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The width of the quantum delocalization of the QCD strings is investigated in effective string models beyond free Nambu-Goto approximation. We consider two Lorentzian-invariant boundary-terms in the L\"uscher-Weisz string action in addition…

High Energy Physics - Lattice · Physics 2020-02-28 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , A. M. Khalaf , M. Khalil William

We put forward the Axionic String Ansatz (ASA), which provides a unified description for the worldsheet dynamics of confining strings in pure Yang--Mills theory both in $D=3$ and $D=4$ space-time dimensions. The ASA is motivated by the…

High Energy Physics - Theory · Physics 2017-03-08 Sergei Dubovsky , Guzman Hernandez-Chifflet

Yang-Mills theories undergo a deconfining phase transition at a critical temperature. In lattice calculations the temporal Wilson loop and Z_3 order parameter show above this temperature a behavior typical of deconfinement. A quantity of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Axel Maas , Burghard Grueter , Reinhard Alkofer , Jochen Wambach

We study the topological structure of $SU(3)$ lattice gluodynamics by cluster analysis. This methodological study is meant as preparation for full QCD. The topological charge density is becoming visible in the process of overimproved…

High Energy Physics - Lattice · Physics 2018-06-26 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov

We discuss the dependence of pure Yang-Mills equation of state on the choice of gauge algebra. In the confined phase, we generalize to an arbitrary simple gauge algebra Meyer's proposal of modelling the Yang-Mills matter by an ideal…

High Energy Physics - Phenomenology · Physics 2011-11-01 Fabien Buisseret , Gwendolyn Lacroix

The spatial distribution of the stress tensor around the quark--anti-quark ($Q\bar{Q}$) pair in SU(3) lattice gauge theory is studied. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable…

High Energy Physics - Lattice · Physics 2019-01-14 Ryosuke Yanagihara , Takumi Iritani , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Axel Maas

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

The distribution of gluon fields in hadrons is of fundamental interest in QCD. Using lattice QCD we have observed the formation of gluon flux tubes within 3 quark (baryon) and quark plus antiquark (meson) systems for a wide variety of…

High Energy Physics - Lattice · Physics 2010-01-07 F. Bissey , A. I. Signal , D. B. Leinweber

The distribution of gluon fields in hadrons is of fundamental interest in QCD. Using lattice QCD we have observed the formation of gluon flux tubes within tri-quark (baryon) systems for a wide variety of spatial distributions of the color…

High Energy Physics - Lattice · Physics 2008-06-05 A. I. Signal , F. R. P. Bissey , D. B. Leinweber

The behavior of supersymmetric theories at finite temperatures differs from that of other theories in certain aspects. Due to the different thermal statistics of bosons and fermions, supersymmetry is explicitly broken for any non-zero value…

High Energy Physics - Lattice · Physics 2015-01-13 G. Bergner , P. Giudice , G. Münster , S. Piemonte , D. Sandbrink

We discuss thermodynamic properties of open confining strings introduced via static sources in the vacuum of Yang-Mills theory. We derive new sum rules for the chromoelectric and chromomagnetic condensates and use them to show that the…

High Energy Physics - Phenomenology · Physics 2020-11-03 M. N. Chernodub

We study the Abelian flux tube profile of mesonic and the baryonic configurations of static quarks below and above the finite-temperature transition in $N_f=2$ full QCD. To reduce effects of ultra-violet fluctuations we measure Abelian…

High Energy Physics - Lattice · Physics 2009-11-10 V. G. Bornyakov , M. N. Chernodub , H. Ichie , Y. Koma , Y. Mori , M. I. Polikarpov , G. Schierholz , H. Stüben , T. Suzuki

We report detailed calculations of the profiles of energy and action densities in the quark-antiquark string in SU(2) lattice gauge theory.

High Energy Physics - Lattice · Physics 2016-08-31 Richard W. Haymaker , Vandana Singh , Yingcai Peng , Jacek Wosiek

Structure of confining string in terms of the topological charge density and the action density is studied in SU(2) Yang-Mills theory on the lattice using HP1 sigma-model embedding approach. We find that the confining flux tube noticeably…

High Energy Physics - Lattice · Physics 2008-11-26 M. N. Chernodub , F. V. Gubarev

We investigate Yang-Lee zeros of grand partition functions as truncated fugacity polynomials of which coefficients are given by the canonical partition functions $Z(T,V,N)$ up to $N \leq N_{\text{max}}$. Such a partition function can be…

High Energy Physics - Phenomenology · Physics 2016-01-20 Kenji Morita , Atsushi Nakamura

The thermodynamic properties of ${\cal N}=1$ supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from…

High Energy Physics - Phenomenology · Physics 2015-09-01 G. Lacroix , C. Semay , F. Buisseret

We calculate the thermodynamic functions of Yang-Mills theory to three-loop order using the hard-thermal-loop perturbation theory reorganization of finite temperature quantum field theory. We show that at three-loop order hard-thermal-loop…

High Energy Physics - Phenomenology · Physics 2015-03-13 Jens O. Andersen , Michael Strickland , Nan Su

We consider the pure Yang-Mills relativistic quantum field theory in an imaginary time functional integral formulation. The gauge group is taken to be $\mathcal G = \mathrm U(N)$. We use a lattice ultraviolet regularization, starting with…

Mathematical Physics · Physics 2020-05-05 Michael O'Carroll , Paulo A. Faria da Veiga

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2010-03-26 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud