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We establish an explicit algebra isomorphism between the quantum reflection algebra for the $U_q(\hat{sl_2})$ R-matrix and a new type of current algebra. These two algebras are shown to be two realizations of a special case of tridiagonal…

数学物理 · 物理学 2015-05-13 P. Baseilhac , K. Shigechi

The discovery of the accelerating universe indicates strongly the presence of a scalar field which is not only expected to solve today's version of the cosmological constant problem, or the fine-tuning and the coincidence problems, but also…

广义相对论与量子宇宙学 · 物理学 2010-02-24 Yasunori Fujii , Kensuke Homma

We review how a certain effective chiral Lagrangian approach to pi pi scattering, pi K scattering and eta-prime decay to eta pi pi provides evidence for the existence of light scalars sigma(550) and kappa(900) as well as describing the…

高能物理 - 唯象学 · 物理学 2010-12-13 Deirdre Black , Amir H. Fariborz , Joseph Schechter

We present a new fast method for simulating pencil-beam type light-cones, using the MLAPM-code (Multi Level Adaptive Particle Mesh) with light-cone additions. We show that by a careful choice of the light-cone orientation, it is possible to…

天体物理学 · 物理学 2007-05-23 P. Hein"am"aki , I. Suhhonenko , E. Saar , Maret Einasto , Jaan Einasto , Heidi Virtanen

In this talk, an overview of the status of the light scalar mesons in the context of the non linear chiral Lagrangian of references [1-3] is presented. The evidence for the existence of a scalar nonet below 1 GeV is reviewed, and it is…

高能物理 - 唯象学 · 物理学 2009-10-31 Amir H. Fariborz

We derive the expressions on the observed light-cone for some relevant cosmological gauge invariant variables, such as the Mukhanov-Sasaki variable and $E$- and $B$- modes of the tensor perturbations. Since the structure of the light-cone…

广义相对论与量子宇宙学 · 物理学 2023-06-13 Giuseppe Fanizza , Giovanni Marozzi , Matheus Medeiros

Light bosons can be found in large classes of theories beyond the Standard Model. These light bosons may not be ruled out by current experiments and, indeed, may even provide an explanation for some anomalous experimental results. The…

高能物理 - 唯象学 · 物理学 2009-03-30 David McKeen

We consider a quantum theory of elastic light scattering from macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following to the second quantized formalism we introduce a set of coupled and closed diagram…

量子物理 · 物理学 2017-01-17 Victoria Ezhova , Leonid Gerasimov , Dmitriy Kupriyanov

A real Lie algebra with a compatible Hilbert space structure (in the sense that the scalar product is invariant) is called a Hilbert-Lie algebra. Such Lie algebras are natural infinite-dimensional analogues of the compact Lie algebras; in…

表示论 · 数学 2017-11-02 Timothée Marquis , Karl-Hermann Neeb

Soft current algebras capture the infrared structure of scattering in asymptotically flat spacetimes, but an analogous algebraic description of finite-energy dynamics has been missing. We uncover an infinite-dimensional hard current algebra…

高能物理 - 理论 · 物理学 2026-01-16 Reiko Liu , Wen-Jie Ma

The potential of constraints on the angle alpha of the Unitarity Triangle from studies of B0 -> pi+ pi- pi0 decays is reviewed. The experimental inputs needed for an isospin analysis are starting to become available. The precision of…

高能物理 - 唯象学 · 物理学 2010-11-23 Jan Stark

A brief discussion of the recent interest in light scalar mesons motivates the study of a generalized linear sigma model. In an SU(3) flavor invariant version of the model there is a prediction that the the lighter scalars have sizeable…

高能物理 - 唯象学 · 物理学 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter

We use evaluation representations to give a complete classification of the finite-dimensional simple modules of twisted current algebras. This generalizes and unifies recent work on multiloop algebras, current algebras, equivariant map…

表示论 · 数学 2013-08-21 Michael Lau

We argue that classical scale invariance provides a technically natural solution to the problem of the radiative stability of the electroweak scale. Some realistic electroweak scale-invariant models are considered and their possible…

高能物理 - 唯象学 · 物理学 2013-03-26 Archil Kobakhidze

The analysis of the poles of the $\pi\pi$ scattering amplitude is shown to favour a dynamical origin of the sigma meson: it is created by a strongly attractive $\pi\pi$ interaction in the $J^{PC}=0^{++}I=0$ channel. In the limit…

高能物理 - 唯象学 · 物理学 2008-11-26 V. E. Markushin , M. P. Locher

The low-energy light-by-light cross section as determined by the nonlinear Euler-Heisenberg QED Lagrangian is evaluated in the presence of constant magnetic fields in the center-of-mass system of the colliding photons. This cross section…

高能物理 - 唯象学 · 物理学 2018-09-12 R. Baier , A. Rebhan , M. Wödlinger

We introduce a new method to include condensates in the light-cone Hamiltonian. By using a Gaussian approximation to the ordinary vacuum in a theory close to the light front, we derive an effective Hamiltonian on the light cone, which has…

高能物理 - 唯象学 · 物理学 2009-10-28 E. V. Prokhvatilov , H. W. L. Naus , H. --J. Pirner

For an accurate description of the polarized deep inelastic scattering at low $x$ including the logarithmic corrections, $\ln^2(1/x)$, is required. These corrections resummed strongly influence the behaviour of the spin structure functions…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Ziaja

It is suggested that quantum fluctuations of the light cone are at the origin of what appears at low energy to be a higher-dimensional structure over space-time. A model is presented which has but a finite number of Yang-Mills fields…

高能物理 - 理论 · 物理学 2009-10-28 J. Madore , J. Mourad

Twisted current algebras are fixed point subalgebras of current algebras under a finite group action. Special cases include equivariant map algebras and twisted forms of current algebras. Their finite-dimensional simple modules fall into…

表示论 · 数学 2017-08-17 Jean Auger , Michael Lau