BRST Cohomology as a Spectral Projection

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The BRST physical Hilbert space can be constructed using an operator-theoretic approach based on the spectral structure of the constraint Laplacian. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

hideo umihara

doi:10.5281/zenodo.19477306

April 6, 2026Open Access

BRST Cohomology as a Spectral Projection

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Key Points

To construct the BRST physical Hilbert space through an operator-theoretic approach using spectral properties.
Developed a theoretical framework based on operator theory
Analyzed the spectral structure of the constraint Laplacian
Constructed the Hilbert space using these spectral properties
Established a new perspective on BRST cohomology
Demonstrated the relationship between BRST cohomology and spectral projections
Provided insights into the effective treatment of physical constraints

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Implication

Operator-theoretic construction presents BRST physical Hilbert space, indicating new insights into spectral structures.

Abstract

We present an operator-theoretic construction of the BRST physical Hilbert spacebased on the spectral structure of the constraint Laplacian. Correspondence: boshononusi4096@gmail.com

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hideo umihara (2026) studied this question.

synapsesocial.com/papers/69dc874a3afacbeac03e9ad3 https://doi.org/10.5281/zenodo.19477306

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BRST Cohomology as a Spectral Projection

Key Points

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Implication

Abstract

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BRST Cohomology as a Spectral Projection

Key Points

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Implication

Abstract

Discussion

Cite This Study

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