TL;DR
This paper develops a BRST-BV framework for describing massless and massive continuous-spin fields in flat space, deriving gauge-invariant Lagrangians and exploring their gauge fixing and symmetries.
Contribution
It introduces a novel BRST-BV approach to continuous-spin fields, connecting gauge-invariant Lagrangians with metric-like formulations and analyzing gauge fixing.
Findings
Derived BRST-BV gauge invariant Lagrangian for continuous-spin fields
Established relation between BRST-BV and metric-like Lagrangians
Obtained gauge-fixed Lagrangian with BRST and antiBRST invariance
Abstract
Using BRST-BV approach, massless and massive continuous-spin fields propagating in the flat space are studied. For such fields, BRST-BV gauge invariant Lagrangian is obtained. The Lagrangian and gauge transformations are constructed out of traceless gauge fields and traceless gauge transformation parameters. Interrelation between the BRST-BV Lagrangian and the Lagrangian for the continuous-spin fields in metric-like approach is demonstrated. Considering the BRST-BV Lagrangian in the Siegel gauge, we get gauge-fixed Lagrangian which is invariant under global BRST and antiBRST transformations.
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