Anomalies in orbifold field theories

Scrucca, Claudio A.; Serone, Marco; Silvestrini, L.; Zwirner, Fabio

doi:10.1016/s0370-2693(01)01430-7

Cited by 94 publications

(126 citation statements)

References 16 publications

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“…K is the usual modified Bessel function [30]. The singularities of E 1 can arise for specific values of s, from poles of the Gamma functions in the rhs of the first line in 16 16 An alternative to using (C.6) is to make a simple binomial expansion of the parenthesis under the sum in (C. The singularities of E1 given in (C.8) arise now from either the Gamma functions (if s is a negative integer or zero) and from the usual singularity of ζ-function at 2k + 2s = 1, (if s is ±1/2, −3/2, −5/2, −7/2, · · ·).…”

Section: Jhep03(2005)009mentioning

confidence: 99%

Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds.

Ghilencea¹

2005

J. High Energy Phys.

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Higher derivative operators as loop counterterms in one-dimensional field theory orbifolds Abstract: Using a 5D N = 1 supersymmetric toy-model compactified on S 1 /(Z 2 × Z 2 ), with a "brane-localised" superpotential, it is shown that higher (dimension) derivative operators are generated as one-loop counterterms to the (mass) 2 of the zero-mode scalar field, to ensure the quantum consistency of the model. Such operators are just a result of the compactification and integration of the bulk modes. They are relevant for the UV momentum scale dependence of the (mass) 2 of the zero-mode scalar field, regarded as a Higgs field in more realistic models. While suppressed for a small compactification radius R, these operators can affect the predictive power of models with a large value for R. A general method is also provided for a careful evaluation of infinite sums of 4D divergent loop-integrals (of Feynman diagrams) present in field theory orbifolds. With minimal changes, this method can be applied to specific orbifold models for a simple evaluation of their radiative corrections and the overall divergences.

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Section: Jhep03(2005)009mentioning

confidence: 99%

Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds.

Ghilencea¹

2005

J. High Energy Phys.

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“…This result was derived in Ref. 52 within the equivalent formulation of this model as an S 1 /(Z 2 × Z ′ 2 ) orbifold, as described before. It has also been shown in Ref.…”

Section: Bulk Fermions On Smentioning

confidence: 66%

Anomalies in Field Theories With Extra Dimensions

Scrucca

Serone

2004

Int. J. Mod. Phys. A

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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 orbifold singularities and discrete Wilson lines, and the new cancellation mechanisms that are becoming available. We conclude with a very brief discussion on global and parity anomalies.

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“…The orbifold allows us to obtain chiral fermions, and the fermion fields generally contribute to anomalies at boundaries [80,81]. In our model, U(1) V charges of the fermion fields that have the Neumann boundary condition at y = 0 tend to become anomalous.…”

Section: Overview Of the E 6 Modelmentioning

confidence: 99%

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

Kojima

Takenaga

Yamashitâ

2017

J. High Energ. Phys.

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Abstract:We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on S 1 /Z 2 . The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional components of gauge fields. We derive one-loop effective potentials for the zero modes of the gauge fields in SU(7), SU(8), SO(10), and E 6 models. In each model, the rank of the residual gauge symmetry that respects the boundary condition imposed at the orbifold fixed points is higher than that of the standard model. We verify that the residual symmetry is broken to the standard model gauge symmetry at the global minima of the effective potential for certain sets of bulk fermion fields in each model.

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Anomalies in orbifold field theories

Cited by 94 publications

References 16 publications

Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds.

Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds.

Anomalies in Field Theories With Extra Dimensions

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

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