## Quench dynamics of the Ising field theory in a magnetic field

Kristóf Hódsági, Márton Kormos, Gábor Takács

SciPost Phys. 5, 027 (2018) · published 25 September 2018

- doi: 10.21468/SciPostPhys.5.3.027
- Submissions/Reports

### Abstract

We numerically simulate the time evolution of the Ising field theory after quenches starting from the $E_8$ integrable model using the Truncated Conformal Space Approach. The results are compared with two different analytic predictions based on form factor expansions in the pre-quench and post-quench basis, respectively. Our results clarify the domain of validity of these expansions and suggest directions for further improvement. We show for quenches in the $E_8$ model that the initial state is not of the integrable pair state form. We also construct quench overlap functions and show that their high-energy asymptotics are markedly different from those constructed before in the sinh/sine-Gordon theory, and argue that this is related to properties of the ultraviolet fixed point.

### Cited by 8

### Ontology / Topics

See full Ontology or Topics database.### Authors / Affiliations: mappings to Contributors and Organizations

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^{1 }Kristóf Hódsági, -
^{1 }^{2 }Márton Kormos, -
^{1 }Gábor Takács

^{1}Budapesti Műszaki és Gazdaságtudományi Egyetem / Budapest University of Technology and Economics [BUTE]^{2}Magyar Tudományos Akadémia / Hungarian Academy of Sciences [MTA]

- Emberi Eroforrások Minisztériuma (through Organization: Emberi Erőforrások Minisztérium / Ministry of Human Capacities [Emmi])
- Nemzeti Kutatási, Fejlesztési és Innovációs Hivatal / National Research, Development and Innovation Office [NKFIH]