Relating Gribov-Zwanziger theory and Yang-Mills theory in Batalin-Vilkovisky formalism

Bhabani Prasad Mandal (Banaras Hindu University; India); Sudhaker Upadhyay; Varanasi

Relating Gribov-Zwanziger theory and Yang-Mills theory in Batalin-Vilkovisky formalism

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arxiv 1112.0422 v1 pith:T5W4VKUW submitted 2011-12-02 hep-th

Sudhaker Upadhyay , Bhabani Prasad Mandal (Banaras Hindu University , Varanasi , India) This is my paper · ORCID

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keywords theorybrstfinitegribov-zwanzigerbatalin-vilkoviskydependentfieldformalism

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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.

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Forms of BRST symmetry on a Prototypical First-Class System
hep-th 2025-05 conditional novelty 4.0 of 10

For a prototypical first-class system, dual-BRST and anti-dual-BRST symmetries are obtained from ordinary BRST and anti-BRST symmetries by canonical relabeling of ghost variables, so they are not independent symmetries.

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