momentum Space

We derive an action for scalar quantum field theory with cubic interaction in the context of relative locality. Beginning with the generating functional for standard $\varphi^3$--theory and the

Center of Mass, Spin Supplementary Conditions, and the Momentum of Spinning Particles

We discuss the problem of defining the center of mass in general relativity and the so-called spin supplementary condition. The different spin conditions in the literature, their physical