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Related papers: 3d SU(N) + adjoint Higgs theory and finite tempera…

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We compute the mass spectrum of the SU(2) adjoint Higgs model in 2+1 dimensions at several points located in the (metastable) confinement region of its phase diagram. We find a dense spectrum consisting of an almost unaltered repetition of…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , O. Philipsen

We study the three-dimensional U(1)+Higgs theory (Ginzburg-Landau model) as an effective theory for finite temperature phase transitions from the 1 K scale of superconductivity to the relativistic scales of scalar electrodynamics. The…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

The physics of electric and magnetic screening in non-Abelian finite temperature field theory is closely related to the non-perturbative properties of the corresponding three-dimensional effective theories which are confining. I discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 Owe Philipsen

A three-dimensional effective theory of the finite-temperature SU(5)+adjoint Higgs model is constructed using the method of dimensional reduction. The resulting theory can be used for computer simulations of the GUT phase transition of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arttu Rajantie

We investigate the three-dimensional SU(3) gauge theory at finite temperature in the framework of dimensional reduction. The large scale properties of this theory are expected to be conceptually more complicated than in four dimensions. The…

High Energy Physics - Lattice · Physics 2009-10-31 P. Bialas , A. Morel , B. Petersson , K. Petrov , T. Reisz

I present a three-dimensional effective theory that describes the high-temperature equilibrium behavior of the SU(5) theory accurately, but is much easier to study using non-perturbative methods than the original four-dimensional one. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arttu Rajantie

The screening masses of hot SU(N) gauge theory, defined as poles of the corresponding propagators are studied in 3d adjoint Higgs model, considered as an effective theory of QCD, using coupled gap equations and lattice Monte-Carlo…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Karsch , M. Oevers , A. Patkos , P. Petreczky , Zs. Szep

We study the phase diagram of the 3-dimensional SU(2) + adjoint Higgs theory, and investigate to what extent it can be used as an effective theory of the 4-dimensional high-T SU(2) QCD. The relation between the parameters in 4 and 3…

High Energy Physics - Lattice · Physics 2007-05-23 K. Rummukainen

We study the high-temperature phase of SU(2) and SU(3) QCD using lattice simulations of an effective 3-dimensional SU(N) + adjoint Higgs -theory, obtained through dimensional reduction. We investigate the phase diagram of the 3D theory, and…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Laine , J. Peisa , A. Rajantie , K. Rummukainen , M. Shaposhnikov

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , A. Rajantie

We discuss the logarithmic contributions to the vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory in its symmetric phase, and relate them to numerical Monte Carlo simulations. We also comment on the implications of…

High Energy Physics - Lattice · Physics 2009-11-07 K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master integrals of the type appearing in…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

Dimensional reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3)…

High Energy Physics - Lattice · Physics 2016-09-01 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder

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

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial…

High Energy Physics - Theory · Physics 2024-05-01 Hiromasa Watanabe

We establish a close relation between the spatial string tension of the (3+1)-dimensional $SU(3)$ gauge theory at finite temperature ($\sigma_s$) and the string tension of the 3-dimensional $SU(3)$ gauge theory ($\sigma_3$) which is similar…

High Energy Physics - Lattice · Physics 2009-10-22 F. ~Karsch , E. Laermann , M. Lütgemeier

In this article we will discuss numerical results on screening masses and thermodynamic quantities in 2 + 1 dimensional SU(3) gauge theory. We will also compare them to perturbation theory and the dimensionally reduced model.

High Energy Physics - Lattice · Physics 2008-11-26 P. Bialas , L. Daniel , A. Morel , B. Petersson

We study the phase diagram of the three-dimensional SU(3)+adjoint Higgs theory with lattice Monte Carlo simulations. A critical line consisting of a first order line, a tricritical point and a second order line, divides the phase diagram…

High Energy Physics - Lattice · Physics 2010-02-03 K. Kajantie , M. Laine , A. Rajantie , K. Rummukainen , M. Tsypin

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

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the physics of cuprate superconductors near…

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