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We study chiral symmetries of fermionic non commutative dipole theories. By using Fujikawa's approach we obtain explicit expressions of the anomalies for Dirac and chiral fermions in 2 and 4 dimensions.

High Energy Physics - Theory · Physics 2009-11-07 D. H. Correa , G. S. Lozano , E. F. Moreno , F. A. Schaposnik

A recent derivation of the interpolation between the free energy and conformal anomaly for free fields on spheres is generalised to hemispheres with Neumann (N) and Dirichlet (D) conditions at the rim for GJMS scalar fields. It is shown…

High Energy Physics - Theory · Physics 2017-10-27 J. S. Dowker

We show that the gauge and metric field contribution to the axial anomaly of a four-dimensional massless Lifshitz fermion theory with anisotropy scaling exponent z is identical to the relativistic case, hereby extending the results found in…

High Energy Physics - Theory · Physics 2015-05-30 Ioannis Bakas

Spontaneous breaking of discrete symmetries play non-trivial role in many well-motivated particle physics models. However, it leads to a network of cosmologically unwanted domain walls (DWs) which can be made unstable by introducing a bias…

High Energy Physics - Phenomenology · Physics 2026-04-06 Dipendu Bhandari , Debasish Borah , Indrajit Saha

We present scheme-independent calculations of the anomalous dimensions $\gamma_{\bar\psi\psi,IR}$ and $\gamma_{\bar\chi\chi,IR}$ of fermion bilinear operators $\bar\psi\psi$ and $\bar\chi\chi$ at an infrared fixed point in an asymptotically…

High Energy Physics - Lattice · Physics 2023-09-14 Thomas A. Ryttov , Robert Shrock

We study constraints on the space of $d=2$ fermionic CFTs as a function of non-perturbative anomalies exhibited under a fermionic discrete symmetry group $G^f$, focusing our attention also on cases where $G^f$ is non-abelian or presents a…

High Energy Physics - Theory · Physics 2021-12-03 Andrea Grigoletto

Precision measurements of anomalous quartic couplings of electroweak gauge bosons allow us to search for deviations of the Standard Model predictions and signals of new physics. Here, we obtain the constraints on anomalous quartic gauge…

High Energy Physics - Phenomenology · Physics 2023-11-17 O. J. P. Eboli , M. C. Gonzalez-Garcia , Matheus Martines

A possible formulation of chiral gauge theories with an anomalous fermion content is re-examined in light of the lattice framework based on the Ginsparg-Wilson relation. It is shown that the fermion sector of a wide class of anomalous…

High Energy Physics - Lattice · Physics 2009-11-10 Kosuke Matsui , Hiroshi Suzuki

It was shown recently that boundary terms of conformal anomalies recover the universal contribution to the entanglement entropy and also play an important role in the boundary monotonicity theorem of odd-dimensional quantum field theories.…

High Energy Physics - Theory · Physics 2016-11-07 Kuo-Wei Huang

We discuss an isomorphism between the possible anomalies of $(d+1)$-dimensional quantum field theories with $\mathbb{Z}_{2}$ unitary global symmetry, and those of $d$-dimensional quantum field theories with time-reversal symmetry…

High Energy Physics - Theory · Physics 2020-09-02 Clay Cordova , Kantaro Ohmori , Shu-Heng Shao , Fei Yan

This work deals with the behavior of fermions in the background of kinklike structures in the two-dimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the…

High Energy Physics - Theory · Physics 2019-01-08 D. Bazeia , A. Mohammadi , D. C. Moreira

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…

High Energy Physics - Theory · Physics 2009-11-10 C. A. Scrucca , M. Serone

Starting from considerations of Bosons at the real life Compton scale we go on to a description of Fermions, specifically the Dirac equation in terms of an underlying noncommutative geometry described by the Dirac $\gamma$ matrices and…

General Physics · Physics 2007-07-18 Burra G. Sidharth

We classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell…

High Energy Physics - Phenomenology · Physics 2026-05-29 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

In the free $\Box^k$ scalar conformal field theory, there exist conserved and partially-conserved higher-spin currents. We study their anomalous dimensions associated with $\phi^{2n}$ interaction in the $\epsilon$ expansion. We derive…

High Energy Physics - Theory · Physics 2024-02-01 Yongwei Guo , Wenliang Li

In the presence of boundaries, the quantum anomalies acquire additional boundary terms. In odd dimensions the integrated conformal anomaly, for which the bulk contribution is known to be absent, is non-trivial due to the boundary terms.…

High Energy Physics - Theory · Physics 2023-09-21 Amin Faraji Astaneh , Sergey N. Solodukhin

We study the polarization tensor of a Dirac field in $(3+1)$ dimensions confined to a half space -- a problem motivated by applications to the condensed matter physics, and to Topological Insulators in particular. Although the Pauli-Villars…

High Energy Physics - Theory · Physics 2021-02-08 I. Fialkovsky , M. Kurkov , D. Vassilevich

Many extensions of the Standard Model include an extra gauge boson, whose couplings to fermions are constrained by the requirement that anomalies cancel. We find a general solution to the resulting diophantine equations in the plausible…

High Energy Physics - Theory · Physics 2020-10-21 B C Allanach , Ben Gripaios , Joseph Tooby-Smith

A second rank antisymmetric tensor field is proposed as an alternative to the Higgs scalar. No mass term is allowed by the symmetries. At the scale where the asymptotically free chiral couplings of the fermions grow large, condensates of…

High Energy Physics - Phenomenology · Physics 2016-05-10 C. Wetterich

On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson relation is employed for the fermion…

High Energy Physics - Lattice · Physics 2009-11-07 Yoshio Kikukawa , Hiroshi Suzuki