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In this Chapter QCD interactions between a quark and an anti-quark are discussed. In the heavy quark limit these potentials can be related to quarkonia and $1/m$ corrections can be systematically determined. Excitations of the ground state…

Nuclear Theory · Physics 2018-09-26 G. Bali , A. M. Green

We report on spectra of circuit-quantum-electrodynamics (QED) systems in an intermediate regime that lies between the ultrastrong and deep-strong-coupling regimes, which have been reported previously in the literature. Our experimental…

Quantum Physics · Physics 2017-05-16 Fumiki Yoshihara , Tomoko Fuse , Sahel Ashhab , Kosuke Kakuyanagi , Shiro Saito , Kouichi Semba

We use the dynamical structure factors of the quantum Hall states at $\nu=1/3$ and $\nu=1/2$ in the lowest Landau level to study their excitation spectrum. Using the density matrix renormalization group in combination with the…

Strongly Correlated Electrons · Physics 2022-09-07 Prashant Kumar , F. D. M. Haldane

The chiral symmetry of QCD is studied at finite temperature and chemical potential using the Schwinger-Dyson equation in the improved ladder approximation. We calculate three order parameters; the vacuum expectation value of the quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yusuke Taniguchi , Yuhsuke Yoshida

We formulate a field theory for resonantly interacting anyons, that enables us to perform a perturbative calculation near the fermionic limit. We derive renormalization group equations for three-body and four-body couplings at one-loop…

High Energy Physics - Theory · Physics 2008-11-26 Yusuke Nishida

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a…

High Energy Physics - Phenomenology · Physics 2014-11-18 Thomas Becher , Matthias Neubert

We study in detail the influence of different chemical potentials (baryon, charged, strange, and neutrino) on how and how fast a free gas of quarks in the zero-temperature limit reaches the conformal limit. We discuss the influence of…

High Energy Physics - Phenomenology · Physics 2024-07-11 Connor Brown , Veronica Dexheimer , Rafael Bán Jacobsen , Ricardo Luciano Sonego Farias

We calculate the next-to-leading order QCD corrections to quark-quark annihilation to a scalar resonant state ("diquark") in a color representation of antitriplet or sextet at the Tevatron and LHC energies. At the LHC, we find the…

High Energy Physics - Phenomenology · Physics 2010-02-15 Tao Han , Ian Lewis , Thomas McElmurry

In this contributions we discuss the novel version of hadron resonance gas model which is based on the induced surface tension concept. Also we present new arguments in favor of a hypothesis that the chiral symmetry restoration transition…

We consider a spin-$\frac12$ electron in a translation-invariant model of non-relativistic Quantum Electrodynamics (QED). Let $H(\vp,\sig)$ denote the fiber Hamiltonian corresponding to the conserved total momentum $\vp\in\R^3$ of the Pauli…

Mathematical Physics · Physics 2008-04-02 Thomas Chen

By using quark Yukawa matrices only, we can construct renormalization invariants that are exact at the one-loop level in the standard model. One of them $I^q$ is accidentally consistent with unity, even though quark masses are strongly…

High Energy Physics - Phenomenology · Physics 2015-04-21 Takanao Tsuyuki

We present a study of the IR behaviour of a three-dimensional super-renormalisable quantum field theory (QFT) consisting of a scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction. A bare mass is required for the theory to…

In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which…

High Energy Physics - Phenomenology · Physics 2022-09-28 Wei-jie Fu

The three-loop non-mixing contributions to the anomalous dimension of the leading order quark pair production current in non-relativistic QCD are computed. It is demonstrated that the renormalization procedure can only be carried out…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. H. Hoang

The perturbative expression of the running strong coupling constant \alpha_{\rm s}(Q^{2}) has an unphysical singularity for Q^{2} = \Lambda^{2}_{\rm QCD}. Various modification have been proposed for the infrared region. The effect of some…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Baldicchi , G. M. Prosperi

We present a model to describe a generic circuit QED system which consists of multiple artificial three-level atoms, namely qutrits, strongly coupled to a cavity mode. When the state transition of the atoms disobey the selection rules the…

Quantum Physics · Physics 2017-10-18 Peng Zhao , Xinsheng Tan , Haifeng Yu , Shi-Liang Zhu , Yang Yu

QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a…

High Energy Physics - Theory · Physics 2017-12-06 Kyle Aitken , Aleksey Cherman , Erich Poppitz , Laurence G. Yaffe

We address the problem of solution of the QCD three-particle evolution equations which govern the Q-dependence of the chiral-even quark-gluon-quark and three-gluon correlators contributing to a number of asymmetries at leading order and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Belitsky

A heavy quark placed in the medium modifies its specific heat. Using a renormalization group argument we show a low energy theorem in terms of the defect in the trace of the energy-momentum tensor which allows the unambiguous determination…

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

Dense QCD matter can feature a moat regime, where the static energy of mesons is minimal at nonzero momentum. Valuable insights into this regime can be gained using low-energy models. This, however, requires a careful assessment of model…

High Energy Physics - Phenomenology · Physics 2026-04-15 Fabian Rennecke , Shi Yin
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