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This article is cited in 2 scientific papers (total in 2 papers)
Infrared Asymptotics of the Heat Kernel and Nonlocal Effective Action
A. O. Barvinsky, D. V. Nesterov P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
We review recent results in the nonperturbative theory of the heat kernel and its late-time asymptotic properties responsible for the infrared behavior of the quantum effective action for massless theories. In particular, we derive a generalization of the Coleman–Weinberg potential for theories with an inhomogeneous background field. This generalization represents a new nonlocal, nonperturbative action accounting for the effects in a transition domain between the space-time interior and its infinity. In four dimensions, these effects delocalize the logarithmic Coleman-Weinberg potential, while in $d>4$, they are dominated by a new powerlike, renormalization-independent nonlocal structure. We also consider the nonperturbative behavior of the heat kernel in a curved space-time with an asymptotically flat geometry. In particular, we analyze the conformal properties of the heat kernel for a conformally invariant scalar field and discuss the problem of segregating the local cosmological term from the nonlocal effective action.
Keywords:
effective action, nonlocal field theories, Schwinger–DeWitt expansion.
Received: 02.11.2004
Citation:
A. O. Barvinsky, D. V. Nesterov, “Infrared Asymptotics of the Heat Kernel and Nonlocal Effective Action”, TMF, 143:3 (2005), 328–356; Theoret. and Math. Phys., 143:3 (2005), 760–781
Linking options:
https://www.mathnet.ru/eng/tmf1817https://doi.org/10.4213/tmf1817 https://www.mathnet.ru/eng/tmf/v143/i3/p328
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Abstract page: | 422 | Full-text PDF : | 209 | References: | 44 | First page: | 1 |
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