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We study the Debye mass, $m_D$, and the topological susceptibility, $\chi$, at high temperatures in non-abelian gauge theory. Both exhibit, at some order in the perturbation expansion, infrared sensitivity. As a result, a perturbative…

High Energy Physics - Phenomenology · Physics 2018-07-02 Michael Dine , Di Xu

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 study the finite-temperature phase structure of the four-dimensional ${\rm SU(2)}$ adjoint Higgs model, focusing on a possible deconfinement-Higgs continuity: the conjecture that the high-temperature deconfined phase of Yang-Mills theory…

High Energy Physics - Theory · Physics 2025-10-20 Yui Hayashi , Masashi Kawahira , Hiromasa Watanabe

We propose the $(3+1)$-dimensional $\mathbb{Z}_3$ lattice gauge theory coupled with the 2-flavor Wilson-Dirac fermion as a toy model for studying quantum chromodynamics (QCD) at nonzero density. We study its phase diagram in the space of…

High Energy Physics - Lattice · Physics 2024-06-10 Yoshimasa Hidaka , Yuya Tanizaki , Arata Yamamoto

We study the electroweak phase transition by lattice simulations of an effective 3--dimensional theory, for a Higgs mass of about 70 GeV. Exploiting, among others, a variant of the equal weight criterion of phase equilibrium, we obtain…

High Energy Physics - Lattice · Physics 2009-10-28 M. Guertler , E. -M. Ilgenfritz , J. Kripfganz , H. Perlt , A. Schiller

Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Lütgemeier , B. Petersson

Due to the infrared problem of high-temperature field theory, a robust study of the electroweak phase transition (EWPT) requires use of non-perturbative methods. We apply the method of high-temperature dimensional reduction to the two Higgs…

High Energy Physics - Phenomenology · Physics 2019-02-19 Tyler Gorda , Andreas Helset , Lauri Niemi , Tuomas V. I. Tenkanen , David J. Weir

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

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can…

High Energy Physics - Lattice · Physics 2009-05-29 F. Di Renzo , M. Laine , Y. Schroder , C. Torrero

Double beta decays are rare nuclear processes that can occur in two modes: two-neutrino double beta decay, observed in the Standard Model, and neutrinoless double beta decay, a hypothetical process with profound implications for Particle…

High Energy Physics - Lattice · Physics 2023-12-04 Saurabh V. Kadam

To construct the high-temperature effective field theory of gauge-Higgs models up to $\mathcal{O}(g^6)$ in the gauge coupling, we integrate out hard modes to three-loop level and use the next-to-next-to-leading order effective potential.…

High Energy Physics - Phenomenology · Physics 2026-02-09 Fabio Bernardo , Mikael Chala , Luis Gil , Philipp Schicho

We study the SU(2) gauge theory with scalar matter in the adjoint representation in 3D at finite temperature. We find evidence for a finite temperature phase transition both in the symmetric and in the broken phase; such transitions are…

High Energy Physics - Lattice · Physics 2009-11-10 A. Barresi , L. Del Debbio , B. Lucini

We analyse the QCD chiral phase transition in the nonlinear and linear $\sigma$-model. The strategy is the same in both cases. We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to…

High Energy Physics - Phenomenology · Physics 2009-09-25 H. J. Pirner , B. -J. Schaefer

A series of sigma-phase Fe_{100-x}V_x samples with 34.4 < x < 59.0 were investigated by neutron and X-ray diffraction and Mossbauer spectroscopy (MS) techniques. The first two methods were used for verification of the transformation from…

Materials Science · Physics 2010-10-12 Jakub Cieslak , Michael Reissner , Stanislaw M. Dubiel , Benilde F. O. Costa , Walter Steiner

We study the phase diagram of quark matter at finite temperature (T) and chemical potential (mu) in the strong coupling region of lattice QCD for color SU(3). Baryon has effects to extend the hadron phase to a larger mu direction relative…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ohnishi , N. Kawamoto , K. Miura

The 3-dimensional gauge-Higgs system describes the non-perturbative infrared effects of the high-temperature phase of the Standard Model. We calculate the two-loop self-energies in the 3-dimensional SU(2) Higgs model and in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Frank Eberlein

Motivated by questions about the QCD deconfining phase transition, we studied in two previous papers Model A (Glauber) dynamics of 2D and 3D Potts models, focusing on structure factor evolution under heating (heating in the gauge theory…

High Energy Physics - Lattice · Physics 2009-11-11 Alexei Bazavov , Bernd A. Berg , Alexander Velytsky

With the physical Higgs mass the Standard Model symmetry restoration phase transition is a smooth cross-over. We study the thermodynamics of the cross-over using numerical lattice Monte Carlo simulations of an effective SU(2) X U(1) gauge +…

High Energy Physics - Phenomenology · Physics 2016-01-13 Michela D'Onofrio , Kari Rummukainen

In this work we show the step by step calculations needed to quantify the contribution of a three-loop order diagram with dihedral symmetry to the radiative corrections of the pressure in SU(2) thermal Yang-Mills theory in deconfining…

High Energy Physics - Theory · Physics 2020-05-15 Luca Campobasso

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

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