Massive Fields Of Arbitrary Spin Research Articles

Gauge invariant Lagrangian formulation of massive higher spin fields in [formula omitted] space

We develop the frame-like formulation of massive bosonic higher spin fields in the case of three-dimensional (A)dS space with the arbitrary cosmological constant. The formulation is based on gauge invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.

Covariant Operator Formalism for Massive Arbitrary Spin Fields

Quantum theories of massive fields with arbitrary fixed spins are formulated in terms of manifestly covariant operators. Unphysical modes are confined in zero-norm states by virtue of the subsidiary conditions Q BRST |phys> = 0 with BRST charges. This restriction is analogous to that in quantum gauge field theories. Smooth massless limits of the massive field theories are briefly studied.

Massive fields in AdS(3) and compactification in AdS spacetime

Massive arbitrary spin fields in AdS(3) spacetime are discussed in a framework of light-cone gauge formulation. We also consider compactification of AdS spacetime on manifold which is warped product of AdS space and sphere. Mass spectra of massless and massive fields upon such compactification are found.

Lagrangian formulation of irreducible massive fields of arbitrary spin in (2+1) dimensions

The Lagrangian formulation for free massive fields corresponding to arbitrary integer and half-integer spin-irreducible representations of the Poincaré group in three-dimensional space-time is presented. The relationship of the theory under consideration to the self-duality equations in four dimensions is discussed.

Energy - momentum tensor for massive fields of arbitrary spin

We derive a formula which allows the computation of the energy - momentum tensor in an arbitrarily curved spacetime from a Lagrangian consisting of spinor fields. Using this formula we determine the energy - momentum tensor for massive fields of arbitrary spin in a uniform manner. Our result includes the already known energy - momentum tensors for Dirac and Proca fields as well as for real bosonic fields with s > 1 as special cases.

Massive fields of arbitrary spin in curved space-times

A possibility to describe massive fields of spins≧1/2 within general relativity theory without auxiliary fields and subsidiary conditions is proposed. Using the 2-component spinor calculus the Lagrangian is given for arbitrarys in an uniform manner. The related Euler-Lagrange equations are the wave equations studied by Buchdahl and Wünsch. The results are specified for fields of integer and half-integer spin: A suitable generalization of Proca's equation and Lagrangian leads to an equivalent tensor description of bosonic fields, whereas a generalization of Dirac's theory allows an equivalent description of fermionic fields by use of bispinors. AU (1)-gauge invariance of the Lagrangian is obtained by coupling to an electrogmagnetic potential. The current vector of the spin-s field is derived.

Covariant propagators for massive arbitrary-spin fields

Covariant propagators for massive arbitrary-spin fields