Geodesic
Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 269-291 Cet article a éte moissonné depuis la source Math-Net.Ru

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New representation for the generating function of static correlators of third components of spins in the $XXO$-Heisenberg model is advanced in the form of Gaussian functional integral. The generating function, as well as the partition function of the model, are calculated by means of zeta regularization procedure. Formulas for certain correlation functions at nonzero temperature are obtained. 
@article{ZNSL_2000_269_a18,
     author = {K. L. Malyshev},
     title = {Functional integration, zeta regularization and correlators of third components of spins in the $XXO${-Heisenberg}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {269--291},
     year = {2000},
     volume = {269},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a18/}
}
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K. L. Malyshev. Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 269-291. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a18/