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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…

High Energy Physics - Lattice · Physics 2022-01-07 Jana N. Guenther

The large-beta_0 limit of QCD is discussed, with the emphasize on simple technical methods of calculating various quantities at the order 1/\beta_0. Many examples, mainly from heavy quark physics, are considered. Some QCD results based on…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Grozin

The study of QCD at finite baryon density is severely hampered by the so-called fermion sign problem. As a result, we have no known first principles approach to study nuclear matter, or neutron stars from QCD. On the surface, the large Nc…

High Energy Physics - Phenomenology · Physics 2011-10-27 Aleksey Cherman , Brian C. Tiburzi

We discuss how various models of scale-free complex networks approach their limiting properties when the size N of the network grows. We focus mainly on equilibrated networks and their finite-size degree distributions. Our results show that…

Statistical Mechanics · Physics 2009-11-13 B. Waclaw , L. Bogacz , W. Janke

The compatibility of theoretically calculated values for the strong coupling constant,through the renormalization group approach with experimental data is studied. There exist considerable divergence in-between theoretical and experimental…

High Energy Physics - Phenomenology · Physics 2021-05-28 K. Javidan , M. M. Yazdanpanah , H. Nematollahi

The spectral properties of the Wilson-Dirac operator in 2-dimensional QED responsible for the appearance of exceptional configurations in quenched simulations are studied in detail. The mass singularity structure of the quenched functional…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

The problem of improving the reliability of perturbative QCD predictions at moderate energies is considered. These predictions suffer from substantial renormalization scheme dependence, which is illustrated using as an example the QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Linearized Coupled Cluster Doubles (LinCCD) often provides near-singular energies in small-gap systems that exhibit static correlation. This has been attributed to the lack of quadratic $T_2^2$ terms that typically balance out small energy…

Chemical Physics · Physics 2025-05-13 Kevin Carter-Fenk

This work is concerned with the fundamental scaling laws of quasi-complementary sequence sets (QCSSs) by understanding how large the set size (denoted by $M$) can grow with the flock size ($K$) and the sequence length ($N$). We first…

Combinatorics · Mathematics 2026-04-16 Huaning Liu , Lirong Guo , Zilong Liu

Using the recently proposed generalization to an arbitrary number of colors of the strong coupling approach to lattice gauge theories\cite{Grignani:2003uv}, we compute the chiral condensate of massless QCD in the 't Hooft limit.

High Energy Physics - Lattice · Physics 2009-11-10 Gianluca Grignani , Donatella Marmottini , Pasquale Sodano

We construct an anomaly-preserving compactification of 4d gauge theories, including $SU(N)$ Yang-Mills theory, $\mathcal{N}=1$ supersymmetric Yang-Mills theory, and QCD, down to 2d by turning on 't Hooft flux through $T^2$. It provides a…

High Energy Physics - Theory · Physics 2022-04-27 Yuya Tanizaki , Mithat Ünsal

In this paper, rough approximations of Cayley graphs are studied and rough edge Cayley graphs are introduced. Furthermore, a new algebraic definition called pseudo-Cayley graphs containing Cayley graphs is proposed. Rough approximation is…

Group Theory · Mathematics 2012-03-13 M. H. Shahzamanian , M. Shirmohammadi , B. Davvaz

We compare the approach to the chiral transition line $~\kappa_c(\bt)~$ in quenched and full compact lattice QED with Wilson fermions within the confinement phase, especially in the pseudoscalar sector of the theory. We show that in the…

High Energy Physics - Lattice · Physics 2009-10-28 A. Hoferichter , V. K. Mitrjushkin , M. Müller--Preussker , H. Stüben

Conserving approximations are applied to the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice). All effects of nonconstant density of states and vertex corrections are taken into account in the…

Condensed Matter · Physics 2009-10-22 J. K. Freericks

Application of intersection theory to construction of n-point finite-difference equations associated with classical integrable systems is discussed. As an example, we present a few exact discretizations of one-dimensional cubic and quintic…

Exactly Solvable and Integrable Systems · Physics 2018-08-15 A. V. Tsiganov

Recently, Kaplan proposed an interesting extension of QCD named Extended QCD or XQCD with bosonic auxiliary fields [1]. While its partition function is kept exactly the same as that of QCD, XQCD naturally contains properties of low-energy…

High Energy Physics - Lattice · Physics 2015-10-16 Hidenori Fukaya , Ryo Yamamura

The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of…

High Energy Physics - Lattice · Physics 2010-11-05 Timothy J. Hollowood , Joyce C. Myers

Since QCD is believed to be the underlying theory of the strong interaction, it is appropriate to study techniques that take into account more features of its rich and complex structure. We begin by discussing aspects of physics that are…

Nuclear Theory · Physics 2007-05-23 Richard F. Lebed

We study Z_N strings in nonabelian gauge theories, when they can be considered as domain walls compactified on a cylinder and stabilized by the flux inside. To make the wall vortex approximation reliable, we must take the 't Hooft large N…

High Energy Physics - Theory · Physics 2009-11-11 Stefano Bolognesi

Bi-scalar CFT from $\gamma$ deformed $\cal N$=4 SYM describes the fishnet theory which is integrable in the planar limit. The holographic dual of the planar model is the fishchain model. The derivation of the weak-strong duality from the…

High Energy Physics - Theory · Physics 2023-11-01 Wung-Hong Huang
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