Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2014)027
Keywords
Conformal and W Symmetry; Anomalies in Field and String Theories
Categories
Funding
- John Templeton Foundation
- Interuniversity Attraction Poles Programme initiated by the Belgian Science Policy [P7/37]
- Odysseus program of the FWO
- STFC [ST/L000687/1, ST/L000296/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000687/1, ST/L000296/1] Funding Source: researchfish
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There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we present a complete analysis of possible scale anomalies in correlation functions of the trace of the stress-energy tensor in such theories. We find that 2-, 3-and 4-point functions have a non-trivial anomaly while connected higher point functions are non-anomalous. We pay special attention to semi-local contributions to correlators (terms with support on a set containing both coincident and separated points) and show that the anomalies in 3-and 4-point functions can be accounted for by such contributions. We discuss the implications of the our results for the question of scale versus conformal invariance.
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