Geodesic
Path integral over a~$c$-number measure for interacting bosons and fermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 193-208

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The matrix elements of the evolution operator of interacting bosons and fermions are represented as path integrals over coherent states on a Lie group. In the case of spinless electrons interacting with the electromagnetic field, this integral is transformed to an integral over the paths of the electrons in the three-dimensional space $E_3$. A scheme for constructing a path integral for electrons with spin degrees of freedom is proposed. 
@article{TMF_1983_54_2_a3,
     author = {L. F. Novikov},
     title = {Path integral over a~$c$-number measure for interacting bosons and fermions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {193--208},
     publisher = {mathdoc},
     volume = {54},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a3/}
}
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L. F. Novikov. Path integral over a~$c$-number measure for interacting bosons and fermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 193-208. http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a3/