2004
DOI: 10.1142/s0217751x04018518
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Anomalies in Field Theories With Extra Dimensions

Abstract: We give an overview of the issue of anomalies in field theories with extra dimensions. We start by reviewing in a pedagogical way the computation of the standard perturbative gauge and gravitational anomalies on non-compact spaces, using Fujikawa's approach and functional integral methods, and discuss the available mechanisms for their cancellation. We then generalize these analyses to the case of orbifold field theories with compact internal dimensions, emphasizing the new aspects related to the presence of o… Show more

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Cited by 53 publications
(61 citation statements)
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“…Although the 4D massless fermion spectrum of the model is anomaly free by construction, being identical to the SM spectrum, the 5D theory needs CS terms to restore 5D gauge invariance fully, because localized anomalies (globally vanishing in 4D once integrated over the internal space) appear at the UV and IR branes (see [58] for a review). 15 Recall that the warping does not alter the localization pattern of anomalies, which is then as in flat space [59].…”
Section: A Comment On Anomaliesmentioning
confidence: 99%
See 1 more Smart Citation
“…Although the 4D massless fermion spectrum of the model is anomaly free by construction, being identical to the SM spectrum, the 5D theory needs CS terms to restore 5D gauge invariance fully, because localized anomalies (globally vanishing in 4D once integrated over the internal space) appear at the UV and IR branes (see [58] for a review). 15 Recall that the warping does not alter the localization pattern of anomalies, which is then as in flat space [59].…”
Section: A Comment On Anomaliesmentioning
confidence: 99%
“…at the other end-point, which is equivalent to sending the other boundary to infinity (see e.g. [58] for a derivation of this result). Let us consider the UV brane, where both U (1) factors are unbroken, and focus on the possible anomalies involving the gauge field X − .…”
Section: A Comment On Anomaliesmentioning
confidence: 99%
“…Anomalies of field theories on orbifolds are well understood [26], and also the sixdimensional case has been discussed in detail [21,27,28,22,29]. In general the orbifold anomaly has bulk and brane contributions.…”
Section: Anomaliesmentioning
confidence: 99%
“…Since the two must describe a single spinor field on C, however, they must be related by Eq. (5.4), which implies n 1,2 to be related as 13) and consequently…”
Section: Massive Statesmentioning
confidence: 99%