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We study the critical behavior of lattice Quantum Chromodynamics (QCD) in the strong coupling approximation with Kogut-Susskind and Wilson fermions at finite temperature ($T$) and zero chemical potential. Using the Hamiltonian formulation…

High Energy Physics - Lattice · Physics 2010-11-05 Yasuo Umino

We study the deconfining phase transition at nonzero temperature in a SU(N) gauge theory, using a matrix model which was analyzed previously at small N. We show that the model is soluble at infinite N, and exhibits a Gross-Witten-Wadia…

High Energy Physics - Theory · Physics 2015-06-05 Robert D. Pisarski , Vladimir V. Skokov

Numerical and anaytical studies of the instanton liquid model have allowed the determination of many hadronic parameters during the last 13 years. Most part of this thesis is devoted to the extension of the analytical methods. The meson…

High Energy Physics - Phenomenology · Physics 2008-02-03 Marcus Hutter

The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied non-perturbatively in the large-N limit, via lattice simulations. We present high-precision numerical results for the pressure, trace of the…

High Energy Physics - Lattice · Physics 2009-12-14 Marco Panero

We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations…

High Energy Physics - Lattice · Physics 2009-11-10 Biagio Lucini , Michael Teper , Urs Wenger

Using holographic duality, we investigate the impact of finite temperature on the instability and splitting patterns of quadruply quantized vortices, providing the first-ever analysis in this context. Through linear stability analysis, we…

Quantum Gases · Physics 2023-12-01 Shanquan Lan , Xin Li , Yu Tian , Peng Yang , Hongbao Zhang

We describe the properties of instantons in lattice gauge theory when the action is a fixed point action of some renormalization group transformation. We present a theoretically consistent method for measuring topological charge using an…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand , Anna Hasenfratz , Decai Zhu

I review recent progress in numerical simulations of finite temperature quantum chromodynamics and discuss the status of some outstanding problems. Included is (1) a discussion of recent results determining the temperature of the ``phase…

High Energy Physics - Lattice · Physics 2008-11-26 C. DeTar

We investigate the topological properties of $N_f = 2+1$ QCD with physical quark masses, at temperatures around 500 MeV. With the aim of obtaining a reliable sampling of topological modes in a regime where the fluctuations of the…

High Energy Physics - Lattice · Physics 2018-12-12 Claudio Bonati , Massimo D'Elia , Guido Martinelli , Francesco Negro , Francesco Sanfilippo , Antonino Todaro

We report on new analyses of the topological and chiral vacuum structure of four-dimensional QCD on the lattice. Correlation functions as well as visualization of monopole currents in the maximally Abelian gauge emphasize their topological…

High Energy Physics - Lattice · Physics 2008-11-26 E. -M. Ilgenfritz , H. Markum , M. Müller--Preussker , W. Sakuler , S. Thurner

Non-perturbative studies of the thermodynamics of strongly interacting elementary particles within the context of lattice regularized QCD are being reviewed. After a short introduction into thermal QCD on the lattice we report on the…

High Energy Physics - Lattice · Physics 2007-05-23 F. Karsch , E. Laermann

We work out the method for evaluating the QCD coupling constant at finite temperature ($T$) by making use of the finite $T$ renormalization group equation up to the one-loop order on the basis of the background field method with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Chaichian , M. Hayashi

A large body of evidence from lattice calculations indicates that instantons play a major role in the physics of light hadrons. This evidence is summarized, and recent results concerning the instanton content of the SU(3) vacuum, instanton…

High Energy Physics - Lattice · Physics 2009-10-31 John W. Negele

We perform large-scale Quantum Monte Carlo (QMC) simulations for strongly interacting bosons in a 2D optical lattice trap, and confirm an excellent agreement with the benchmarking in-situ density measurements by the Chicago group [1]. We…

Quantum Gases · Physics 2011-03-16 Shiang Fang , Chia-Ming Chung , Ping Nang Ma , Pochung Chen , Daw-Wei Wang

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

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

For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed and $N_s\to\infty$, approaching the phase transition from the confined phase. For $N_{\tau}=4$, 5…

High Energy Physics - Lattice · Physics 2008-11-26 Bernd A. Berg , Alexei Bazavov

We consider model A dynamics for a heating quench from the disordered (confined) into the ordered (deconfined) phase of SU(3) lattice gauge theory. For $4 N_{\sigma}^3$ lattices the exponential growth factors of low-lying structure function…

High Energy Physics - Lattice · Physics 2008-11-26 Alexei Bazavov , Bernd A. Berg , Alexander Velytsky

We propose a new scenario for early cosmology, where inflationary de Sitter phase dynamically occurs. The effect emerges as a result of dynamics of the topologically nontrivial sectors in expanding universe. Technically the effect can be…

High Energy Physics - Theory · Physics 2014-04-29 Ariel R. Zhitnitsky

An elementary introduction is presented to the study of hadron structure using lattice QCD. Following a brief review of relevant aspects of path integrals, the discrete lattice path integral is presented for gluon and quark fields and used…

High Energy Physics - Lattice · Physics 2007-05-23 J. W. Negele

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…

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