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Narain, G; Sasakura, N; Narain, G (reprint author), Chinese Acad Sci, Kavli Inst Theoret Phys China KITPC, Beijing 100190, Peoples R China.; Narain, G (reprint author), Chinese Acad Sci, Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
Mother canonical tensor model
Source PublicationCLASSICAL AND QUANTUM GRAVITY
Language英语
KeywordCanonical Tensor Model Hamilton-jacobi Constraints Quantisation Exact Solutions
AbstractThe canonical tensor model (CTM) is a tensor model formulated in the Hamilton formalism as a totally constrained system with first class constraints, the algebraic structure of which is very similar to that of the ADM formalism of general relativity. It has recently been shown that a formal continuum limit of the classical equation of motion of CTM in a derivative expansion of the tensor up to the fourth derivatives agrees with that of a coupled system of general relativity and a scalar field in the Hamilton-Jacobi formalism. This suggests the existence of a 'mother' tensor model which derives CTM through the Hamilton-Jacobi procedure, and we have successfully found such a 'mother' CTM (mCTM) in this paper. The quantization of the mCTM is as straightforward as the CTM. However, we have not been able to identify all the secondary constraints, and therefore the full structure of the model has been left for future study. Nonetheless, we have found some exact physical wave functions and classical phase spaces, which can be shown to solve the primary and all the (possibly infinite) secondary constraints in the quantum and classical cases, respectively, and have thereby proven the non-triviality of the model. It has also been shown that the mCTM has more interesting dynamics than the CTM from the perspective of randomly connected tensor networks.
2017
Volume34Issue:14Pages:145009
Subject AreaAstronomy & Astrophysics ; Physics
DOIhttp://dx.doi.org/10.1088/1361-6382/aa7771
Funding OrganizationJSPS KAKENHI Grant [15K05050] ; JSPS KAKENHI Grant [15K05050] ; JSPS KAKENHI Grant [15K05050] ; JSPS KAKENHI Grant [15K05050]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22010
Collection理论物理所科研产出_SCI论文
Corresponding AuthorNarain, G (reprint author), Chinese Acad Sci, Kavli Inst Theoret Phys China KITPC, Beijing 100190, Peoples R China.; Narain, G (reprint author), Chinese Acad Sci, Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Narain, G,Sasakura, N,Narain, G ,et al. Mother canonical tensor model[J]. CLASSICAL AND QUANTUM GRAVITY,2017,34(14):145009.
APA Narain, G,Sasakura, N,Narain, G ,&Narain, G .(2017).Mother canonical tensor model.CLASSICAL AND QUANTUM GRAVITY,34(14),145009.
MLA Narain, G,et al."Mother canonical tensor model".CLASSICAL AND QUANTUM GRAVITY 34.14(2017):145009.
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