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Related papers: Operator product expansion at finite temperature

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We study the thermodynamics of two-color QCD at high temperature and/or density using a dimensionally reduced superrenormalizable effective theory, formulated in terms of a coarse grained Wilson line. In the absence of quarks, the theory is…

High Energy Physics - Phenomenology · Physics 2012-03-01 Tian Zhang , Tomáš Brauner , Aleksi Kurkela , Aleksi Vuorinen

We consider the basic heat operator on functions on a Riemannian foliation of a compact, Riemannian manifold, and we show that the trace of this operator has a particular short time asymptotic expansion. The coefficients in this expansion…

Differential Geometry · Mathematics 2011-04-07 Ken Richardson

We consider the problems of calculating the dynamical order parameter two-point function at finite temperatures and the one-point function after a quantum quench in the transverse field Ising chain. Both of these can be expressed in terms…

Statistical Mechanics · Physics 2020-10-30 Etienne Granet , Maurizio Fagotti , Fabian H. L. Essler

We derive expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which are suitable for taking the infinite Trotter number limit. These form factors determine the finitely many amplitudes in the leading…

Statistical Mechanics · Physics 2015-06-15 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski

The operator product expansion in four-dimensional superconformal field theory is discussed. The OPE takes a particularly simple form for chiral operators, in $N=1$ and $N=2$, and for analytic operators, in $N=2$ and $N=4$. It is argued…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , P. C. West

We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the…

High Energy Physics - Theory · Physics 2020-12-11 Parijat Dey , Tobias Hansen , Mykola Shpot

With the use of the world-line formalism, the heavy-quark condensate in the SU(N)-QCD is evaluated for the cases when the next-to-1/r term in the quark-antiquark potential at short distances is either quadratic, or linear. In the former…

High Energy Physics - Phenomenology · Physics 2010-02-23 Dmitri Antonov

We present lattice non-relativistic QCD calculations of bottomonium correlation functions at temperatures $T \simeq 150-350$ MeV. The correlation functions were computed using extended bottomonium operators, and on background gauge-field…

High Energy Physics - Lattice · Physics 2020-06-01 Rasmus Larsen , Stefan Meinel , Swagato Mukherjee , Peter Petreczky

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

We investigate the finite-temperature phase structure and the scaling of the chiral condensate in lattice QCD with two degenerate light quarks, using a renormalization group improved gauge action and the Wilson quark action. We obtain a…

High Energy Physics - Lattice · Physics 2009-10-30 S. Aoki , Y. Iwasaki , K. Kanaya , S. Kaya , A. Ukawa , T. Yoshié

We study the scaling properties of the finite temperature QCD phase transition, for light quark masses ranging from the heavy quark regime to their physical values. The lattice results are obtained in the fixed scale approach from…

High Energy Physics - Lattice · Physics 2021-11-03 A. Yu. Kotov , M. P. Lombardo , A. Trunin

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

In a companion paper, we derived analytical expressions for the structure factor of the square-shoulder potential in a perturbative way around the high- and low-temperature regimes. Here, various physical properties of these solutions are…

Soft Condensed Matter · Physics 2020-06-08 O. Coquand , M. Sperl

We employ a thermodynamic $T$-matrix approach to study Wilson line correlators (WLCs) for a static quark-antiquark pair within the quark-gluon plasma (QGP). By refining earlier determined input parameters, self-consistent $T$-matrix…

High Energy Physics - Theory · Physics 2024-01-09 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp

Fluctuations and correlations of conserved quantities in the confined phase of QCD are a viable way to characterize the existence of exotic and missing states with given quantum numbers in the hadronic spectrum. We study a realization of…

High Energy Physics - Phenomenology · Physics 2025-01-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

Limits on the regions of $Q^2$ and x where the operator product expansion canbe safely used, at small values of x are given. For a fixed large $Q^2$ there is an $x_0(Q^2)$ such that for Bjorken x-values below $x_0$ the operator product…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. H. Mueller

A new method of constructing a weak coupling expansion of two dimensional (2D) models with an unbroken continuous symmetry is developed. The method is based on an analogy with the abelian XY model, respects the Mermin-Wagner (MW) theorem…

High Energy Physics - Lattice · Physics 2009-10-31 O. Borisenko , V. Kushnir , A. Velytsky

In many quantum field theories (such as higher-dimensional holomorphic field theories or raviolo theories), operator product expansions of local operators can have as coefficients not only ordinary functions but also 'derived' functions…

High Energy Physics - Theory · Physics 2025-07-24 Luigi Alfonsi , Hyungrok Kim

The thermodynamic limit of certain exponential corrections to the weak coupling expansion of two-dimensional models is investigated. The expectation values of operators contributing to the first order coefficient of the low-temperature…

High Energy Physics - Lattice · Physics 2009-10-31 O. Borisenko , V. Kushnir

With the help of the Mellin-Barnes transform, we show how to simultaneously resum the expansion of a heavy-quark correlator around q^2=0 (low-energy), q^2= 4 m^2 (threshold, where m is the quark mass) and q^2=-\infty (high-energy) in a…

High Energy Physics - Phenomenology · Physics 2011-01-17 D. Greynat , S. Peris
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