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We study the domain walls in hot $4$-D $SU(N)$ super Yang-Mills theory and QCD(adj), with $n_f$ Weyl flavors. We find that the $k$-wall worldvolume theory is $2$-D QCD with gauge group $SU(N-k)\times SU(k) \times U(1)$ and Dirac fermions…

高能物理 - 理论 · 物理学 2019-06-26 Mohamed M. Anber , Erich Poppitz

For a discrete symmetry that is anomalous under QCD, the domain walls produced in the early universe from its spontaneous breaking can naturally annihilate due to QCD instanton effects. The gravitational waves generated from wall…

高能物理 - 唯象学 · 物理学 2025-05-30 Yang Bai , Ting-Kuo Chen , Mrunal Korwar

We present a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

In order to understand the role of QCD in the early universe, we perform hybrid Monte-Carlo simulation of lattice QCD with $N_f=2+1+1$ optimal domain-wall quarks at the physical point, on the $64^3 \times (6,8,10,12,16,20,64)$ lattices,…

高能物理 - 格点 · 物理学 2022-09-21 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

In ordinary QCD with light, degenerate, fundamental flavors, $CP$ symmetry is spontaneously broken at $\theta=\pi$, and domain wall solutions connecting the vacua can be constructed in chiral perturbation theory. In some cases the breaking…

高能物理 - 理论 · 物理学 2018-04-11 Patrick Draper

We present our recent studies of the pseudo-critical temperature, $T_c$, of QCD using domain wall fermions. Domain wall fermions have the advantage that they preserve exact SU(2) chiral symmetry at finite lattice spacing in the limit that…

高能物理 - 格点 · 物理学 2010-01-21 Michael Cheng

Results from the Columbia lattice group study of the QCD finite temperature phase transition with dynamical domain wall fermions on $16^3 \times 4$ lattices are presented. These results include an investigation of the U(1) axial symmetry…

高能物理 - 格点 · 物理学 2015-06-25 Pavlos Vranas

We examine the role of the center Z(N) of the gauge group SU(N) in gauge theories. In this pedagogical article, we discuss, among other topics, the center symmetry and confinement and deconfinement in gauge theories and associated…

高能物理 - 唯象学 · 物理学 2016-11-23 K. Holland , U. -J. Wiese

We perform hybrid Monte-Carlo (HMC) simulation of lattice QCD with $N_f=2+1+1$ domain-wall quarks at the physical point, on the $64^3 \times (64,20,16,12,10,8,6)$ lattices, each with three lattice spacings. The lattice spacings and the bare…

高能物理 - 格点 · 物理学 2022-10-13 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

We study the discrete chiral- and center-symmetry 't Hooft anomaly matching in the charge-$q$ two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators involves a central extension, implying the existence…

高能物理 - 理论 · 物理学 2018-10-17 Mohamed M. Anber , Erich Poppitz

We study the interaction of particles with a domain wall at a symmetry-breaking phase transition by perturbing about the domain wall solution. We find the particulate excitations appropriate near the domain wall and relate them to the…

高能物理 - 唯象学 · 物理学 2012-08-27 Glennys R. Farrar , John W. McIntosh,

We consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity,…

高能物理 - 唯象学 · 物理学 2016-09-06 Joakim Hallin , David Persson

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…

高能物理 - 理论 · 物理学 2024-05-01 Hiromasa Watanabe

Results from numerical simulations of full, two flavor QCD thermodynamics at N_t=4 with domain wall fermions are presented. For the first time a numerical simulation of the full QCD phase transition displays a low temperature phase with…

高能物理 - 格点 · 物理学 2019-08-14 Pavlos Vranas

The symmetry can be broken at high temperature and then restored at low temperature, which is the so-called \emph{high temperature symmetry breaking}. It often appears in some theories such as the high scale electroweak baryogenesis…

高能物理 - 唯象学 · 物理学 2023-07-13 Xiu-Fei Li

In studying the dynamics of large N_c, SU(N_c) gauge theory at finite temperature with fundamental quark flavours in the quenched approximation, we observe a first order phase transition. A quark condensate forms at finite quark mass, and…

高能物理 - 理论 · 物理学 2008-11-26 Tameem Albash , Veselin Filev , Clifford V. Johnson , Arnab Kundu

The QCD phase transition at finite temperature is studied with the dual Ginzburg-Landau theory, which is the QCD effective theory based on the dual Higgs mechanism by QCD-monopole condensation. At high temperature, the confinement force is…

高能物理 - 唯象学 · 物理学 2007-05-23 Hideo Suganuma , Hiroko Ichie , Hiroshi Toki , Hideko Monden

We consider "Orientifold field theories", namely SU(N) gauge theories with Dirac fermions in the two-index representation at high temperature. When N is even these theories exhibit a spontaneously broken Z2 centre symmetry. We study aspects…

高能物理 - 理论 · 物理学 2010-12-09 Adi Armoni , Chris P. Korthals Altes , Agostino Patella

We study two-dimensional QED with unequal charges at finite temperature, and show that there is a phase with a spontaneously broken $Z_n$ symmetry. In spite of this, we were not able to establish the presence of domain walls. The relevance…

高能物理 - 唯象学 · 物理学 2009-10-28 T. H. Hansson , H. B. Nielsen , I. Zahed

The cosmological QCD phase transition is studied in terms of the color confinement at finite temperature using the dual Higgs theory of QCD. The confinement force is largely reduced at high temperature, which leads to the swelling of…

高能物理 - 唯象学 · 物理学 2007-05-23 Hideo Suganuma , Hiroko Ichie , Hideko Monden , Shoichi Sasaki , Manabu Orito , Tadahiro Yamamoto , Toshitaka Kajino
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