Abstract
We study the role of arbitrary (finite) anticanonical transformations in the field–antifield formalism and the gauge-fixing procedure based on the use of these transformations. The properties of the generating functionals of the Green functions subjected to finite anticanonical transformations are considered.
Highlights
The field–antifield formalism [1,2], summarizing numerous attempts to find correct quantization rules for various types of gauge models [3,4,5,6,7], is a powerful covariant quantization method which can be applied to arbitrary gauge invariant systems
We study the role of arbitrary anticanonical transformations in the field–antifield formalism and the gauge-fixing procedure based on the use of these transformations
It is an important property that the antibracket is preserved under the anticanonical transformations which are dual to canonical transformations for a Poisson bracket
Summary
The field–antifield formalism [1,2], summarizing numerous attempts to find correct quantization rules for various types of gauge models [3,4,5,6,7], is a powerful covariant quantization method which can be applied to arbitrary gauge invariant systems This method is based on the fundamental principle of BRST invariance [8,9] and has a rich new geometry [10]. We extend the use of anticanonical transformations in the field–antifield formalism from the infinitesimal level to the finite one, and we explore a gauge-fixing procedure for general gauge theories, based on arbitrary anticanonical transformations in an action being a proper solution to the quantum master equation with fixed boundary condition. C (2015) 75:270 erating functionals of the Green functions for a gauge system formulated in any two admissible gauges with the help of finite field-dependent BRST transformations
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
