Non-local conformal anomalies

We analyse scale anomalies in Lifshitz field theories, formulated as the relative cohomology of the scaling operator with respect to foliation preserving diffeomorphisms. We construct a detailed framework that enables us to calculate the anomalies for any number of spatial dimensions, and for any value of the dynamical exponent. We derive selection rules, and establish the anomaly structure in diverse universal sectors. We present the complete cohomologies for various examples in one, two and three space dimensions for several values of the dynamical exponent. Our calculations indicate that all the Lifshitz scale anomalies are trivial descents, called B-type in the terminology of conformal anomalies. However, not all the trivial descents are cohomologically non-trivial. We compare the conformal anomalies to Lifshitz scale anomalies with a dynamical exponent equal to one.

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“…12 We will, therefore, be interested in the space of cocycles of the form E = √ −gσφ, where φ satisfies:…”

Section: Jhep02(2015)078mentioning

confidence: 99%

“…Here, we will need in addition to introduce the foliation data. This is a generalization of trace anomalies [11][12][13][14][15]. The latter have attracted a renewed interest recently in relation to the four-dimensional a theorem [16] generalization of the two-dimensional c-theorem [17].…”

Section: Jhep02(2015)078mentioning

confidence: 99%

Lifshitz scale anomalies

Arav

Chapman

2015

J. High Energ. Phys.

106

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“…When the scalar fields are quantized in the classical background geometry (6.2) a conformal anomaly will show up. The conformal anomaly results in the non-vanishing trace for the stress tensor [24]:…”

Section: Hawking Radiation A) Schwarzschild Gaugementioning

confidence: 99%

Classical and semiclassical properties of extremal black holes with dilaton and modulus fields

Cadoni

Mignemi

1994

Nuclear Physics B

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We discuss both classical and semiclassical properties of extremal black holes in theories where the dilaton and a modulus field are present. We find that the corresponding 2-dim geometry is asymptotically anti-de Sitter rather then asymptotically flat as in the purely dilatonic case. This fact has many important consequences, which we analyze at length, both for the classical behaviour and for the thermodynamical properties of the black hole. We also study the Hawking evaporation process in the semiclassical approximation. The calculations strongly indicates the emergence of a stable ground state as the end point of the process. Some comments are made about the relevance of our results for the problem of information loss in black hole physics.

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“…An important observation is that this effective action is determined at a conformal fixed point by the structure of the Weyl anomaly. In 4 dimensions the anomaly is given by [5] …”

Section: Introductionmentioning

confidence: 99%