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Using Weyl operators to study Mermin's inequalities in Quantum Field Theory

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abstract

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.

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hep-ph 1

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2024 1

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Measuring Quantum Discord at the LHC

hep-ph · 2024-12-30 · conditional · novelty 6.0

The authors derive closed-form formulas for quantum discord in the ttbar system and predict it can be measured at the LHC with sub-percent precision using the kinematic method.

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  • Measuring Quantum Discord at the LHC hep-ph · 2024-12-30 · conditional · none · ref 53 · internal anchor

    The authors derive closed-form formulas for quantum discord in the ttbar system and predict it can be measured at the LHC with sub-percent precision using the kinematic method.