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We enumerate and classify all stationary logarithmic configurations of d+2 points on the unit (d-1)-sphere in d-dimensions. In particular, we show that the logarithmic energy attains its relative minima at configurations that consist of two…

Metric Geometry · Mathematics 2022-03-15 Peter D. Dragnev , Oleg R. Musin

We consider the Minimal Supersymmetric Standard Model (MSSM) without imposing relations on the superpartner masses that arise in grand unified theories. Given an arbitrary pattern of superpartner masses (consistent with experimental…

High Energy Physics - Phenomenology · Physics 2009-09-15 Toby Falk , Keith A. Olive , Leszek Roszkowski , Mark Srednicki

Based on the QCD string picture at confining phase, we conjecture that the deconfinement transition always accompanies a condensation of higher meson resonances with a power-law behavior, "meson turbulence". We employ the AdS/CFT…

High Energy Physics - Theory · Physics 2015-12-09 Koji Hashimoto , Shunichiro Kinoshita , Keiju Murata , Takashi Oka

The convergence of the Q expansion in the ^3S_1-^3D_1 mixing angle is investigated through the renormalization condition used to fit the free paramteter encountered at NNLO. Although the NNLO calculation describes the data well at momenta…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen , James M. Hansen

We present a simple argument determining the shape of the curves of marginal stability in the N=2 supersymmetric SU(2) QCD with less than 4 massless flavors. The argument relies only on the modular properties of $a_D/a$ and its…

High Energy Physics - Theory · Physics 2007-05-23 Philip C. Argyres , Alon E. Faraggi , Alfred D. Shapere

The ratio between the anomalous magnetic moments of proton and neutron has been recently parametrized by the ratio of proton momentum fractions $M_{2}^{q_{val}}$. This ratio is evaluated using different constituent quark models, starting…

Nuclear Theory · Physics 2014-11-18 M. M. Giannini , E. Santopinto , A. Vassallo , M. Vanderhaeghen

We present a fully non-perturbative computation of the mass of the b-quark in the quenched approximation. Our strategy starts from the matching of HQET to QCD in a finite volume and finally relates the quark mass to the spin averaged mass…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michele Della Morte , Nicolas Garron , Mauro Papinutto , Rainer Sommer

Pseudo-SU(3) shell-model results are reported for M1 excitation strengths in 157-Gd, 163-Dy and 169-Tm in the energy range between 2 and 4 MeV. Non-zero pseudo-spin couplings between the configurations play a very important role in…

Nuclear Theory · Physics 2009-11-07 Carlos E. Vargas , Jorge G. Hirsch , Jerry P. Draayer

In a fully 3-D system such as a stellarator, the toroidal mode number $n$ ceases to be a good quantum number--all $n$s within a given mode family being coupled. It is found that the discrete spectrum of unstable ideal MHD…

Plasma Physics · Physics 2007-05-23 R. L. Dewar , C. Nuehrenberg , T. Tatsuno

The monopole order parameter of QCD is computed in terms of gauge invariant field strength correlators. Both quantities are partially known from numerical simulations on the lattice. A new insight results on the structure of the confining…

High Energy Physics - Lattice · Physics 2008-11-26 Adriano Di Giacomo

We investigate N=2 super-Yang-Mills theory on a three sphere in the presence of an isospin chemical potential at strong coupling using the AdS/CFT correspondence. This system exhibits an instability for sufficiently large values of the…

High Energy Physics - Theory · Physics 2015-06-11 Suphakorn Chunlen , Kasper Peeters , Pichet Vanichchapongjaroen , Marija Zamaklar

We show that for all $n \geq 2$, there exists a doubling linearly locally contractible metric space $X$ that is topologically a $n$-sphere such that every weak tangent is isometric to $\R^n$ but $X$ is not quasisymmetrically equivalent to…

Metric Geometry · Mathematics 2018-06-11 Angela Wu

The article considers the multivariate stochastic orders of upper orthants, lower orthants and positive quadrant dependence (PQD) among simple max-stable distributions and their exponent measures. It is shown for each order that it holds…

Probability · Mathematics 2024-03-08 Michela Corradini , Kirstin Strokorb

Due to the chaotic nature of planetary dynamics, there is a non-zero probability that Mercury's orbit will become unstable in the future. Previous efforts have estimated the probability of this happening between 3 and 5 billion years in the…

Earth and Planetary Astrophysics · Physics 2022-01-05 Dorian S. Abbot , Robert J. Webber , Sam Hadden , Darryl Seligman , Jonathan Weare

We study the corrections to $\epsilon^\prime /\epsilon$ in the minimal supersymmetric model at the leading order in QCD and QED. Supersymmetry can increase the standard model prediction for $\epsilon^\prime /\epsilon$ by at most 40\% for…

High Energy Physics - Lattice · Physics 2010-11-01 E. Gabrielli , G. F. Giudice

We present results on the stability of quantum systems consisting of a negative charge $-q_1$ with mass $m_{1}$ and two positive charges $q_2$ and $q_3$, with masses $m_{2}$ and $m_{3}$, respectively. We show that, for given masses $m_{i}$,…

Atomic Physics · Physics 2009-09-25 Ali Krikeb , Andre Martin , Jean-Marc Richard , Tai T. Wu

We follow our previous paper on possible cosmological variation of weak scale (quark masses) and strong scale, inspired by data on cosmological variation of the electromagnetic fine structure constant from distant quasar (QSO) absorption…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. V. Flambaum , E. V. Shuryak

We analyze the classical stability of Q-tubes --- charged extended objects in $(3+1)$-dimensional complex scalar field theory. Explicit solutions were found analytically in the piecewise parabolic potential. Our choice of potential allows…

High Energy Physics - Theory · Physics 2014-07-29 E. Nugaev , A. Shkerin

We prove that if a subset of $(\mathbb{F}_q^n)^k$ (with $q$ an odd prime power) avoids a full-rank three-point pattern $\vec{x},\vec{x}+M_1\vec{d},\vec{x}+M_2\vec{d}$ then it is exponentially small, having size at most $3 \cdot c_q^{nk}$…

Combinatorics · Mathematics 2022-08-31 Mohamed Omar

The low energy mass spectrum of QCD in the large $N_C$ limit is computed. The low-lying states in the meson spectrum are explicitly evaluated up to the fourth order in the strong coupling perturbative expansion. The 't Hooft limit is smooth…

High Energy Physics - Lattice · Physics 2009-11-10 G. Grignani , D. Marmottini , P. Sodano