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The lattice regularization of the Higgs sector of the standard model is summarized. The triviality bound and vacuum instability bound are described. The question of chiral gauge theories is discussed. Some aspects of the numerical…

High Energy Physics - Lattice · Physics 2007-05-23 I. Montvay

We investigate the relationship between the high temperature deconfined phase of the SU(2) gauge theory to the phases of the corresponding three dimensional adjoint Higgs model. For various temperatures we simulate the effective theory in a…

High Energy Physics - Lattice · Physics 2009-09-25 L. Karkkainen , P. Lacock , D. E. Miller , B. Petersson , T. Reisz

We study a quantum phase transition of electrons on a two-dimensional square lattice. Our lattice model preserves the full $\mathrm{O}(4)$ symmetry of free spin-$\frac{1}{2}$ Dirac fermions on a bipartite lattice. In particular, it not only…

High Energy Physics - Lattice · Physics 2021-11-04 Hanqing Liu

The lattice SU(2) gauge-scalar model with the scalar field in the adjoint representation of the gauge group has two completely separated confinement and Higgs phases according to the preceding studies based on numerical simulations which…

High Energy Physics - Lattice · Physics 2024-08-06 Akihiro Shibata , Kei-Ichi Kondo

We use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

General SU(2)xSU(2)xU(1) models represent a well-motivated intermediate step towards the unification of the Standard Model gauge groups. Based on a recent global analysis of low-energy and LEP constraints of these models, we perform…

High Energy Physics - Phenomenology · Physics 2012-11-29 Tomáš Ježo , Michael Klasen , Ingo Schienbein

In this paper we shall introduce a lattice model of unconventional superconductors (SC) like d-wave SC in order to study quantum phase transition at vanishing temperature ($T$). Finite-$T$ counterpart of the present model was proposed…

Strongly Correlated Electrons · Physics 2009-11-13 Kenji Sawamura , Yuki Moribe , Ikuo Ichinose

We discuss the critical behaviour of strongly interacting matter close to the QCD phase transition. Emphasis is put on a presentation of results from lattice calculations that illustrate deconfining as well as chiral symmetry restoring…

High Energy Physics - Lattice · Physics 2009-09-25 Frithjof Karsch

We investigate the effect of $Z_2$ magnetic monopoles and vortices on the finite temperature deconfinement phase transition in the fundamental - adjoint SU(2) lattice gauge theory. In the limit of complete suppression of the $Z_2$…

High Energy Physics - Lattice · Physics 2009-10-31 Rajiv V. Gavai , Manu Mathur

We investigate the SU($N$) Hubbard model for the multi-component fermionic optical lattice system, combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method. We obtain the finite temperature phase diagrams…

Quantum Gases · Physics 2016-07-20 Hiromasa Yanatori , Akihisa Koga

We study the first-order finite-temperature electroweak phase transition of the SU(2) gauge-Higgs model defined on a 4-dimensional isotropic lattice with temporal extension N_t=2. Finite-size scaling study of Lee-Yang zeros yields the value…

High Energy Physics - Lattice · Physics 2009-12-30 Y. Aoki , F. Csikor , Z. Fodor , A. Ukawa

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas

We study on the lattice the 3d SU(2)+Higgs model, which is an effective theory of a large class of 4d high temperature gauge theories. Using the exact constant physics curve, continuum ($V\to\infty, a\to 0$) results for the properties of…

High Energy Physics - Lattice · Physics 2009-10-28 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

Analytic estimates of screening masses in the symmetric, high-temperature phase of the SU(2)-Higgs model are reviewed. The size of the mass gap in the symmetric phase is closely related to the critical Higgs mass where the first-order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wilfried Buchmuller

We evaluate the gauge invariant effective potential for the composite field $\sigma=2\Phi^{\dagger}\Phi$ in the SU(2)-Higgs model at finite temperature. Symmetric and broken phases correspond to the domains $\sigma\leq T^2/3$ and $\sigma >…

High Energy Physics - Phenomenology · Physics 2009-09-25 W. Buchmuller , Z. Fodor , A. Hebecker

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

High Energy Physics - Lattice · Physics 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

We compare 4d lattice results for the finite temperature phase transition in the SU(2)+Higgs model with 3d lattice results for the phase transition in the corresponding dimensionally reduced effective theory. While the large errorbars and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Laine

Using improved mean field and strong coupling expansions we re-analyse the bulk phase diagram of the fundamental-adjoint action of the SU(2) Lattice Gauge Theory. We find that the qualitative features of the bulk phase diagram are robust…

High Energy Physics - Lattice · Physics 2009-10-28 Saumen Datta , Rajiv V. Gavai

Deconfined quantum critical point (DQCP) describes direct, non-fine-tuned quantum phase transition between two ordered phases that break distinct and seemingly unrelated symmetries, providing a route to continuous phase transition beyond…

Strongly Correlated Electrons · Physics 2026-05-18 Zhi-Qiang Gao , Hui Yang , Yan-Qi Wang

We continue recent efforts to discover examples of deconfined quantum criticality in one-dimensional models. In this work we investigate the transition between a $\mathbb{Z}_3$ ferromagnet and a phase with valence bond solid (VBS) order in…

Strongly Correlated Electrons · Physics 2021-04-28 Brenden Roberts , Shenghan Jiang , Olexei I. Motrunich