Fermionic observables in the transverse Ising chain

Björnberg, Jakob E.

doi:10.1063/1.4982637

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“…This approach allows us to derive, in a more systematic way, local relations of the observables, leading to results for the space-time representation of the quantum model. Similar local relations were obtained previously FK-loop representation [Bjö17,Li19].…”

Section: Introductionsupporting

confidence: 87%

Conformal invariance in the quantum Ising model

Li¹,

Mahfouf²

2021

Preprint

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We introduce Kadanoff-Ceva order-disorder operators in the quantum Ising model. This approach was first used for the classical planar Ising model [KC71] and recently put back to the stage [CCK17,Che18]. This representation turns out to be equivalent to the loop expansion of Sminorv's fermionic observables [Smi10] and is particularly interesting due to its simple and compact formulation. Using this approach, we are able to extend different results known in the classical planar Ising model, such as the conformal invariance / covariance of correlations and the energy-density, to the spin-representation of the (1+1)-dimensional quantum Ising model.

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Section: Introductionsupporting

confidence: 87%