New QCD sum rules based on canonical commutation relations

Tomoya Hayata

doi:10.1016/j.ppnp.2011.12.007

New QCD sum rules based on canonical commutation relations

Tomoya Hayata

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

New derivation of QCD sum rules by canonical commutators is developed. It is the simple and straightforward generalization of ThomasReicheKuhn sum rule on the basis of KugoOjima operator formalism of a non-abelian gauge theory and a suitable subtraction of UV divergences. By applying the method to the vector and axial vector current in QCD, the exact Weinberg's sum rules are examined. Vector current sum rules and new fractional power sum rules are also discussed.

Original language	English
Pages (from-to)	136-139
Number of pages	4
Journal	Progress in Particle and Nuclear Physics
Volume	67
Issue number	2
DOIs	https://doi.org/10.1016/j.ppnp.2011.12.007
Publication status	Published - 2012 Apr
Externally published	Yes

Keywords

Caonical commutation relations
Kugo-Ojima operator formalism and Weinberg's sum rules
QCD sum rules

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.ppnp.2011.12.007

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AB - New derivation of QCD sum rules by canonical commutators is developed. It is the simple and straightforward generalization of ThomasReicheKuhn sum rule on the basis of KugoOjima operator formalism of a non-abelian gauge theory and a suitable subtraction of UV divergences. By applying the method to the vector and axial vector current in QCD, the exact Weinberg's sum rules are examined. Vector current sum rules and new fractional power sum rules are also discussed.

KW - Caonical commutation relations

KW - Kugo-Ojima operator formalism and Weinberg's sum rules

KW - QCD sum rules

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DO - 10.1016/j.ppnp.2011.12.007

M3 - Article

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SP - 136

EP - 139

JO - Progress in Particle and Nuclear Physics

JF - Progress in Particle and Nuclear Physics

IS - 2

ER -

New QCD sum rules based on canonical commutation relations

Abstract

Keywords

ASJC Scopus subject areas

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