Geodesic
Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 219-261
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Time-dependent temperature correlators of the anisotropic Heisenberg $XY$ chain are calculated by making use of technique of integration over Grassmann variables. For the chain of length $M$ the correlators are represented as determinants of $2M\times2M$ matrices. In the thermodynamic limit the correlation functions are expressed in terms of the Fredholm determinants of linear integral operators with a matrix kernel. 
@article{ZNSL_2000_269_a16,
     author = {V. S. Kapitonov and A. G. Pronko},
     title = {Time-dependent temperature correlators of local spins of the one-dimensional {Heisenberg} $XY$ chain},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {219--261},
     year = {2000},
     volume = {269},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a16/}
}
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V. S. Kapitonov; A. G. Pronko. Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 219-261. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a16/