Finite-temperature dynamical correlations in massive integrable quantum field theories
We consider the finite-temperature frequency and momentum-dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero-temperature correlation function is dominated by a delta-function line arising from the coherent propagation of single-...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2009
|
| _version_ | 1826279796507672576 |
|---|---|
| author | Essler, F Konik, R |
| author_facet | Essler, F Konik, R |
| author_sort | Essler, F |
| collection | OXFORD |
| description | We consider the finite-temperature frequency and momentum-dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero-temperature correlation function is dominated by a delta-function line arising from the coherent propagation of single-particle modes. Our specific examples are the two-point function of spin fields in the disordered phase of the quantum Ising and the O(3) nonlinear sigma models. We employ a Lehmann representation in terms of the known exact zero-temperature form factors to carry out a low-temperature expansion of two-point functions. We present two different but equivalent methods of regularizing the divergences present in the Lehmann expansion: one directly regulates the integral expressions of the squares of matrix elements in the infinite volume whereas the other operates through subtracting divergences in a large, finite volume. Our central results are that the temperature broadening of the lineshape exhibits a pronounced asymmetry and a shift of the maximum upwards in energy ('temperature-dependent gap'). The field theory results presented here describe the scaling limits of the dynamical structure factor in the quantum Ising and integer spin Heisenberg chains. We discuss the relevance of our results for the analysis of inelastic neutron scattering experiments on gapped spin chain systems such as CsNiCl3 and YBaNiO5. © 2009 IOP Publishing Ltd. |
| first_indexed | 2024-03-07T00:04:08Z |
| format | Journal article |
| id | oxford-uuid:76f74f50-ee56-4efb-9064-41301617b84a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:04:08Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:76f74f50-ee56-4efb-9064-41301617b84a2022-03-26T20:19:59ZFinite-temperature dynamical correlations in massive integrable quantum field theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:76f74f50-ee56-4efb-9064-41301617b84aEnglishSymplectic Elements at Oxford2009Essler, FKonik, RWe consider the finite-temperature frequency and momentum-dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero-temperature correlation function is dominated by a delta-function line arising from the coherent propagation of single-particle modes. Our specific examples are the two-point function of spin fields in the disordered phase of the quantum Ising and the O(3) nonlinear sigma models. We employ a Lehmann representation in terms of the known exact zero-temperature form factors to carry out a low-temperature expansion of two-point functions. We present two different but equivalent methods of regularizing the divergences present in the Lehmann expansion: one directly regulates the integral expressions of the squares of matrix elements in the infinite volume whereas the other operates through subtracting divergences in a large, finite volume. Our central results are that the temperature broadening of the lineshape exhibits a pronounced asymmetry and a shift of the maximum upwards in energy ('temperature-dependent gap'). The field theory results presented here describe the scaling limits of the dynamical structure factor in the quantum Ising and integer spin Heisenberg chains. We discuss the relevance of our results for the analysis of inelastic neutron scattering experiments on gapped spin chain systems such as CsNiCl3 and YBaNiO5. © 2009 IOP Publishing Ltd. |
| spellingShingle | Essler, F Konik, R Finite-temperature dynamical correlations in massive integrable quantum field theories |
| title | Finite-temperature dynamical correlations in massive integrable quantum field theories |
| title_full | Finite-temperature dynamical correlations in massive integrable quantum field theories |
| title_fullStr | Finite-temperature dynamical correlations in massive integrable quantum field theories |
| title_full_unstemmed | Finite-temperature dynamical correlations in massive integrable quantum field theories |
| title_short | Finite-temperature dynamical correlations in massive integrable quantum field theories |
| title_sort | finite temperature dynamical correlations in massive integrable quantum field theories |
| work_keys_str_mv | AT esslerf finitetemperaturedynamicalcorrelationsinmassiveintegrablequantumfieldtheories AT konikr finitetemperaturedynamicalcorrelationsinmassiveintegrablequantumfieldtheories |