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We develop some techniques which allow an analytic evaluation of space-like observables in high temperature lattice gauge theories. We show that such variables are described extremely well by dimensional reduction. In particular, by using…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , A. D'Adda

I explore the possibility of finding an equivalent string representation of two dimensional QCD. I develop the large N expansion of the ${\rm QCD_2}$ partition function on an arbitrary two dimensional Euclidean manifold. If this is related…

High Energy Physics - Theory · Physics 2009-10-22 David J. Gross

The string breaking phenomenon in QCD can be studied using the gauge/string duality. In this approach, one can make estimates of some of the string breaking distances at non-zero temperature and baryon chemical potential. These point…

High Energy Physics - Phenomenology · Physics 2020-05-20 Oleg Andreev

The pressure and the energy density of the $SU(3)$ gauge theory are calculated on lattices with temporal extent $N_\tau = 4$, 6 and 8 and spatial extent $N_\sigma =16$ and 32. The results are then extrapolated to the continuum limit. In the…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Luetgemeier , B. Petersson

The thermodynamics of quarks and gluons strongly depends on the vacuum colormagnetic field, which grows with the temperature $T$, so that spatial string tension $\sigma_s ={\rm const}~ g^4 (T) T^2$. We investigate below what happens when…

High Energy Physics - Phenomenology · Physics 2018-07-04 M. A. Andreichikov , Yu. A. Simonov

We derive a universal thermal effective potential, which describes all possible high-temperature instabilities of the known N=4 superstrings, using the properties of gauged N=4 supergravity. These instabilities are due to three…

High Energy Physics - Theory · Physics 2014-11-18 Ignatios Antoniadis , J. -Pierre Derendinger , Costas Kounnas

Simulations in lattice gauge theory suggest that the formation of a flux tube between quark and antiquark leads to quark confinement. It is conjectured that the infrared behaviour of the flux tube is governed by an effective string theory…

High Energy Physics - Lattice · Physics 2013-08-26 Bastian B. Brandt

We perform a high precision measurement of the spectrum of the QCD flux tube in three-dimensional $\SU(2)$ gauge theory at multiple lattice spacings. We compare the results at large $q\bar{q}$ separations $R$ to the spectrum predicted by…

High Energy Physics - Lattice · Physics 2022-02-18 Bastian B. Brandt

Transport theory is an efficient approach to derive an effective theory for the soft modes of QCD at high temperature. It is known that the leading order operators of this theory can be obtained from (semi-classical) kinetic equations of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Cristina Manuel

We study the phase structure of QCD at finite temperatures with two flavors of dynamical quarks on a lattice with the size $N_s^3 \times N_t=16^3 \times 4$, using a renormalization group improved gauge action and a clover improved Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 N. Ukita , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , S. Aoki , K. Kanaya

The crossing from a static quark-antiquark system to a system of two static-light mesons when the separation of the static quarks is increased is calculated in zero-temperature lattice QCD. The mixing of these two states is extracted from…

High Energy Physics - Lattice · Physics 2007-05-23 UKQCD Collaboration , P. Pennanen , C. Michael

Although partition temperature derived using the Darwin-Fowler method is exact for simple scenarios, the derivation for complex systems might reside on specific approximations whose viability is not ensured if the thermodynamic limit is not…

Nuclear Theory · Physics 2023-11-09 Wei-Liang Qian , Kai Lin , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

We calculate second- and fourth-order cumulants of conserved charges in a temperature range stretching from the QCD transition region towards the realm of (resummed) perturbation theory. We perform lattice simulations with staggered quarks;…

High Energy Physics - Lattice · Physics 2015-12-23 R. Bellwied , S. Borsanyi , Z. Fodor , S. D. Katz , A. Pasztor , C. Ratti , K. K. Szabo

We study the thermodynamics of open superstrings in the presence of $p$-dimensional D-branes. We get some finite temperature dualities relating the one-loop canonical free energy of open strings to the self-energy of D-branes at dual…

High Energy Physics - Theory · Physics 2009-10-30 M. A. Vazquez-Mozo

We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a pertubative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas…

Statistical Mechanics · Physics 2009-11-13 R. Chakrabarti , R. Chandrashekar , S. S. Naina Mohammed

We present continuum extrapolated lattice QCD results for up to fourth-order diagonal and off-diagonal quark number susceptibilities in the high temperature region of 300-700 MeV. Lattice QCD calculations are performed using 2+1 flavors of…

High Energy Physics - Lattice · Physics 2015-11-04 H. -T. Ding , Swagato Mukherjee , H. Ohno , P. Petreczky , H. -P. Schadler

The free energy for QCD at high temperature $T$ is calculated to order $g^5$ using effective-field-theory methods to separate the contributions from the momentum scales $T$ and $gT$. The effects of the scale $T$ enter through the…

High Energy Physics - Phenomenology · Physics 2016-08-24 Eric Braaten , Agustin Nieto

We present a one-loop calculation of a gauge invariant QCD beta function. Using both momentum and temperature renormalization group equations we investigate the running coupling in the magnetic sector as a function of temperature and…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. A. van Eijck , C. R. Stephens , Ch. G. van Weert

The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two…

High Energy Physics - Theory · Physics 2008-11-26 David J. Gross , Washington Taylor

We discuss the high temperature behaviour of IIB strings in the maximally symmetric plane wave background, and show that there is a Hagedorn temperature. We discuss the map between strings in the pp-wave background and the dual…

High Energy Physics - Theory · Physics 2011-07-19 Brian R. Greene , Koenraad Schalm , Gary Shiu