Abstract:
Two-loop counterterms are calculated in the nonlinear two-dimensional bosonic sigma model for which the target-space is an arbitrary affine-metric manifold. Some examples of nonflat target-manifolds resulting in ultraviolet-finite sigma models are exhibited.
Citation:
V. V. Belokurov, V. E. Tarasov, “Ultraviolet finiteness of nonlinear two-dimensional sigma models on affine-metric manifolds”, TMF, 78:3 (1989), 471–474; Theoret. and Math. Phys., 78:3 (1989), 334–337
This publication is cited in the following 5 articles:
Vasily E. Tarasov, “Generalization of Noether Theorem and action principle for non-Lagrangian theories”, Communications in Nonlinear Science and Numerical Simulation, 128 (2024), 107601
Vasily E. Tarasov, “Metric-affine gravity: Nonmetricity of space as dark matter/energy ?”, Physics of the Dark Universe, 42 (2023), 101326
V. E. Tarasov, “Quantum dissipative systems I.Canonical quantization and quantum Liouville equation”, Theoret. and Math. Phys., 100:3 (1994), 1100–1112
V. E. Tarasov, “Quantum dissipative systems II. String in curved affine-metric space-time”, Theoret. and Math. Phys., 101:1 (1994), 1184–1190
Vasily E. Tarasov, “Bosonic string in affine-metric curved space”, Physics Letters B, 323:3-4 (1994), 296