Using Weyl operators to study Mermin's inequalities in Quantum Field Theory
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929261945815040 |
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| author | De Fabritiis, Philipe Guedes, Fillipe M. Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. |
| author_facet | De Fabritiis, Philipe Guedes, Fillipe M. Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. |
| contents | Mermin's inequalities are investigated in a Quantum Field Theory framework by using von Neumann algebras built with Weyl operators. We devise a general construction based on the Tomita-Takesaki modular theory and use it to compute the vacuum expectation value of the Mermin operator, analyzing the parameter space and explicitly exhibiting a violation of Mermin's inequalities. Therefore, relying on the power of modular operators, we are able to demonstrate that Mermin's inequalities are violated when examined within the vacuum state of a scalar field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_06918 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Using Weyl operators to study Mermin's inequalities in Quantum Field Theory De Fabritiis, Philipe Guedes, Fillipe M. Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. High Energy Physics - Theory Quantum Physics Mermin's inequalities are investigated in a Quantum Field Theory framework by using von Neumann algebras built with Weyl operators. We devise a general construction based on the Tomita-Takesaki modular theory and use it to compute the vacuum expectation value of the Mermin operator, analyzing the parameter space and explicitly exhibiting a violation of Mermin's inequalities. Therefore, relying on the power of modular operators, we are able to demonstrate that Mermin's inequalities are violated when examined within the vacuum state of a scalar field theory. |
| title | Using Weyl operators to study Mermin's inequalities in Quantum Field Theory |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2312.06918 |