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Multiple Time Analyticity of a Quantum Statistical State Satisfying the KMS Boundary Condition

Multiple Time Analyticity of a Quantum Statistical State Satisfying the KMS Boundary Condition

A multiple time expectation ^(ABjC^)---^^)) in a stationary state <p satisfying the KMS boundary condition is studied.It is found to be holomorphic in a simplicial tube domain 0<Im ^<Im jf 2 <---<Im t n <fi, continuous and bounded in the closure and the expectation of cyclic permutation of operators are …