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We establish the non-perturbative validity of the gauge anomaly cancellation condition in an effective electroweak theory of massless fermions with finite momentum cut-off and Fermi interaction. The requirement that the current is conserved…

High Energy Physics - Phenomenology · Physics 2021-02-03 Vieri Mastropietro

If the Standard Model is understood as the first term of an effective field theory, the anomaly-cancellation conditions have to be worked out and fulfilled order by order in the effective field-theory expansion. We bring attention to this…

High Energy Physics - Phenomenology · Physics 2020-11-20 Oscar Cata , Wolfgang Kilian , Nils Kreher

We consider the cohomological classification of the 4+2-dimensional topological field, which is proposed by L\"uscher, for SU(2)_L \times U(1)_Y electroweak theory. The dependence on the admissible abelian gauge field of U(1)_Y is…

High Energy Physics - Lattice · Physics 2009-10-31 Yoshio Kikukawa , Yoichi Nakayama

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

The anomaly cancellation is a basic property of the Standard Model, crucial for its consistence. We consider a lattice chiral gauge theory of massless Wilson fermions interacting with a non-compact massive U(1) field coupled with left and…

High Energy Physics - Lattice · Physics 2023-03-07 Vieri Mastropietro

We discuss extensions of the Standard Model through extending the electroweak gauge symmetry. An extended electroweak symmetry requires a list of extra fermionic and scalar states. The former is necessary to maintain cancellation of gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 Otto C. W. Kong

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However,…

High Energy Physics - Theory · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

The quantization of the electrical charge in the electrodynamics and of the hypercharge in the standard model are imposed in the theory based not on theoretical arguments but on the experimental observations. In this paper we propose a…

High Energy Physics - Phenomenology · Physics 2018-12-05 Renata Jora

The current flow from the bulk is due to the anomaly on the brane-but the absence of current flow is not, necessarily, due to anomaly cancellation, but to the absence of the chiral zero modes themselves, due to the existence of the layered…

High Energy Physics - Lattice · Physics 2014-11-20 Stam Nicolis

In the framework of perturbation theory, it is possible to put chiral gauge theories on the lattice without violating the gauge symmetry or other fundamental principles, provided the fermion representation of the gauge group is…

High Energy Physics - Lattice · Physics 2009-10-31 Martin Lüscher

In a minimal extension of the Standard Model, in which new neutral fermions have been introduced, we show that the requirement of vanishing anomalies fixes the hypercharges of all fermions uniquely. This naturally leads to electric charge…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Nowakowski , A. Pilaftsis

Recently new methods have been introduced to investigate the non-renormalization properties of the anomalies at a non perturbative level and in presence of a lattice. The issue is relevant in a number of problems ranging from the…

High Energy Physics - Lattice · Physics 2023-12-19 V. Mastropietro

The interrelation between quantum anomalies and electromagnetic fields leads to a series of non-dissipative transport effects in QCD. In this work we study anomalous transport phenomena with lattice QCD simulations using improved staggered…

High Energy Physics - Lattice · Physics 2022-12-06 Bastian B. Brandt , Francesca Cuteri , Gergely Endrődi , Eduardo Garnacho Velasco , Gergely Markó

The anomaly cancellation condition of the Standard Model may be unnatural in theories with extra dimensions as an anomaly of a low-energy 4-dimensional theory can be canceled by an inflow from a bulk. This inflow may give rise to an…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

A lattice-based model exhibits an unusual conductivity when it is subjected to both a static magnetic field and electromagnetic radiation. This conductivity anomaly may explain some aspects of the recently observed "zero-resistance states".…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. C. Kimball , Keeyung Lee

The effective theory describing infinite mass particles with a given velocity, has a great interest in heavy flavor physics. It has the unpleasant characteristic that the energy spectrum is unbounded from below; this fact is the source of…

High Energy Physics - Phenomenology · Physics 2010-11-01 Ugo Aglietti

When M-theory is compactified on G_2-holonomy manifolds with conical singularities, charged chiral fermions are present and the low-energy four-dimensional theory is potentially anomalous. We reconsider the issue of anomaly cancellation,…

High Energy Physics - Theory · Physics 2010-04-05 Adel Bilal , Steffen Metzger

We point out a novel possible mechanism by which the electroweak hierarchy problem can be avoided in the (effective) quantum field theory. Assuming the existence of a UV complete underlying fundamental theory and treating the cutoff scale…

High Energy Physics - Phenomenology · Physics 2015-01-14 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner , Hermann Nicolai

In quantum gauge theories, anomaly cancellation severely restricts the allowed patterns of chiral charges. Here we show that, in a phenomenologically motivated framework for light minicharged particles, the anomaly cancellation conditions…

High Energy Physics - Phenomenology · Physics 2026-04-02 Junseok Lee , Fuminobu Takahashi , Yu-Dai Tsai

A cosmology inspired structure for phase space is introduced, which leads to finitization and lattice-like discretization of position and momentum eigenvalues in a preferred, cosmic frame. Lorentz invariance is broken at very high energies,…

High Energy Physics - Theory · Physics 2007-05-23 Helio Fagundes
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