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The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

High Energy Physics - Phenomenology · Physics 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

The potential between heavy quarks can be rigorously defined in a QCD effective field theories framework. I discuss the general situation when the coupling constant may not be considered small and provide an explicit expression for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Antonio Vairo

We present the low-energy effective theory on long strings in quantum field theory, including a streamlined review of previous literature on the subject. Such long strings can appear in the form of solitonic strings, as in the 4d Abelian…

High Energy Physics - Theory · Physics 2015-06-15 Ofer Aharony , Zohar Komargodski

Within an effective field theory framework we study heavy-quark--antiquark systems with a typical distance between the heavy quark and the antiquark smaller than $1/\Lambda_{\rm QCD}$. A suitable definition of the potential is given within…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Brambilla , A. Pineda , J. Soto , A. Vairo

We show how an effective field theory of long distance QCD, describing a dual superconductor, can be expressed as an effective string theory of superconducting vortices. We use the semiclassical expansion of this effective string theory…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Baker

The U(1) lattice gauge theory in three dimensions is a perfect laboratory to study the properties of the confining string. On the one hand, thanks to the mapping to a Coulomb gas of monopoles, the confining properties of the model can be…

High Energy Physics - Lattice · Physics 2015-05-12 Davide Vadacchino , Michele Caselle , Marco Panero , Roberto Pellegrini

Effective string theory describes the physics of long confining strings in theories, like Yang-Mills theory, where the mass gap $M_{gap}^2$ is of the same order as the string tension $T$. In $2+1$ dimensions, there is a class of confining…

High Energy Physics - Theory · Physics 2025-02-19 Ofer Aharony , Netanel Barel , Tal Sheaffer

QCD string is formed at the distances larger than the confinement scale and can be described by the Polchinski--Strominger effective string theory with a nonpolynomial action, which has nevertheless a well-defined semiclassical expansion…

High Energy Physics - Theory · Physics 2011-01-26 Yuri Makeenko

We review and elaborate on properties of the string tension in two-dimensional gauge theories. The first model we consider is massive QED in the $m\ll e$ limit. We evaluate the leading string tension both in the fermionic and bosonized…

High Energy Physics - Theory · Physics 2009-10-31 A. Armoni , Y. Frishman , J. Sonnenschein

We propose a string theory construction which allows us to study properties of the potential of two heavy quarks coupled to a light quark. In such a case, the potential is a function of separation between the heavy quarks. The results show…

High Energy Physics - Phenomenology · Physics 2023-01-11 Oleg Andreev

Expressions for the potentials appearing in the nonrelativistic effective field theory description of doubly heavy baryons are known in terms of operator insertions in the Wilson loop. However, their evaluation requires nonperturbative…

High Energy Physics - Phenomenology · Physics 2021-11-19 Joan Soto , Jaume Tarrús Castellà

We begin with an effective string theory for long distance QCD, and evaluate the semiclassical expansion of this theory about a classical rotating string solution, taking into account the the dynamics of the boundary of the string. We show…

High Energy Physics - Theory · Physics 2009-11-07 M. Baker , R. Steinke

We show how an effective field theory of long distance QCD, describing a dual superconductor, can be expressed as an effective string theory of superconducting vortices. We use the semiclassical expansion of this effective string theory…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Baker , R. Steinke

Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

A covariant calculus for the construction of effective string theories is developed. Effective string theory, describing quantum string-like excitations in arbitrary dimension, has in the past been constructed using the principles of…

High Energy Physics - Theory · Physics 2007-09-13 N. D. Hari Dass , Peter Matlock

We study the spin splitting in the heavy quarkonium hybrid spectrum within the framework of an nonrelativistic effective field theory. We derive for the first time the spin-dependent part of the heavy-quark-antiquark potential for heavy…

High Energy Physics - Phenomenology · Physics 2018-12-05 Wai Kin Lai

In this set of notes we simplify the formulation of the Poincare'-invariant effective string theory in D dimensions by adding an intrinsic metric and embedding its dynamics into the Polyakov formalism. We use this formalism to construct…

High Energy Physics - Theory · Physics 2017-02-21 Simeon Hellerman , Shunsuke Maeda , Jonathan Maltz , Ian Swanson

In the framework of the Born-Oppenheimer Effective Field Theory, the hyperfine structure of heavy quarkonium hybrids at leading order in the 1/m Q expansion is determined by two potentials. We estimate those potentials by interpolating…

High Energy Physics - Phenomenology · Physics 2025-12-25 Joan Soto , Sandra Tomàs Valls

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Suraj N. Gupta , James M. Johnson

We consider correlation functions containing the axial current of one light and one heavy quark in the static approximation as well as in full QCD, using the lattice regularization. Up to one-loop order of perturbation theory, we study the…

High Energy Physics - Lattice · Physics 2016-09-01 ALPHA Collaboration , Martin Kurth , Rainer Sommer
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