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Anti de Sitter quantum field theory and a new class of hypergeometric identities
hypergeometric identities High Energy Physics - Theory Anti de Sitter quantum field theory
2011/10/9
Abstract: We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sit...
Ghirlanda-Guerra identities and ultrametricity: An elementary proof in the discrete case
spin glasses Sherrington-Kirkpatrick model ultrametricity
2011/7/28
Abstract: In this paper we give another proof of the fact that a random overlap array, which satisfies the Ghirlanda-Guerra identities and whose elements take values in a finite set, is ultrametric wi...
Ward-Takahashi identities for the colored Boulatov model
Group field theory Ward-Takahashi identities
2011/7/27
Abstract: Ward-Takahashi identities of the colored Boulatov model are derived using a generic unitary field transformation. In a specific instance, this generic transformation turns out to be a symmet...
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Pohozhaev Morawetz Identities Elastostatics Elastodynamics
2011/7/27
Abstract: We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-lin...
Non abelian Bianchi identities, monopoles and gauge invariance
Non abelian Bianchi identities monopoles gauge invariance
2010/12/24
A direct connection is proved between the Non-Abelian Bianchi Identities and the Abelian Bianchi identities for the 't Hooft tensor in a generic gauge; the existence of a magnetic current is related ...
New Bosonic Operator Ordering Identities Gained by the Entangled State
Representation and Two-Variable Hermite Polynomials
operator ordering entangled state two-variable Hermite polynomials
2007/8/15
2002Vol.38No.3pp.297-300DOI:
New Bosonic Operator Ordering Identities Gained by the Entangled State
Representation and Two-Variable Hermite Polynomials
FAN Hong-Yi1,2 and FAN Yue2...
New Operator Identities and Combinatorics Studied by Virtue of IWOP Technique
IWOP technique combinatorics operator identities
2007/8/15
2006Vol.45No.1pp.49-54DOI:
New Operator Identities and Combinatorics Studied by Virtue of IWOP Technique
FAN Hong-Yi,1,2 OU-YANG Jing,3 and JIANG Zhong-Hua3
1 Department...