Geodesic
Quantum dissipative systems~II. String in curved affine-metric space-time
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 1, pp. 38-46

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A closed bosonic string in a curved affine-metric spacetime is considered as an example of dissipative quantum field theory. The conformal anomaly of the trace of the energy-momentum tensor for the string on the affine-metric manifold is investigated. The two-loop metric beta function for the two-dimensional nonlinear dissipative sigma model is calculated. Examples of nonflat manifolds that lead to ultraviolet-finite sigma models are found. 
@article{TMF_1994_101_1_a2,
     author = {V. E. Tarasov},
     title = {Quantum dissipative {systems~II.} {String} in curved affine-metric space-time},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {38--46},
     publisher = {mathdoc},
     volume = {101},
     number = {1},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_1_a2/}
}
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V. E. Tarasov. Quantum dissipative systems~II. String in curved affine-metric space-time. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 1, pp. 38-46. http://geodesic.mathdoc.fr/item/TMF_1994_101_1_a2/