ELFT HÍRADÓ

[Janos Asboth <asboth.janos AT ttk.bme.hu>]

Meghívó

BME Elméleti Fizika Szeminárium,

okt. 22. péntek 10h15,

ONLINE
<https://teams.microsoft.com/l/meetup-join/19%3a21ec60c6162141b288b58744ae2db5b3%40thread.tacv2/1634647107752?context=%7b%22Tid%22%3a%226a3548ab-7570-4271-91a8-58da00697029%22%2c%22Oid%22%3a%22c7eaf7d2-684b-4597-b217-6a9121400219%22%7d>
a Microsoft Teamsben, a tanszéki felújítás miatt

Lencsés Máté (BME TTK, Elméleti Fizika Tanszék):

Duality and Form Factors in the Thermally Deformed Two-Dimensional
Tricritical Ising Model

We consider [1] a simple generalization of the well-known Ising model
allowing for vacancies i.e. spins to be absent. In two dimensions this
model has a tricritical point which is described by the tricritical Ising
model. The thermal deformation of the tricritical point can be described by
an integrable field theory in the scaling limit. It is called the $E_7$
model and has seven stable particles with known scattering amplitudes. The
model possesses a low-temperature/high-temperature duality, reminiscent of
the Kramers--Wannier duality in the Ising model. However, there are two
distinct order operators with the corresponding disorder ones. Using
bootstrap principles and exploiting the duality, we construct the matrix
elements (form factors) of the order/disorder operators between the ground
state and one- and two-particle states. Utilizing Hamiltonian truncation
methods and the so-called $Delta$-theorem we verify the validity of the
construction. Using the form factors, we calculate one- and two-particle
contributions to the dynamical structure factors of the theory, which might
be accessible for experimental study.

[1]: A. Cortés Cubero, R. M. Konik, M. Lencsés, G. Mussardo, G. Takács:
arXiv:2109.09767

Minden érdeklődőt szeretettel várunk.

Asbóth János
szemináriumi koordinátor