Abstract

Boundary conditions (BCs) for the Maxwell and Dirac fields at material surfaces are widely-used and physically well-motivated, but do not appear to have been generalized to deal with higher spin fields. As a result there is no clear prescription as to which BCs should be selected in order to obtain physically-relevant results pertaining to confined higher spin fields. This lack of understanding is significant given that boundary-dependent phenomena are ubiquitous across physics, a prominent example being the Casimir effect. Here, we use the two-spinor calculus formalism to present a unified treatment of BCs routinely employed in the treatment of spin- and spin-1 fields. We then use this unification to obtain a BC that can be applied to massless fields of any spin, including the spin-2 graviton, and its supersymmetric partner the spin- gravitino.

Highlights

  • We will begin our treatment by outlining the Boundary conditions (BCs) assumed within the bag model, i.e., those usually employed in the treatment of massless spin-1 2 particles

  • We use the two-spinor calculus formalism to present a unified treatment of BCs routinely employed in the treatment of spin-1 2 and spin-1 fields

  • We will begin our treatment by outlining the BCs assumed within the bag model, i.e., those usually employed in the treatment of massless spin-1 2 particles

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Summary

Introduction

We will begin our treatment by outlining the BCs assumed within the bag model, i.e., those usually employed in the treatment of massless spin-1 2 particles. Physically-relevant results pertaining to confined higher spin fields. We use the two-spinor calculus formalism to present a unified treatment of BCs routinely employed in the treatment of spin-1 2 and spin-1 fields.

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