Relating Gribov-Zwanziger theory and Yang-Mills theory in Batalin-Vilkovisky formalism
Sudhaker Upadhyay, Bhabani Prasad Mandal (Banaras Hindu University,, Varanasi, India)
TL;DR
This paper explores the connection between Gribov-Zwanziger and Yang-Mills theories using a generalized finite field-dependent BRST transformation within the Batalin-Vilkovisky formalism, revealing a relation between their generating functionals.
Contribution
It introduces a finite field-dependent BRST transformation in the BV formalism to relate Gribov-Zwanziger and Yang-Mills theories, extending previous infinitesimal approaches.
Findings
Finite field-dependent BRST transformation relates the two theories.
The generating functionals of Gribov-Zwanziger and Yang-Mills theories are connected.
The approach provides a new perspective on gauge theory quantization.
Abstract
We consider the BRST invariant Gribov-Zwanziger theory with appropriate horizon term in Batalin-Vilkovisky formalism. The usual infinitesimal BRST transformation is generalized by considering the parameter finite and field dependent. We show that such finite field dependent BRST transformation with suitable choice of finite parameter relates the generating functional of Gribov-Zwanziger theory to that of the Yang-Mills theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.