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The global structure of the renormalization-group flows of a model with isotropic and cubic interactions is studied using the massive field theory directly in three dimensions. The four-loop expansions of the $\bt$-functions are calculated…

Statistical Mechanics · Physics 2009-10-31 Konstantin Varnashev

We discuss renormalization group equations for gauge coupling constants in gauge-Higgs grand unification on five-dimensional Randall-Sundrum warped space. We show that all the four-dimensional Standard Model gauge coupling constants are…

High Energy Physics - Phenomenology · Physics 2016-04-06 Naoki Yamatsu

By using the coupled cluster method, the numerical exact diagonalization method, and the numerical density matrix renormalization group method, we investigated the properties of the one-dimensional Heisenberg chain with alternating…

Strongly Correlated Electrons · Physics 2015-12-09 Jian-Jun Jiang , Fei Tang , Cui-Hong Yang

Detecting dependence between two random variables is a fundamental problem. Although the Pearson correlation is effective for capturing linear dependency, it can be entirely powerless for detecting nonlinear and/or heteroscedastic patterns.…

Methodology · Statistics 2016-11-21 Xufei Wang , Bo Jiang , Jun S. Liu

We compute the renormalized four-point coupling in the 2d Ising model using transfer-matrix techniques. We greatly reduce the systematic uncertainties which usually affect this type of calculations by using the exact knowledge of several…

High Energy Physics - Theory · Physics 2008-11-26 Michele Caselle , Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

Exact relations are derived for the Fermi Hubbard spectral weight function for infinite U at zero temperature in the thermodynamic limit for any dimension,any lattice structure and general hopping matrix. These relations involve moments of…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling

The purpose of this paper is threefold: a) Check if the rather poor Standard Model (SM) fit to all electroweak data can be improved in its minimal supersymmetric extension (MSSM); b) Check what constraints present electroweak data has on…

High Energy Physics - Phenomenology · Physics 2009-11-10 Wim de Boer , Christian Sander

We calculate a full set of one-loop corrections to the Higgs boson coupling constants as well as the electroweak parameters. We compute the decay rate of the standard model (SM)-like Higgs boson ($h$) into diphoton. Renormalized Higgs…

High Energy Physics - Phenomenology · Physics 2015-06-12 Mayumi Aoki , Shinya Kanemura , Mariko Kikuchi , Kei Yagyu

We consider the noncommutative hypermultiplet model within harmonic superspace approach. The 1-loop four-point contributions to the effective action of selfinteracting q-hypermultiplet are computed. This model has two coupling constants…

High Energy Physics - Theory · Physics 2014-11-18 I. B. Samsonov

We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa $ \beta $-functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the $ \beta…

High Energy Physics - Phenomenology · Physics 2022-01-26 Joshua Davies , Florian Herren , Anders Eller Thomsen

The theoretical evaluation of the coupling constants gpiNN , gKNLambda and gKNSigma is undertaken using QCD sum rules. These quantities were previously calculated with exponential (Borel) kernels used to suppress the unknown contributions…

High Energy Physics - Phenomenology · Physics 2022-02-17 N. F. Nasrallah

The asymptotic strong-coupling behavior as well as the exact critical exponents from scalar field theory even in the simplest case of $1+1$ dimensions have not been obtained yet. Hagen Kleinert has linked both critical exponents and strong…

High Energy Physics - Theory · Physics 2024-02-01 Abouzeid M. Shalaby

The spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions is exactly solved by establishing a precise mapping relationship with the corresponding zero-field (symmetric) eight-vertex model.…

Statistical Mechanics · Physics 2015-05-13 Jozef Strecka , Lucia Canova , Kazuhiko Minami

Based on the strong coupling expansion, we reinvestigate the scaling behavior of the susceptibility chi of two-dimensional O(N) sigma model on the square lattice by the use of Pade-Borel approximants. To exploit the Borel transform, we…

High Energy Physics - Lattice · Physics 2012-09-18 Hirofumi Yamada

We study nonlocal reductions of coupled equations in $1+1$ dimensions of the Heisenberg ferromagnet type. The equations under consideration are completely integrable and have a Lax pair related to a linear bundle in pole gauge. We describe…

Exactly Solvable and Integrable Systems · Physics 2023-03-15 R. Myrzakulov , G. Nugmanova , T. Valchev , K. Yesmakhanova

We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic…

Strongly Correlated Electrons · Physics 2012-09-10 Fawaz Hrahsheh , Hatem Barghathi , Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

We use a symmetry approach to construct a systematic derivative expansion of the low energy effective Hamiltonian modifying the continuum Dirac description of graphene in the presence of non-uniform elastic deformations. We extract all…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Juan L. Mañes , Fernando de Juan , Mauricio Sturla , María A. H. Vozmediano

Random spin chains at quantum critical points exhibit an entanglement entropy between a segment of length L and the rest of the chain that scales as log_2 L with a universal coefficient. Since for pure quantum critical spin chains this…

Disordered Systems and Neural Networks · Physics 2009-11-13 Gil Refael , Joel E. Moore

We renormalize the six dimensional cubic theory with an $O(N)$ $\times$ $O(m)$ symmetry at three loops in the modified minimal subtraction (MSbar) scheme. The theory lies in the same universality class as the four dimensional…

High Energy Physics - Theory · Physics 2017-03-08 J. A. Gracey , R. M. Simms

Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous transition from the semimetallic into the antiferromagnetic insulating phase with increase of on-site Hubbard repulsion. We attempt to further…

Strongly Correlated Electrons · Physics 2020-12-01 Lukas Janssen , Igor F. Herbut
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