Heat-Flow Projection in BRST Quantization: A Letter Toward Non-Abelian Gauge Theories

hideo umihara

doi:10.5281/zenodo.20102231

May 10, 2026Open Access

Heat-Flow Projection in BRST Quantization: A Letter Toward Non-Abelian Gauge Theories

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Key Points

This letter aims to describe a heat-flow mechanism for projecting onto the physical sector in BRST quantization.
Formulated an operator-theoretic heat-flow mechanism for BRST projection.
Discussed the abstract BRST framework and its relation to the constraint Laplacian.
Illustrated concepts with a truncated SU(2) example.
Identified unresolved issues in the full application to QCD.
Demonstrated the large-parameter semigroup limit within the context.

Implication

Letter formulates an operator-theoretic mechanism for BRST projection in gauge theories, highlighting issues in QCD.

Abstract

This letter formulates an operator-theoretic heat-flow mechanism for BRST projection onto the physical sector. It discusses the abstract BRST framework, the associated constraint Laplacian, the large-parameter semigroup limit, and a truncated SU(2) illustration, while clarifying the unresolved issues that remain for full QCD.

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Cite This Study

hideo umihara (2026) studied this question.

synapsesocial.com/papers/6a02c345ce8c8c81e96409a4 https://doi.org/10.5281/zenodo.20102231

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Heat-Flow Projection in BRST Quantization: A Letter Toward Non-Abelian Gauge Theories

Key Points

Implication

Abstract

Discussion

Cite This Study

Heat-Flow Projection in BRST Quantization: A Letter Toward Non-Abelian Gauge Theories

Key Points

Implication

Abstract

Discussion

Cite This Study

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