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We study the phase diagram and critical behaviors of three-dimensional lattice ${\mathbb Z}_2$-gauge $N$-vector models, in which an $N$-component real field is minimally coupled with a ${\mathbb Z}_2$-gauge link variables. These models are…

统计力学 · 物理学 2024-06-11 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Further evidence is presented for the existence of a non-confining phase at weak coupling in SU(2) lattice gauge theory. Using Monte Carlo simulations with the standard Wilson action, gauge-invariant SO(3)-Z2 monopoles, which are…

高能物理 - 格点 · 物理学 2015-06-16 Michael Grady

We report a new type of multicritical point that arises from competition between the Higgs and confinement transitions in a Z_2 gauge system. The phase diagram of the 3d gauge Higgs model has been obtained by Monte-Carlo simulation on large…

统计力学 · 物理学 2014-11-18 I. S. Tupitsyn , A. Kitaev , N. V. Prokof'ev , P. C. E. Stamp

The present theory is based on the assumption that at the very small (Planck scale) distances our space-time is discrete, and this discreteness influences on the Planck scale physics. Considering our (3+1)-dimensional space-time as a…

高能物理 - 理论 · 物理学 2014-11-18 L. V. Laperashvili , H. B. Nielsen , D. A. Ryzhikh

We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_N subgroup of the global Z_q invariance group of the Z_q clock model (N is a submultiple of…

统计力学 · 物理学 2022-06-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We report lattice computations in SU(N_c) pure gauge theory, where N_c is increased beyond the physical value of 3. We demonstrate two-loop scaling of T_c, thus obtaining the variation of T_c/Lambda_MSbar with N_c, and fixing the…

高能物理 - 格点 · 物理学 2009-11-18 Saumen Datta , Sourendu Gupta

Recently we proposed a natural scenario of grand unified theories with anomalous U(1)_A gauge symmetry, in which doublet-triplet splitting is realized in SO(10) unification using Dimopoulos-Wilczek mechanism and realistic quark and lepton…

高能物理 - 唯象学 · 物理学 2009-11-07 Nobuhiro Maekawa

The renormalization group flows of the coupling constants for the gauged U(N) vector model, with N_f massless fermions in the defining representation, are studied in the large N limit, to all orders in the scalar coupling lambda, leading…

高能物理 - 理论 · 物理学 2009-10-31 Henric Rhedin , Howard J. Schnitzer

We present some generalizations of a recently proposed alternative approach to nonabelian gauge theories based on the causal Epstein-Glaser method in perturbative quantum field theory. Nonabelian gauge invariance is defined by a simple…

高能物理 - 理论 · 物理学 2009-10-28 Tobias Hurth

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and…

高能物理 - 唯象学 · 物理学 2021-07-07 Anish Ghoshal , Anupam Mazumdar , Nobuchika Okada , Desmond Villalba

Multiple inflation is a model based on N=1 supergravity wherein there are sudden changes in the mass of the inflaton because it couples to 'flat direction' scalar fields which undergo symmetry breaking phase transitions as the universe…

宇宙学与河外天体物理 · 物理学 2014-11-20 Shaun Hotchkiss , Subir Sarkar

We study the nature of the finite-temperature transition of the three-dimensional scalar chromodynamics with N_f flavors. These models are constructed by considering maximally O(M)-symmetric multicomponent scalar models, whose symmetry is…

统计力学 · 物理学 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

The multicritical behavior of the Blume-Capel model with infinite-range interactions is investigated by introducing quenched disorder in the crystal field $\Delta_{i}$, which is represented by a superposition of two Gaussian distributions…

统计力学 · 物理学 2010-03-09 Octavio D. Rodriguez Salmon , Justo Rojas Tapia

Analytical and numerical methods are applied to principal chiral models on a two-dimensional lattice and their predictions are tested and compared. New techniques for the strong coupling expansion of SU(N) models are developed and applied…

高能物理 - 格点 · 物理学 2010-12-21 Paolo Rossi , Ettore Vicari

We calculate the low-lying glueball spectrum, some string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3+1 dimensions. We do so for N = 2,3,...12, using lattice simulations with the…

高能物理 - 格点 · 物理学 2022-01-05 Andreas Athenodorou , Michael Teper

Five-dimensional $\mathcal{N}=1$ theories with gauge group $U(N)$, $SU(N)$, $USp(2N)$ and $SO(N)$ are studied at large rank through localization on a large sphere. The phase diagram of theories with fundamental hypermultiplets is universal…

高能物理 - 理论 · 物理学 2021-07-19 Leonardo Santilli

We consider a multiscale Boolean percolation on $\mathbb R^d$ with radius distribution $\mu$ on $[1,+\infty)$, $d\ge 2$. The model is defined by superposing the original Boolean percolation model with radius distribution $\mu$ with a…

概率论 · 数学 2023-01-05 Barbara Dembin

Certain models with purely repulsive pair interactions can form cluster crystals with multiply-occupied lattice sites. Simulating these models' equilibrium properties is, however, quite challenging. Here, we develop an expanded…

软凝聚态物质 · 物理学 2015-03-20 Kai Zhang , Patrick Charbonneau

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

统计方法学 · 统计学 2013-10-16 David S. Matteson , Nicholas A. James

The behavior of two-dimensional Ising spin glasses at the multicritical point on triangular and honeycomb lattices is investigated, with the help of finite-size scaling and conformal-invariance concepts. We use transfer-matrix methods on…

统计力学 · 物理学 2009-11-11 S. L. A. de Queiroz