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- Cluster_decomposition_theorem abstract "In physics, the cluster decomposition property is related to locality in quantum field theory. In a quantum field theory having this property, the vacuum expectation value of a product of many operators - each of them being either in region A or in region B where A and B are very separated - asymptotically equals the product of the expectation value of the product of the operators in A, times a similar factor from the region B. Consequently, sufficiently separated regions behave independently.If A1, ..., An are n operators each localized in a bounded region and represents the unitary operator actively translating the Hilbert space by the vector a, then if we pick some subset of the n operators to translate,where is the vacuum state, andprovided a is a spacelike vector.Expressed in terms of the connected correlation functions, it means if some of the arguments of the connected correlation function are shifted by large spacelike separations, the function goes to zero.This property only holds if the vacuum is a pure state. If the vacuum is degenerate and we have a mixed state, the cluster decomposition property fails.If the theory has a mass gap , then there is a value a0 beyond which the connected correlation function is absolutely bounded by where is some coefficient and is the length of the vector for .".
- Cluster_decomposition_theorem wikiPageID "1075022".
- Cluster_decomposition_theorem wikiPageRevisionID "579629297".
- Cluster_decomposition_theorem auto "yes".
- Cluster_decomposition_theorem date "December 2009".
- Cluster_decomposition_theorem hasPhotoCollection Cluster_decomposition_theorem.
- Cluster_decomposition_theorem subject Category:Quantum_field_theory.
- Cluster_decomposition_theorem subject Category:Theorems_in_quantum_physics.
- Cluster_decomposition_theorem type Abstraction100002137.
- Cluster_decomposition_theorem type Communication100033020.
- Cluster_decomposition_theorem type Message106598915.
- Cluster_decomposition_theorem type PhysicsTheorems.
- Cluster_decomposition_theorem type Proposition106750804.
- Cluster_decomposition_theorem type Statement106722453.
- Cluster_decomposition_theorem type Theorem106752293.
- Cluster_decomposition_theorem comment "In physics, the cluster decomposition property is related to locality in quantum field theory. In a quantum field theory having this property, the vacuum expectation value of a product of many operators - each of them being either in region A or in region B where A and B are very separated - asymptotically equals the product of the expectation value of the product of the operators in A, times a similar factor from the region B.".
- Cluster_decomposition_theorem label "Cluster decomposition theorem".
- Cluster_decomposition_theorem label "クラスター分解性".
- Cluster_decomposition_theorem sameAs クラスター分解性.
- Cluster_decomposition_theorem sameAs 송이_분해_성질.
- Cluster_decomposition_theorem sameAs m.043r76.
- Cluster_decomposition_theorem sameAs Q5136698.
- Cluster_decomposition_theorem sameAs Q5136698.
- Cluster_decomposition_theorem sameAs Cluster_decomposition_theorem.
- Cluster_decomposition_theorem wasDerivedFrom Cluster_decomposition_theorem?oldid=579629297.
- Cluster_decomposition_theorem isPrimaryTopicOf Cluster_decomposition_theorem.