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The aim of this review is to summarize the contemporary understanding of the QCD phase diagram as a function of temperature and baryo-chemical potential. The focus is on recent theoretical developments due to lattice simulations of the…

高能物理 - 格点 · 物理学 2011-05-05 M. A. Stephanov

We investigate the topological properties of the QCD vacuum with 4 flavours of dynamical staggered fermions at finite temperature. To calculate the topological susceptibility we use the field-theoretical method. As in the quenched case, a…

高能物理 - 格点 · 物理学 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , P. W. Stephenson

We argue that QCD belongs to a topologically ordered phase similar to many well-known condensed matter systems with a gap such as topological insulators or superconductors. Our arguments are based on an analysis of the so-called "deformed…

高能物理 - 唯象学 · 物理学 2013-07-02 Ariel R. Zhitnitsky

Q-system completion can be thought of as a notion of higher idempotent completion of C*-2-categories. We introduce a notion of quantum bi-elements, and study Q-system completion in the context of compact quantum groups. We relate our notion…

量子代数 · 数学 2024-01-05 Mainak Ghosh

We present a solution to the strong CP problem based on the identification of the theta angle with twice the CP violating phase present in the CKM quark matrix. This solution washes out all the unwanted issues stemming form the strong CP…

高能物理 - 唯象学 · 物理学 2018-02-23 Renata Jora

As an important set of thermodynamic quantities, knowledge of the equation of state over a broad range of temperatures and chemical potentials in the QCD phase diagram is crucial for our understanding of strongly-interacting matter. There…

高能物理 - 唯象学 · 物理学 2024-03-01 Jamie M. Karthein

We propose a method to obtain physical quantities in the theta vacuum from those at fixed topology, which are different by finite size effects. Extending the work by Brower et al., we derive the formula to estimate these finite size…

高能物理 - 格点 · 物理学 2009-04-14 Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Tetsuya Onogi

We study the phase structure of QCD in the $T-\mu$ plane using a histogram method and the reweighting technique by performing phase quenched simulations of two-flavor QCD with RG-improved gauge action and O($a$) improved Wilson quark…

Investigations on the structure of QCD vacuum from first principles can be done on the lattice. The mechanism of confinement is an example: results from lattice on it are reviewed.

高能物理 - 格点 · 物理学 2008-11-26 A. Di Giacomo

We promote the usual QCD $\theta$-parameter to a field and interpret it as the phase of the quark condensate, which becomes nontrivial when topological defects, vortices in our formulation, are induced in the quark condensate by the QCD…

高能物理 - 唯象学 · 物理学 2019-05-22 Chi Xiong

We review issues involved in understanding the vacuum, long-distance and low-energy structure of non-Abelian gauge theories and QCD. The emphasis will be on the role played by instantons.

高能物理 - 格点 · 物理学 2009-10-30 Pierre van Baal

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD. This talk will focus on the developments in the last few years. Especially the addition of external influences and extended ranges…

高能物理 - 格点 · 物理学 2022-01-07 Jana N. Guenther

This Chapter introduces QCD at finite temperature and density. We first present the formulation of the thermal theory in the Euclidean path integral formalism. We then describe how the strong dynamics at high temperature can be inspected…

高能物理 - 唯象学 · 物理学 2026-02-24 Matteo Bresciani

We propose the use of coherent control of a multi-qubit--cavity QED system in order to explore novel phase transition phenomena in a general class of multi-qubit--cavity systems. In addition to atomic systems, the associated super-radiant…

量子物理 · 物理学 2007-05-23 Timothy C. Jarrett , Chiu Fan Lee , Neil F. Johnson

Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase…

高能物理 - 理论 · 物理学 2015-06-26 J. M. Isidro

We demonstrate that the QCD sum rule method can be successfully applied to the calculation of CP-odd electromagnetic observables induced by a vacuum theta--angle. We implement the approach in calculating the electric dipole moment of the…

高能物理 - 唯象学 · 物理学 2009-10-31 M. Pospelov , A. Ritz

I have been asked to discuss the status of QCD. It seems to me that there are three main points to be made about the present status of QCD: $\bullet$ QCD is right, and we can do many beautiful things with it. $\bullet$ There are several…

高能物理 - 唯象学 · 物理学 2015-06-25 Frank Wilczek

We present a dual representation for the partition function of 2-dimensional scalar quantum electrodynamics with a topological term ($\theta$-term). In the dual representation the complex action problem at non-zero $\theta$ is absent, which…

高能物理 - 格点 · 物理学 2014-10-14 Thomas Kloiber , Christof Gattringer

We determine the phase diagram and chiral condensate for lattice QCD with two flavors of twisted-mass fermions in the presence of nondegenerate up and down quarks, discretization errors and a nonzero value of $\Theta_{\rm QCD}$. Although…

高能物理 - 格点 · 物理学 2015-11-25 Derek P. Horkel , Stephen R. Sharpe

In this paper we revisit the classical problem of polynomial interpolation, with a slight twist; namely, polynomial evaluations are available up to a group action of the unit circle on the complex plane. It turns out that this new setting…

数值分析 · 数学 2020-03-11 Michal R. Przybylek , Pawel Siedlecki