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The axial gauge is applied to the analysis of Euclidean quantum gravity on manifolds with boundary. A set of boundary conditions which are completely invariant under infinitesimal diffeomorphisms require that spatial components of metric…

High Energy Physics - Theory · Physics 2009-10-30 Ivan G. Avramidi , Giampiero Esposito , Alexander Yu. Kamenshchik

We discuss the evaluation of the collinear single-logarithmic contributions to virtual electroweak corrections at high energies. More precisely, we proof the factorization of the mass singularities originating from loop diagrams involving…

High Energy Physics - Phenomenology · Physics 2009-01-07 Ansgar Denner , Stefano Pozzorini

A global anomaly in a chiral gauge theory manifests itself in different ways in the continuum and on the lattice. In the continuum case, functional integration of the fermion determinant over the whole space of gauge fields yields zero. In…

High Energy Physics - Lattice · Physics 2009-10-31 P. Mitra

We consider theories with gauged chiral fermions in which there are abelian anomalies, and no nonabelian anomalies (but there may be nonabelian gauge fields present). We construct an associated theory that is gauge-invariant,…

High Energy Physics - Theory · Physics 2008-02-03 Paul Federbush

We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from heterotic M-theory. We introduce a generalized longitudinal…

High Energy Physics - Theory · Physics 2008-11-26 C. van de Bruck , M. Dorca , R. H. Brandenberger , A. Lukas

Some of the basic issues related to the regularization and anomalies in gauge theory are reviewed, with particular emphasis on the recent development in lattice gauge theory. The generalized Pauli-Villars regularization is discussed from a…

High Energy Physics - Lattice · Physics 2007-05-23 Kazuo Fujikawa

Factorization is possible due to the universal behavior of Yang-Mills theories in soft and collinear limits. Here, we take a small step towards a more transparent understanding of these limits by proving a form of perturbative factorization…

High Energy Physics - Theory · Physics 2013-09-25 Ilya Feige , Matthew D. Schwartz

Chiral defect fermions in the background of an external, $2n$ dimensional gauge field are considered. Assuming first a finite extra dimension, we calculate the axial anomaly in a vector-like, gauge invariant model for arbitrary $n$, and the…

High Energy Physics - Lattice · Physics 2009-10-22 Yigal Shamir

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge…

High Energy Physics - Theory · Physics 2009-11-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We extend the argument presented by Benincasa, Boucher-Veronneau, and Cachazo to show that graviton tree amplitudes are well behaved under large complex deformations of the momenta of a pair of like-helicity gravitons. This shows that BCFW…

High Energy Physics - Theory · Physics 2008-11-26 Anthony Hall

The anomaly found by Callan and Harvey is shown to be cancelled in a three-dimensional noncommutative gauge theory coupled to a fermion with a mass function depending on one spatial coordinate (domain wall mass). This evaluation has been…

High Energy Physics - Theory · Physics 2008-11-26 M. Gomes , T. Mariz , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva , E. O. Silva

We analyze the validity of BCFW recursion relations for currents of n - 2 gluons and two massive quarks, where one of the quarks is off shell and the remaining particles are on shell. These currents are gauge-dependent and can be used as…

High Energy Physics - Theory · Physics 2013-01-07 Ruth Britto , Alexander Ochirov

We investigate some aspects of anomaly cancellation realized by the subtraction of an anomaly pole, stressing on some of its properties in superspace. In a local formulation these subtractions can be described in terms of a physical scalar,…

High Energy Physics - Phenomenology · Physics 2011-06-07 Roberta Armillis , Claudio Coriano , Luigi Delle Rose , A. R. Fazio

We study gauge and gravitational anomalies of fermions and 2-form fields on eight-dimensional spin manifolds. Possible global gauge anomalies are classified by spin bordism groups $\Omega^{\text{spin}}_9(BG)$ which we determine by spectral…

High Energy Physics - Theory · Physics 2022-08-10 Yasunori Lee , Kazuya Yonekura

We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the…

High Energy Physics - Phenomenology · Physics 2023-07-05 Timothy Cohen , Xiaochuan Lu , Zhengkang Zhang

I derive a single factorization formula which summarizes all soft and collinear divergences of a tree-level gauge theory amplitude. The singular factor squared is in a certain sense the generalization of the Catani-Seymour dipole…

High Energy Physics - Phenomenology · Physics 2016-08-25 David A. Kosower

Concrete calculations have pointed out that amplitudes in perturbative gravity exhibit unanticipated cancellations taming their ultraviolet behaviour independently of supersymmetry. Similar ultraviolet behaviour of N=4 super-Yang-Mills and…

High Energy Physics - Theory · Physics 2008-11-26 N. E. J. Bjerrum-Bohr , Pierre Vanhove

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to the scenario in which the soft terms of the low-energy fields are induced by gravity. These theories allow for a natural suppression of flavour…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. F. Giudice , R. Rattazzi

The global chiral symmetry of a $SU(2)$ gauge theory is studied in the framework of renormalization group (RG). The theory is defined by the RG flow equations in the infrared cutoff $\L$ and the boundary conditions for the relevant…

High Energy Physics - Theory · Physics 2009-10-28 M. Bonini , M. D'Attanasio , G. Marchesini

In the presence of some forms of global anomalies, the equivalence theorem, which relates the interactions of longitudinal gauge bosons to those of the Goldstone bosons, is not always valid. This can occur when the Goldstone sector contains…

High Energy Physics - Phenomenology · Physics 2009-10-22 John F. Donoghue , Jusak Tandean