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Renormalization on noncommutative torus
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DOI：10.1140/epjc/s10052-016-4022-z.png)
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摘要
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We study a self-interacting scalar phi(4) theory on the d-dimensional noncommutative torus. We determine, for the particular cases d = 2 and d = 4, the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix theta.
Keyword:
QUANTUM-FIELD THEORY
HEAT KERNEL
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期刊
IF:
4.8
论文数:
1.9W
被引数:
4.7W
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