A gauge field theory of continuous-spin particles

Continuous spin particles from a string theory

It has been shown that the massless irreducible representations of the Poincaré group with continuous spin can be obtained from a classical point particle action which admits a generalization to a conformally invariant string action. The continuous spin string action is quantized in the BRST formalism. We show that the vacuum carries a continuous spin representation of the Poincaré group and th...

Anyons as Spin Particles: from Classical Mechanics to Field Theory

(2+1)-dimensional relativistic fractional spin particles are considered within the framework of the group-theoretical approach to anyons starting from the level of classical mechanics and concluding by the construction of the minimal set of linear differential field equations. Talk given at the Conference “Theories of Fundamental Interactions”, Maynooth, Ireland, May 1995; to be published in “T...

Light Spin - One Particles Imply Gauge Invariance

Recently, calculations which consider the implications of anomalous trilinear gauge-boson couplings, both at tree-level and in loop-induced processes, have been criticized on the grounds that the lagrangians employed are not SU L (2) × U Y (1)gauge invariant. We prove that, in fact, the general Lorentz-invariant and U (1) em invariant but not SU L (2) × U Y (1) invariant action is equivalent to...

Spin Networks in Gauge Theory

Given a real-analytic manifold M, a compact connected Lie group G and a principal G-bundle P ! M, there is a canonicaìgeneralized measure' on the space A=G of smooth connections on P modulo gauge transformations. This allows one to deene a Hilbert space L 2 (A=G). Here we construct a set of vectors spanning L 2 (A=G). These vectors are described in terms of`spin networks': graphs embedded in M,...

Gauge Field Theory Models