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Related papers: Anomaly inflow mechanism using Wilson line

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Motivated by the consistency of a global anomaly with the second law of thermodynamics, we propose a form for the anomaly induced charge/energy transport in arbitrary even dimensions. In a given dimension, this form exhausts all second law…

High Energy Physics - Theory · Physics 2011-11-04 R. Loganayagam

We study the gauge anomaly ${\cal A}$ defined on a 4-dimensional infinite lattice while keeping the lattice spacing finite. We assume that (I) ${\cal A}$ depends smoothly and locally on the gauge potential, (II) ${\cal A}$ reproduces the…

High Energy Physics - Lattice · Physics 2009-10-31 Hiroshi Suzuki

We analyze the role played by anomaly poles in an anomalous gauge theory by discussing their signature in the corresponding off-shell effective action. The origin of these contributions, in the most general kinematical case, is elucidated…

High Energy Physics - Phenomenology · Physics 2009-12-15 Roberta Armillis , Claudio Coriano , Luigi Delle Rose , Marco Guzzi

We study non-invertible global symmetries in 4d quantum field theories, aiming to generalize existing discussions to theories with multiple instantons and axions, and to make the subject more accessible to particle phenomenology. Building…

High Energy Physics - Theory · Physics 2025-10-22 Sungwoo Hong , Hyungyu Kim , Sung Mook Lee , Dongmin Seo

A gauge invariant Wilsonian effective action is constructed for pure SU(N) Yang-Mills theory by formulating the corresponding flow equation. Manifestly gauge invariant calculations can be performed i.e. without gauge fixing or ghosts.…

High Energy Physics - Theory · Physics 2009-11-07 Tim R. Morris

The gauge invariance of some massless Yang-Mills models can be proved for a large class of groups using Polchinski flow equations approach. In this paper we provide an alternative proof based on the causal approach. The proof is purely…

High Energy Physics - Theory · Physics 2018-04-24 D. R. Grigore

We consider loop observables in gauged Wess-Zumino-Witten models, and study the action of renormalization group flows on them. In the WZW model based on a compact Lie group G, we analyze at the classical level how the space of…

High Energy Physics - Theory · Physics 2014-11-20 Costas Bachas , Samuel Monnier

Using the anomaly inflow mechanism, we compute the flavor/Lorentz non-invariant contribution to the partition function in a background with a U(1) isometry. This contribution is a local functional of the background fields. By identifying…

High Energy Physics - Theory · Physics 2015-06-17 Kristan Jensen , R. Loganayagam , Amos Yarom

We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-dimensional manifolds to the category of line bundles with…

Differential Geometry · Mathematics 2007-05-23 Tosiaki Kori

Lower-dimensional (hyper)surfaces that can carry gauge or gauge/gravitational anomalies occur in many areas of physics: one-plus-one-dimensional boundaries or two-dimensional defect surfaces in condensed matter systems, four-dimensional…

High Energy Physics - Theory · Physics 2016-11-23 Adel Bilal

By carrying out a systematic expansion of Feynman integrals in the lattice spacing, we show that the axial anomaly in the U(1) lattice gauge theory with Wilson fermions, as determined in one-loop order from an irrelevant lattice operator in…

High Energy Physics - Lattice · Physics 2009-10-31 H. J. Rothe , Neda Sadooghi

We construct the Wess-Zumino terms from anomalies in case of quasigroups for the following situations. One is effective gauge field theories of Nambu-Goldstone fields associated with spontaneously broken global symmetries and the other is…

High Energy Physics - Theory · Physics 2009-10-30 J. Gomis , K. Kamimura , R. Kuriki

Boundary operators are gauge invariant operators whose form factors correspond to boundary contributions of BCFW shifts. In gauge theory, the boundary operators contain infinite series, which are constrained by gauge symmetry. We compute…

High Energy Physics - Theory · Physics 2022-12-12 Rijun Huang , Qingjun Jin , Yi Li

Anomalies are renormalization group invariants that constrain the dynamics of quantum field theories. We show that certain anomalies for discrete global symmetries imply that the underlying theory either spontaneously breaks its generalized…

High Energy Physics - Theory · Physics 2020-01-08 Clay Cordova , Kantaro Ohmori

Recently a new picture has been developed for examining Wilson lines, and the corresponding anomalous dimensions which govern their renormalization properties. By making a particular coordinate transform, the calculation of the cusp…

High Energy Physics - Theory · Physics 2012-05-29 D. J. Miller , C. D. White

We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless…

High Energy Physics - Theory · Physics 2009-10-31 M. Bonini , F. Vian

We construct various kinds of gauged noncommutative WZW models. In particular, axial gauged noncommutative U(2)/U(1) WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear $\sigma$-model.

High Energy Physics - Theory · Physics 2009-11-07 A. M. Ghezelbash

We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. We include a non-perturbative "fuzzy-bag" contribution which is added to the one-loop perturbative potential for the Wilson line. We confirm that, at…

High Energy Physics - Lattice · Physics 2012-07-05 Adrian Dumitru , Dominik Smith

We study fermion localization in gauge theory space. We consider four dimensional product gauge groups in which light chiral fermions transform under different gauge factors of the product group. This construction provides a suppression of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Witold Skiba , David Smith

We propose new gauge invariant actions for open NS, heterotic NS, and closed NS-NS superstring field theories. They are based on the large Hilbert space, and have Wess-Zumino-Witten-like expressions which are the $\mathbb{Z}_{2}$-reversed…

High Energy Physics - Theory · Physics 2018-07-17 Keiyu Goto , Hiroaki Matsunaga