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Related papers: Polyakov loop correlator in perturbation theory

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We show that the perturbative expansion of the two-level correlation function, $R(\omega)$, in disordered conductors can be understood semiclassically in terms of self-intersecting particle trajectories. This requires the extension of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert A. Smith , Igor V. Lerner , Boris L. Altshuler

We present a renormalization procedure for Polyakov loops which explicitly implements the fact that the renormalization constant depends only on the ultraviolet cutoff. Using this we study the renormalized Polyakov loops in all…

High Energy Physics - Lattice · Physics 2008-11-26 Sourendu Gupta , Kay Hubner , Olaf Kaczmarek

We calculate the time independent four-point function in high temperature (T) QCD and obtain the leading momentum dependent terms. Furthermore, we relate these derivative interactions to derivative terms in a recently proposed finite T…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Wirstam

We represent Polyakov loops and their correlators as spectral sums of eigenvalues and eigenmodes of the lattice Dirac operator. The deconfinement transition of pure gauge theory is characterized as a change in the response of moments of…

High Energy Physics - Lattice · Physics 2009-11-11 Christof Gattringer

We discuss divergences of loop functions in thermal QCD and compute perturbatively the Polyakov loop, the Polyakov loop correlator and the cyclic Wilson loop. We show how these functions get mixed under renormalization.

High Energy Physics - Phenomenology · Physics 2015-06-23 Antonio Vairo

For the Cos(2x)-Potential the coefficients of the weak- and strong coupling perturbation series of the ground state energy are constructed recursively. They match the well-known expansion coefficients of the Mathieu equation's…

Quantum Physics · Physics 2007-05-23 Bodo Hamprecht

Conformal perturbation theory is a powerful tool to describe the behavior of statistical-mechanics models and quantum field theories in the vicinity of a critical point. In the past few years, it has been extensively used to describe…

High Energy Physics - Lattice · Physics 2019-09-30 M. Caselle , N. Magnoli , A. Nada , M. Panero , M. Scanavino

In the heavy, static quark mass regime of QCD, the Polyakov loop is well known to be an order parameter of the deconfinement phase transition; however, the sensitivity of the Polyakov loop to the deconfinement of light, dynamical quarks is…

High Energy Physics - Lattice · Physics 2021-10-28 David Anthony Clarke , Olaf Kaczmarek , Anirban Lahiri , Mugdha Sarkar

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory.…

High Energy Physics - Theory · Physics 2023-12-06 Alessandro Pini , Paolo Vallarino

We propose a new generalized version of the QCD Analytic Perturbation Theory of Shirkov and Solovtsov for the computation of higher-order corrections in inclusive and exclusive processes. We construct non-power series expansions for the…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

We compute the Polyakov loop potential in Yang--Mills theory from the fully dressed primitively divergent correlation functions only. This is done in a variety of functional approaches ranging from functional renormalisation group equations…

High Energy Physics - Phenomenology · Physics 2015-06-12 Leonard Fister , Jan M. Pawlowski

We show that the Polyakov loop approaches its asymptotic value at high temperatures {\it from below} in any strongly-coupled gauge theory at large $N_c$ with a dual supergravity description. In these theories the Polyakov loop can be used…

High Energy Physics - Theory · Physics 2014-11-20 Jorge Noronha

We propose to resum exactly any number of one-loop vacuum polarization insertions into the scale of the coupling of lowest order radiative corrections. This makes maximal use of the information contained in one-loop perturbative corrections…

High Energy Physics - Phenomenology · Physics 2010-11-01 P. Ball , M. Beneke , V. M Braun

We introduce manifestly crossing-symmetric expansions for arbitrary systems of 1D CFT correlators. These expansions are given in terms of certain Polyakov blocks which we define and show how to compute efficiently. Equality of OPE and…

High Energy Physics - Theory · Physics 2024-04-23 Kausik Ghosh , Apratim Kaviraj , Miguel F. Paulos

We present the first next-to-leading-logarithmic QCD analysis of the electromagnetic corrections to the semileptonic weak Hamiltonian, including the mixed $\mathcal{O}(\alpha\,\alpha_s^2)$ corrections to the vector coupling $g_V$. The…

High Energy Physics - Phenomenology · Physics 2026-03-05 Francesco Moretti , Martin Gorbahn , Sebastian Jaeger

By dressing Polyakov lines with appropriate functionals of the gauge fields, we construct observables describing a fundamental representation static quark-antiquark pair in the singlet, adjoint and average channels of SU(N) pure gauge…

High Energy Physics - Lattice · Physics 2009-11-07 O. Philipsen

A non-perturbative method of Field Correlators is applied to calculate the Polyakov loop dependence on temperature, $L(T)$, in the 2+1 flavor QCD with small quark masses, so the only relevant scale is the color-electric string tension…

High Energy Physics - Phenomenology · Physics 2019-04-02 R. A Abramchuk , Z. V. Khaidukov , Yu. A. Simonov

We present a study of correlations among conserved charges like baryon number, electric charge and strangeness in the framework of 2+1 flavor Polyakov loop extended Nambu-Jona-Lasinio model at vanishing chemical potentials, up to fourth…

High Energy Physics - Phenomenology · Physics 2015-03-17 Abhijit Bhattacharyya , Paramita Deb , Anirban Lahiri , Rajarshi Ray

For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We…

Quantum Physics · Physics 2009-10-28 H. Kleinert

We review the theory of weakly coupled oscillators for smooth systems. We then examine situations where application of the standard theory falls short and illustrate how it can be extended. Specific examples are given to non-smooth systems…

Adaptation and Self-Organizing Systems · Physics 2020-06-14 Bard Ermentrout , Youngmin Park , Dan Wilson