The boundary theory of a spinor field theory on the Bruhat-Tits tree
For a spinor field theory on the Bruhat-Tits tree, we calculate the action and the partition function of its boundary theory by integrating out the interior of the Bruhat-Tits tree. We found that the boundary theory is very similar to a scalar field theory over p-adic numbers. Keywords: Anti-de Sitt...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-04-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320301350 |
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doaj-9dad86877c434c5884703b79c2d7dcbd2020-11-25T02:20:03ZengElsevierPhysics Letters B0370-26932020-04-01803The boundary theory of a spinor field theory on the Bruhat-Tits treeFeng Qu0Yi-hong Gao1School of Physical Sciences, University of Chinese Academy of Sciences, No.19A Yuquan Road, Beijing 100049, China; CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; Corresponding author at: CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.School of Physical Sciences, University of Chinese Academy of Sciences, No.19A Yuquan Road, Beijing 100049, China; CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, ChinaFor a spinor field theory on the Bruhat-Tits tree, we calculate the action and the partition function of its boundary theory by integrating out the interior of the Bruhat-Tits tree. We found that the boundary theory is very similar to a scalar field theory over p-adic numbers. Keywords: Anti-de Sitter/conformal field theory correspondence, Gauge/gravity correspondence, p-adic number, Spinor field, Bruhat-Tits treehttp://www.sciencedirect.com/science/article/pii/S0370269320301350 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Feng Qu Yi-hong Gao |
| spellingShingle |
Feng Qu Yi-hong Gao The boundary theory of a spinor field theory on the Bruhat-Tits tree Physics Letters B |
| author_facet |
Feng Qu Yi-hong Gao |
| author_sort |
Feng Qu |
| title |
The boundary theory of a spinor field theory on the Bruhat-Tits tree |
| title_short |
The boundary theory of a spinor field theory on the Bruhat-Tits tree |
| title_full |
The boundary theory of a spinor field theory on the Bruhat-Tits tree |
| title_fullStr |
The boundary theory of a spinor field theory on the Bruhat-Tits tree |
| title_full_unstemmed |
The boundary theory of a spinor field theory on the Bruhat-Tits tree |
| title_sort |
boundary theory of a spinor field theory on the bruhat-tits tree |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2020-04-01 |
| description |
For a spinor field theory on the Bruhat-Tits tree, we calculate the action and the partition function of its boundary theory by integrating out the interior of the Bruhat-Tits tree. We found that the boundary theory is very similar to a scalar field theory over p-adic numbers. Keywords: Anti-de Sitter/conformal field theory correspondence, Gauge/gravity correspondence, p-adic number, Spinor field, Bruhat-Tits tree |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269320301350 |
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