TL;DR
This paper explores the geometric and algebraic structures underlying the BFV theorem, introducing a gauge-fixing framework via non-symplectic BRST flows and discussing implications for symplectic structures and gauge symmetries.
Contribution
It presents a novel geometric interpretation of gauge-fixing in the BFV theorem using non-symplectic BRST flows and extends the framework to Sp(2)-symmetric theories.
Findings
Gauge-fixing described as a non-symplectic BRST flow.
Emergence of a gauge-fixed, non-local symplectic structure.
Extension to Sp(2)-symmetric BLT-theories.
Abstract
We describe gauge-fixing at the level of virtual paths in the path integral as a non-symplectic BRST-type of flow on the path phase space. As a consequence a gauge-fixed, non-local symplectic structure arises. Restoring of locality is discussed. A pertinent anti-Lie-bracket and an infinite dimensional group of gauge fermions are introduced. Generalizations to Sp(2)-symmetric BLT-theories are made.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Particle physics theoretical and experimental studies · Noncommutative and Quantum Gravity Theories