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Related papers: Large-N_c Relations Among Isgur-Wise Functions

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We study the beta-ensemble that represents conformal blocks of Liouville theory on the sphere. This quantity is related through AGT conjecture to the Nekrasov instanton partition function of 4d $\mathcal{N}=2$ SU(2) gauge theory with four…

High Energy Physics - Theory · Physics 2012-08-21 Jean-Emile Bourgine

We derive strong variance-based uncertainty relations for arbitrary two and more unitary operators by re-examining the mathematical foundation of the uncertainty relation. This is achieved by strengthening the celebrated Cauchy-Schwarz…

Quantum Physics · Physics 2022-01-25 Xiaoli Hu , Naihuan Jing

This article studies large $N$ limits of a coupled system of $N$ interacting $\Phi^4$ equations posed over $\mathbb{T}^{d}$ for $d=2$, known as the $O(N)$ linear sigma model. Uniform in $N$ bounds on the dynamics are established, allowing…

Probability · Mathematics 2021-01-12 Hao Shen , Scott Smith , Rongchan Zhu , Xiangchan Zhu

Using the OPE and the trace formalism, we have obtained a number of sum rules in the heavy quark limit of QCD that include the sum over all excited states for any value $j^P$ of the light cloud. We show that these sum rules imply that the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Le Yaouanc , L. Oliver , J. -C. Raynal

The Stokes-Einstein (SE) relation between the self-diffusion and shear viscosity coefficients operates in sufficiently dense liquids not too far from the liquid-solid phase transition. By considering four simple model systems with very…

Soft Condensed Matter · Physics 2021-10-27 Sergey Khrapak , Alexey Khrapak

The integral representation for Isgur -- Wise function (IWF) is obtained in the framework of instant--form relativistic Hamiltonian dynamics for mesons with one heavy quark. The upper and lower limits are calculated for the slope parameter…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. F. Krutov , O. I. Shro , V. E. Troitsky

Constraints on the Hubble parameter, $H_0$, via X-ray surface brightness and Sunyaev-Zel'dovich effect (SZE) observations of the galaxy clusters depend on the validity of the cosmic distance duality relation (DD relation), $\eta=…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-06 R. F. L. Holanda

We recently presented a series of dark energy theorems that place constraints on the equation of state of dark energy ($\wdark$), the ime-variation of Newton's constant ($\dot G$), and the violation of energy conditions in theories with…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-16 Paul J. Steinhardt , Daniel Wesley

The Seiberg-Witten prepotentials for N=2 SUSY gauge theories with N_f<2N_c fundamental multiplets are obtained from conformal N_f=2N_c theory by decoupling 2N_c-N_f multiplets of heavy matter. This procedure can be lifted to the level of…

High Energy Physics - Theory · Physics 2009-12-04 A. Marshakov , A. Mironov , A. Morozov

In unified gauge theories there exist renormalization group invariant relations among gauge and Yukawa couplings that are compatible with perturbative renormalizability, which could be considered as a Gauge-Yukawa Unification. Such…

High Energy Physics - Theory · Physics 2008-02-03 Jisuke Kubo , Myriam Mondragon , George Zoupanos

We test the distance--duality relation $\eta \equiv d_L / [ (1 + z)^2 d_A ] = 1$ between cosmological luminosity distance ($d_L$) from the JLA SNe Ia compilation (arXiv:1401.4064) and angular-diameter distance ($d_A$) based on Baryon…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-16 Cong Ma , Pier-Stefano Corasaniti

Previous work on t-b-\tau Yukawa-unified supersymmetry, as expected from SUSY GUT theories based on the gauge group SO(10), tended to have exceedingly large electroweak fine-tuning (EWFT). Here, we examine supersymmetric models where we…

High Energy Physics - Phenomenology · Physics 2015-06-11 Howard Baer , Sabine Kraml , Suchita Kulkarni

Neutron stars (NSs) are excellent laboratories for testing gravity theories as they are strongly self-gravitating bodies and have rich observational phenomena. However, strong-field gravity effects in NS could be degenerate with their…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Zexin Hu , Yong Gao , Lijing Shao

We show that the electroweak fine-tuning parameter \Delta_{\rm EW} derived from the well-known electroweak symmetry breaking condition written in terms of weak scale parameters leads to {\it a bound on fine-tuning in the MSSM} and explain…

High Energy Physics - Phenomenology · Physics 2013-06-13 Howard Baer , Vernon Barger , Peisi Huang , Dan Mickelson , Azar Mustafayev , Xerxes Tata

Using previously formulated sum rules in the heavy quark limit of QCD, we demonstrate that if the slope rho^2 = -xi'(1) of the Isgur-Wise function xi(w) attains its lower bound 3/4, then all the derivatives (-1)^L xi^(L)(1) attain their…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Jugeau , A. Le Yaouanc , L. Oliver , J. -C. Raynal

We propose a novel constraint on the gauge dynamics of strongly interacting gauge theories stemming from the a theorem. The inequality we suggest is used to provide a lower bound on the conformal window of four dimensional gauge theories.

High Energy Physics - Phenomenology · Physics 2013-03-08 Oleg Antipin , Marc Gillioz , Francesco Sannino

The Lee-Wick (LW) formulation of higher-derivative theories can be extended from one in which the extra degrees of freedom are represented as a single heavy, negative-norm partner for each known particle (N=2), to one in which a second,…

High Energy Physics - Phenomenology · Physics 2013-05-30 Richard F. Lebed , Russell H. TerBeek

We prove convergence of the 2- and 4-point fermionic observables of the FK-Ising model on simply connected domains discretised by a planar isoradial lattice in massive (near-critical) scaling limit. The former is alternatively known as a…

Probability · Mathematics 2022-09-21 S. C. Park

Critical probes of dark matter come from tests of its elastic scattering with nuclei. The results are typically assumed to be model-independent, meaning that the form of the potential need not be specified and that the cross sections on…

High Energy Physics - Phenomenology · Physics 2023-01-02 Matthew C. Digman , Christopher V. Cappiello , John F. Beacom , Christopher M. Hirata , Annika H. G. Peter

For the statistics of global observables in disordered systems, we discuss the matching between typical fluctuations and large deviations. We focus on the statistics of the ground state energy $E_0$ in two types of disordered models : (i)…

Disordered Systems and Neural Networks · Physics 2010-02-25 Cecile Monthus , Thomas Garel