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We consider the Standard Model with a new scalar field $X$ which is a $n_X^{}$ representation of the $SU(2)_L$ with a hypercharge $Y_X$. The renormalization group running effects on the new scalar quartic coupling constants are evaluated.…

High Energy Physics - Phenomenology · Physics 2015-06-17 Yuta Hamada , Kiyoharu Kawana , Koji Tsumura

Triviality and Landau poles are often greeted as harbingers of new physics at 1 TeV. After briefly reviewing the ideas behind this, a model of singular quantum mechanics is introduced. Its ultraviolet structure, as well as some features of…

High Energy Physics - Theory · Physics 2007-05-23 Rolf Tarrach

Following previous work by one of the authors [M.V.Altaisky, Unifying renormalization group and the continuous wavelet transform, Phys. Rev. D 93, 105043 (2016).], we develop a new approach to the renormalization group, where the effective…

High Energy Physics - Theory · Physics 2023-10-30 Mikhail Altaisky , Michal Hnatich

There has been a recent revival in understanding the spontaneous scalarization phenomenon in scalar-tensor gravity as a phase transition. Using the tools of the Landau theory, we now know that first-order transitions where scalarization…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Kalin V. Staykov , Fethi M. Ramazanoğlu , Daniela D. Doneva , Stoytcho S. Yazadjiev

We develop the idea that renormalization, decoupling of heavy particle effects from low energy physics and the construction of effective field theories are intimately linked to the momentum space entanglement of disparate modes of an…

High Energy Physics - Theory · Physics 2020-11-12 Bingzheng Han , Ratindranath Akhoury

It is shown that the commonly accepted relationship between the Landau singularity in the running coupling constant of QED or QCD and the renormalon singularities in the Borel sums of perturbation theory expansions is only a particular…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Peris , E. de Rafael

We investigate the combined effects of a uniform magnetic field and boundary conditions on vacuum energy and topological mass generation in a coupled scalar field theory. The system consists of a real scalar field, subject to Dirichlet…

High Energy Physics - Theory · Physics 2025-12-11 A. J. D. Farias Junior , Andrea Erdas , Herondy F. Santana Mota

Renormalization group methods are applied to a scalar field within a finite, nonlocal quantum field theory formulated perturbatively in Euclidean momentum space. It is demonstrated that the triviality problem in scalar field theory, the…

General Physics · Physics 2021-11-22 M. A. Green , J. W. Moffat

It is shown that analyses at the electroweak scale can be significantly affected due to Landau pole effects in certain regions of the parameter space. This phenomenon arises due to a large magnification of errors of the input parameters…

High Energy Physics - Phenomenology · Physics 2016-09-01 Pran Nath , Jizhi Wu , Richard Arnowitt

We show that loop-induced processes involving new physics particles can readily satisfy Landau Equation and trigger triangular singularities at high energy colliders, leading to fully visible Standard Model final states. Four-particle…

High Energy Physics - Phenomenology · Physics 2022-11-24 Yu Gao , Yu Jia , Yugen Lin , Jia-Yue Zhang

The existence or not of Landau poles is one of the oldest open questions in non-asymptotic quantum field theories. We investigate the Landau pole issue in two condensed matter systems whose long-wavelength physics is described by…

Strongly Correlated Electrons · Physics 2020-06-11 Shao-Kai Jian , Edwin Barnes , Sankar Das Sarma

The classical kinetic theory of one-component self-interacting scalar fields is formulated in the broken symmetry phase and applied to the phenomenon of Landau damping. The domain of validity of the classical approach is found by comparing…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Patkos , Zs. Szep

In the Standard Model of particle physics, the mass of the Higgs particle can be linked to the scale at which the Standard Model breaks down due to a Landau pole/triviality problem: for a Higgs mass somewhat higher than the measured value,…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Gustavo P. de Brito , Astrid Eichhorn , Ludivine Fausten

We investigate one-loop renormalization group evolutions of extended sectors of Yukawa type couplings. It is shown that Landau Poles which usually provide necessary low energy upper bounds that saturate quickly with increasing initial value…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. Mambrini , G. Moultaka

We reconsider the possibility that all standard model gauge couplings blow up at a common scale in the ultraviolet. The simplest implementation of this idea assumes supersymmetry and the addition of a single vector-like generation of matter…

High Energy Physics - Phenomenology · Physics 2017-09-13 Christopher D. Carone , Shikha Chaurasia , John C. Donahue

If a quantum field theory has a Landau pole, the theory is usually called 'sick' and dismissed as a candidate for an interacting UV-complete theory. In a recent study on the interacting 4d O(N) model at large N, it was shown that at the…

High Energy Physics - Theory · Physics 2024-01-12 Paul Romatschke

Scalar $\lambda\phi^4$ theory in 3+1D, for a positive coupling constant $\lambda>0$, is known to have no interacting continuum limit, which is referred to as quantum triviality. However, it has been recently argued that the theory in 3+1D…

High Energy Physics - Theory · Physics 2026-02-04 Ryan D. Weller

The effective theory of low frequency fluctuations of selfinteracting scalar fields is constructed in the broken symmetry phase. The theory resulting from integrating fluctuations with frequencies much above the spontanously generated mass…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Patkos , Zs. Szep

The structure of the renormalization group equations for the low energy effective theory of gravity coupled to a scalar field is presented. An approximate solution to these equations with a finite number of independent renormalized…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mario Atance , José Luis Cortés

Starting from generic quantum effects at the Planck scale M_P, we find that the renormalization group running of the cosmological constant (CC) at low energies is possible if there is a smooth decoupling of all massive particles from M_P to…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ilya L. Shapiro , Joan Sola
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