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This pedagogically intended lecture, one of four under the header "Basics of thermal QCD", reviews an interesting relationship, originally pointed out by Bodeker, that exists between the bulk viscosity of Yang-Mills theory (of possible…

High Energy Physics - Phenomenology · Physics 2011-03-10 M. Laine

We study large $N$ phase transitions in $\mathcal{N}=2$ theories with gauge group $SU(N)$ and massive hypermultiplets in diverse representations. Using supersymmetric localization we identify cases where phase transitions occur. In…

High Energy Physics - Theory · Physics 2025-09-09 Jeremias Aguilera Damia , Jorge G. Russo

In this paper we study the critical behavior of an $N$-component ${\phi}^{4}$-model in hyperbolic space, which serves as a model of uniform frustration. We find that this model exhibits a second-order phase transition with an unusual…

Statistical Mechanics · Physics 2015-11-04 Karim Mnasri , Bhilahari Jeevanesan , Jörg Schmalian

We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature we obtain an effective theory for the critical fluctuations. This analysis leads…

Disordered Systems and Neural Networks · Physics 2013-05-24 Silvio Franz , Hugo Jacquin , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

A full mean field solution of a quantum Heisenberg spin glass model is presented in a large-N limit. A spin glass transition is found for all values of the spin S. The quantum critical regime associated with the quantum transition at S=0,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Antoine Georges , Olivier Parcollet , Subir Sachdev

In this work we deal with the critical behavior of the bulk viscosity in the linear sigma model (LSM) as an example of a system which can be treated by using different techniques. Starting from the Boltzmann-Uehling-Uhlenbeck equation we…

High Energy Physics - Phenomenology · Physics 2013-05-30 Antonio Dobado , Juan M. Torres-Rincon

We study the partition function of a $T \overline{T}$-deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range of values of the deformation parameter, and that the…

High Energy Physics - Theory · Physics 2019-01-16 Leonardo Santilli , Miguel Tierz

The large-N behavior of Yang-Mills and generalized Yang-Mills theories in the double-scaling limit is investigated. By the double-scaling limit, it is meant that the area of the manifold on which the theory is defined, is itself a function…

High Energy Physics - Theory · Physics 2009-01-07 M. Alimohammadi , M. Khorrami

Using matrix model techniques we investigate the large N limit of generalized 2D Yang-Mills theory. The model has a very rich phase structure. It exhibits multi-critical behavior and reveals a third order phase transitions at all genera…

High Energy Physics - Theory · Physics 2009-10-28 B. Rusakov , S. Yankielowicz

The supercritical region is often described as uniform with no definite transitions. The distinct behaviors of the matter therein (as liquid-like and gas-like), however, suggest ``supercritical boundaries". Here, we provide a mathematical…

Statistical Mechanics · Physics 2023-11-21 Xiao-Yu Ouyang , Qi-Jun Ye , Xin-Zheng Li

We study thermal corrections to the dispersion relations of massive fundamental particles immersed in weakly coupled non-Abelian plasmas. The cases covered include quarks in the QCD (quark-gluon) plasma, as well as N=2 quarks and scalars in…

High Energy Physics - Phenomenology · Physics 2009-09-28 P. M. Chesler , A. Gynther , A. Vuorinen

We study $\mathcal{N} = 4$ super Yang-Mills theory on the Coulomb branch (cSYM) by using its Type IIB supergravity dual. We compute the transport coefficients, and hard probe parameters of $\mathcal{N} = 4$ cSYM at finite temperature $T$.…

High Energy Physics - Theory · Physics 2019-09-18 Kiminad A. Mamo

We study finite-temperature N=1 SU(2) super Yang-Mills theory, compactified on a spatial circle of size L with supersymmetric boundary conditions. In the semiclassical small-L regime, a deconfinement transition occurs at T_c <<1/L. The…

High Energy Physics - Theory · Physics 2015-06-17 Mohamed M. Anber , Scott Collier , Erich Poppitz , Seth Strimas-Mackey , Brett Teeple

The equation of state of $SU(3)$ Yang-Mills theory is investigated in the framework of a moving reference frame. Results for the entropy density, the pressure, the energy density, and the trace anomaly are presented for temperatures ranging…

High Energy Physics - Lattice · Physics 2016-12-08 Leonardo Giusti , Michele Pepe

We determine the critical value of the coupling where the first order quantum phase transition takes place for lattice SU(2) Yang-Mills theories in dimensions higher than four. Within a Mean-Field approach we derive an approximate law valid…

High Energy Physics - Lattice · Physics 2015-11-11 Nikos Irges , George Koutsoumbas , Konstantinos Ntrekis

We study the phase structures of N=4 U(N) super Yang-Mills theories on R x S^3/Z_k with large N. The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S^3/Z_k, and for the fermions the periodic and the…

High Energy Physics - Theory · Physics 2009-11-11 Yasuaki Hikida

Pure Yang-Mills theory has a finite-temperature phase transition, separating the confined and deconfined bulk phases. Svetitsky and Yaffe conjectured that if this phase transition is of second order, it belongs to the universality class of…

High Energy Physics - Lattice · Physics 2017-08-23 K. Holland , M. Pepe , U. -J. Wiese

Using the Janik-Peschanski dual to a Bjorken flow, a Langevin equation is derived for a heavy quark in an expanding N = 4 supersymmetric Yang-Mills plasma. Such a plasma is characterized by a proper-time dependence of the temperature and…

High Energy Physics - Theory · Physics 2009-06-19 G. C. Giecold

We study the N=4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U(4) R-symmetry group of the N=4 superalgebra down to USp(4), we consider the superparticle dynamics in…

High Energy Physics - Theory · Physics 2010-05-28 I. L. Buchbinder , O. Lechtenfeld , I. B. Samsonov

The finite temperature phase transition in the SU(2) Higgs model at a Higgs boson mass $M_H \simeq 34$ GeV is studied in numerical simulations on four-dimensional lattices with time-like extensions up to $L_t=5$. The effects of the finite…

High Energy Physics - Lattice · Physics 2009-10-28 F. Csikor , Z. Fodor , J. Hein , A. Jaster , I. Montvay
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