Validity of Sum Rules and High Energy Theorems by Current Algebra
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概要
- 論文の詳細を見る
Sum rules and high energy theorems by current algebra are checked by a free field (lowest order in perturbation) model. It seems that, from the commutation relations [∫V_<i^α>d^3x,∫V_<j^β>d^3x], [∫x_iV_<0^α>d^3x,∫V_<j^β>d^3x] and [∫P^αd^3x,∫P^βd^3x] we cannot obtain any sum rule or high energy theorem, whereas [∫x_iV_<0^α>d^3x, ∫x_jV_<0^β>d^3x] and ∫A_<0^α>d^3x, ∫A_<0^β>d^3x give correct sum rules, where V_μ, A_μ, P are the vector, axial vector, pseudo-scalar currents and α,β are SU(2) or SU(3) index.
- 理論物理学刊行会の論文
- 1967-10-25
著者
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Yamamoto Kunio
Institute Of Physics College Of General Education Osaka University
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Taguchi Yukio
Institute Of Physics College Of General Education Osaka University
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TAGUCHI Yukio
Institute of Physics, College of General Education Osaka University
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- Transformation Properties of Operators in Local Field Theory
- Finite Field Theory in Solvable Models
- The q-Number Schwinger Term and the Breakdown of the Associative Law for Current Operators
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- Breakdown of the Associative Law for Current Operators in a Model in Two-Dimensional Space-Time
- Problem of Lorentz Invariance in Local Field Theory
- Divergence Difficulties in Local Field Theory
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- A Finite Local Field Theory
- Lorentz Invariance and Normal Product
- Lorentz Invariance and Normal Product in an Interacting System
- Nonperturbation Approach to Decay Problems
- Sum Rule for the Magnetic Moment of Arbitrary Spin Particle and Simple Application to Nucleus