On the transformations of hamiltonian gauge algebra under rotations of constraints

TL;DR

This paper derives how the structure coefficients of Hamiltonian gauge algebra transform under rotations of constraints, revealing deviations from naive connection behavior through explicit calculations involving ghost-dependent canonical transformations.

Contribution

It provides a detailed derivation of the transformation law for gauge algebra structure coefficients under constraint rotations, highlighting deviations from expected connection-like behavior.

Findings

Derived explicit transformation law for structure coefficients

Showed deviations from naive connection behavior

Used ghost-dependent canonical transformations

Abstract

By explicit calculation of the effect of a ghost-dependent canonical transformation of BRST-charge, we derive the corresponding transformation law for structure coefficients of hamiltonian gauge algebra under rotation of constraints.We show the transformation law to deviate from the behaviour (expected naively) characteristic to a genuine connection.